BUILD PERSEVERANCEA
a. What is the x-coordinate of the centroid of A ABC?
0
x +
ABC has vertices A(-3, 3), B(2, 5), and C(4, -3).
(3)
Answers
The x-coordinate of the centroid of the triangle ABC with vertices
A(-3, 3), B(2, 5), and C(4, -3) is 1.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
The centroid of a triangle is the common intersection point of all the medians of the triangle.
When vertices of a triangle is given the co-ordinate of the centroid are
(x₁ + x₂ + x₃)/3 and (y₁ + y₂ + y₃)/3.
Given, ΔABC has vertices A(-3, 3), B(2, 5), and C(4, -3).
Therefore, The x-coordinate of the centroid is,
Gₓ = (- 3 + 2 + 4)/3.
Gₓ = 3/3.
Gₓ = 1.
So, The x-coordinate of the centroid is 1.
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Related Questions
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I CAN GIVE BRAINLIEST
Which of the following lists is in order from least to greatest?
3 × 10 -2, 4 -1, , |-2|
|-2|, 4 -1, , 3 × 10 -2
, 3 × 10 -2, |-2|, 4 -1
4 -1, 3 × 10 -2, |-2|,
Answers
Answer: Order from Least to Greatest
-1/8 < 0.33 < 3/8 < 75% < 1 5/8
Step-by-step explanation:
To compare and order fractions we must first convert all integers, mixed numbers (mixed fractions) and fractions into values that we can compare. We do this by first converting all terms into fractions, finding the least common denominator (LCD), then rewriting each term as an equivalent fraction with the LCD. Then we compare the numerators of each fraction and put them in correct order from least to greatest or greatest to least.
Answer:
a
Step-by-step explanation:
hi this is the kid u talked to during aprill and may about that game little alchemy.
Choose the values of a and b that represent the factored form of w2 – 11w + 18.
w2 – 11w + 18 = (w – a)(w – b)
a =
b =
Answers
a = 2
b = 9
........................
Answer:
a=2 b=9
Step-by-step explanation:
w^2-11w+18=0
w^2-9w-2w+18=0
w(w-9)-2(w-9)=0
w=2 or w=9
Therefore a=2 and b=9
7
choose the correct answer *
(2 Points)
When Khadija stands at a distance of 18 m from the base of a tree, she forms
an angle of 57° with the top of the tree. What is the height of the tree to the
nearest tenth?
A 27.7 m
B 28.5 m
C 29.2 m
D 301 m
Answers
Please help with this I really mean it because if its wrong I fail
Answers
Answer:
16 is the correct answer
1. A taxi charges a flat rate of $1.75 plus an additional $0.65 per mile. If Eli has at most $10 to spend on the cab ride, how far could he travel?
17 miles
12 miles
23 miles
9 miles
2. Which inequality matches the statement below?
Three-fourths times x added to two times x is more than eleven
3/4x + 2 > 11
2x + 3/4x > 11
3/4(x+2) > 11
3/4 + x + 2 + x > 11
Answers
Eli could travel 12 miles and 3/4x+2x>11 inequality matches the statement Three-fourths times x added to two times x is more than eleven
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
Given that a taxi charges a flat rate of $1.75 and an additional $0.65 per mile.
Eli has at most $10 to spend on the cab ride
We need to find how far could he travel
1.75+0.65x≤10
Subtract 1.75 on both sides
0.65x≤10-1.75
0.65x≤8.25
x≤8.25/0.65
x≤12.6
So he could travel 12 miles.
Three-fourths times x added to two times x is more than eleven
3/4x+2x>11
Hence, Eli could travel 12 miles and 3/4x+2x>11 inequality matches the statement Three-fourths times x added to two times x is more than eleven
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can anyone help?? I’ll give brainliest! :)
Answers
Answer:
Step-by-step explanation:
I believe the answer is
C) Laura mixed more vinegar per cup of olive oil, because 3:1 is greater than 4:2
Per 1 cup, Laura has 3 tbsp of vinegar, but Juliette only has 2 tbsp per cup.
It wouldn't be D) because 3 tbsps aren't bigger than 2 cups....
Kate spent 44 pounds in the holidays.
she spent three times as much on clothes as she did on food.
How much did she spend on food ?
Answers
Answer:
11 pounds
Step-by-step explanation:
The ratio of the amount of money Rachel spent on food to clothes is 1/3
She spent: 44 : (1 + 3) x 1 = 11 pounds
Answer:11
Step-by-step explanation:
11 times 3 equals 33(for the clothing)
so 11 is left
Bree described a yardstick as a length of wood that starts at 0 and continues onto 36 inches. Which geometric term best describes Bree's description of a yardstick
Answers
Answer:
The geometric term best described is a line.
Step-by-step explanation:
Given - Bree described a yardstick as a length of wood that starts at 0 and continues onto 36 inches.
To find - Which geometric term best describes Bree's description of a yardstick
Solution -
The geometric term best described is a line.
lay a game of rolling a 6-side dice: for each roll, you can get the face value or reroll it, and you can roll it three times at most. Suppose you are a rational person, how munch would you pay for this game
Answers
The probability that at least one 6 will occur on two dice is 30.5%.
What is the probability of scoring 6?To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur. There are differences between probability and odds. Odds are calculated by dividing a situation's likelihood of occurring by its likelihood of not occurring.
1, 2, and 3 are the six factors. Four of the results of a single die's six possible outcomes are multiples of 6. It follows that 4/6 is the probability.
11.5%, or slightly less than 33.3% (2/6), out of 36 occasions. The probability that at least one 6 will occur on two dice is 30.5%. Without using the picture, one can also calculate this number mathematically.
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Using the concept of likelihood and probability ,The probability that at least one 6 will occur on two dice is 30.5%.
What is probability?Probability is a measure of the likelihood that a particular event will occur. It is expressed as a number between 0 and 1, with 0 indicating that an event will not occur and 1 indicating that an event will certainly occur. For example, the probability of flipping a fair coin and it landing on heads is 0.5, or 50%. Probability is used in many fields, including mathematics, statistics, finance, and science. In statistics, probability is used to make inferences about a population based on a sample, while in finance, probability is used to evaluate the potential outcomes of investments.
What is conditional probability?Conditional probability is the probability of an event occurring given that another event has already occurred. It is written as P(A|B), which is read as "the probability of A given B." For example, the probability of rolling a 6 on a fair die given that the roll is an even number would be P(6|even) = 1/3, because there is only one way to roll a 6 out of the 3 possible even numbers (2, 4, 6).
1, 2, and 3 are the six factors. Four of the results of a single die's six possible outcomes are multiples of 6. It follows that 4/6 is the probability.
11.5%, or slightly less than 33.3% (2/6), out of 36 occasions. The probability that at least one 6 will occur on two dice is 30.5%. Without using the picture, one can also calculate this number mathematically.
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Luc is investigating dilations of scale factor 2 of the line y = -4x +3. He claims that for some centers of dilation, the line will remain the same. Which centers of dilation could be used to support Luc's claim? Select ALL that apply.
Answers
Luc is correct in stating that the line will remain the same with certain dilation centers, such as the origin (0, 0) and the point (3, -4). These centers of dilation will cause a scale factor of 2, but the line will remain the same.
To check if Luc is correct, we can calculate the points of the dilation with scale factor 2.
For the origin (0, 0):
Point A: (x, y) = (0, 3)
Point B: (x, y) = (-4, -3)
Dilated Point A: (x, y) = (0, 6)
Dilated Point B: (x, y) = (-8, -6)
Equation of the dilated line: y = -4x + 6
This shows that the line is dilated with scale factor 2, but is the same line.
For the point (3, -4):
Point A: (x, y) = (3, -1)
Point B: (x, y) = (-1, -7)
Dilated Point A: (x, y) = (6, -2)
Dilated Point B: (x, y) = (-2, -14)
Equation of the dilated line: y = -4x + 3
This shows that the line is dilated with scale factor 2, but is the same line.
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Kate is putting mulch down in her circular shaped garden. The garden has a radius of 12 feet. How much mulch does she need?
Answers
Kate needs to buy 453.6 ft2 of mulch for her 12 ft radius garden, which is equal to 76.3 cubic feet when multiplied by the desired depth.
Kate needs to purchase 453.6 cubic feet of mulch for her garden. To figure this out, she needs to first calculate the area of her garden using the formula A = πr2, where A is the area of the garden and r is the radius. In this case, the area of Kate’s garden is 453.6 ft2. For example, if she wants to put down 2 inches of mulch, she would need to purchase 453.6 ft2 x 0.167 ft = 76.3 cubic feet. This calculation can be adjusted depending on the depth of mulch desired. For example, if Kate wants to put down 3 inches of mulch, she would need to purchase
453.6 ft2 x 0.25 ft = 113.4 cubic feet
A = πr2
A = π(12)2
A = 453.6 ft2
Mulch = A x depth
Mulch = 453.6 ft2 x 0.167 ft
Mulch = 76.3 cubic feet
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assuming all parabolas are of the form y = ax^2 + bx + c drag and drop the graphs to match the appropriate a-value
Answers
Answer:
A parabola has the form:
y = a*x^2 + b*x + c
Where a is the leading coefficient.
If a is positive, the parabola opens up.
If a is negative, the parabola opens down.
a is the factor that multiplies the part that grows the fastest in the equation, thus, if a is a larger value (in absolute value) then the parabola will grow faster (then the parabola will be narrow)
if a is smaller (again, in absolute value) the parabola will grow slower, then the parabola will be wider.
With this, we can conclude that:
a = -4
is the largest value of a in absolute value.
Then this corresponds to the thinner parabola (the one at the left)
a = -1
Is the middle value of a, then this corresponds to the graph of the middle
a = -0.25
Is the smallest absolute value of a, then this one corresponds to the widest graph (the first one at the left)
At an arts festival, Jamal, a camp counselor, bought food tickets for his hungry campers. The campers can use them to get hot dogs, which cost 4 tickets apiece, and burgers, which cost 5 tickets apiece. In total, the campers can use up to 21 tickets, which is how many Jamal bought. Write an Inequality that best describe this situation
Answers
Inequality in its most basic form explains this circumstance is 5x + 4y ≤ 21
What isan Inequality?Jamal, a camp counsellor, purchased meal tickets at an arts festival for his ravenous kids. The campers may use them to purchase burgers and hot dogs, both of which cost four tickets each.
A camp counsellor purchased meal tickets at an arts festival for her ravenous kids.
The campers may use them to purchase burgers and hot dogs, both of which cost four tickets each.
Let x be the number of hot dogs and y be the number of burgers. In all, campers are allowed to utilise up to 21 tickets.
Thus, inequality in its most basic form explains this circumstance.
= 5x + 4y ≤ 21
Inequality in its most basic form explains this circumstance is 5x + 4y ≤ 21
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What is the shape with 3 sides and 3 right angles?
Answers
There is no shape with exact 3 sides and 3 right angles.
The shape with three sides is a triangle. A triangle is a polygon with three edges and three vertices. It is a basic shape in geometry and can be classified into several types based on the length of its sides and the measure of its angles. Triangles can be classified as acute, right, or obtuse, depending on the measure of their angles.
A right triangle is a triangle with one right angle (90 degrees ). But there can not be a triangle with 2 or more right angle.
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Select the correct answer.
Which statement describes the effect of taxes on a traditional IRA retirement account?
Ο Α.
A traditional IRA Is tax exempt because the income earned is never taxed.
OB. A traditional IRA is tax deferred because the income earned isn't taxed until the money is withdrawn.
OC. A traditional IRA is tax exempt because the income earned Isn't taxed until the money is withdrawn.
OD
A traditional IRA is a taxable account because the income earned Is taxed when it is contributed.
Answers
Answer:
C.
A traditional 401(k) is tax deferred because the income earned isn't taxed until the money is withdrawn.
Explanation:
There are two types of 401 k plans: traditional 401k and Roth 401k plans. The difference is the way there are taxed.
The traditional 401k plan is an employer-sponsored retirement scheme. The employer withholds the employee contributions and remits the funds to the employee's 401k savings account. The amount deducted as the employee contribution is not subject to taxation at that point. Contributions to 401k plans reduce the employee's taxable income.
The amounts saved in a 401k plan are invested and generate income. Employees are not expected to pay taxes on the income generated every financial period. All taxes are deferred until the time of withdrawal.
What is the value of (3/10)3
Answers
Answer:
[tex]\frac{9}{10}[/tex]
Step-by-step explanation:
In this question, one is asked to multiply a fraction by a whole number, first model the question.
[tex]\frac{3}{10}(3)[/tex]
In a situation like this, one multiplies the whole number by the numerator (number) over the fraction.
[tex]\frac{3*3}{10}[/tex]
Simplify,
[tex]\frac{9}{10}[/tex]
A common error that people make is that they will multiply both the numerator and denominator by the whole number, this is the same as multiplying the answer by (1), thus it is incorrect.
Answer:
9/10
Step-by-step explanation:
took test
what are the coordinates of the center of the center and the length of the radius of the circle whose equation is x^2 y^2
Answers
The coordinates of the center of the circle and the radius length of the specified circle are (-3,2) and 6 units, respectively.
What is circle?A circle is a shape formed by all points in a plane that are at a particular distance from the center. It is the curve sketched out by a point moving in a plane so that its distance from a particular point remains constant. A circle is a closed two-dimensional object in which the set of all the points in the plane is equidistant from a particular point called "centre". The line of reflection symmetry is formed by every line that travels through the circle. It also features rotational symmetry around the center for all angles.
Here,
x²+6x+9-9+y²-4y+4-4=23
(x+3)²-9+(y-2)²-4=23
(x+3)²+(y-2)²=36
(x+3)²+(y-2)²=6²
center=(-3,2)
radius=6
The coordinates of the center of the center and the length of the radius of the given circle is (-3,2) and 6 units.
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Jaimie ran 3 1/2 on Monday. She ran half
as far on Tuesday as she did on Monday. How
far did Jaimie run in all on Monday and
Tuesday?
Answers
Answer: So Jamie ran 3 1/2 miles on Monday and half that distance on Tuesday. We need to know how far she ran "in all" which are key words for "addition".
We need to add 3 1/2 + (1/2)(3 1/2)
It's probably easiest to do this by converting to an improper fraction.
So let's convert:
3 1/2 is the same as 7/2. now we can rewrite the problem:
7/2 + (1/2)(7/2)
= 7/2 + 7/4 . Now we need a common denominator:
7/2 = 14/4
Now we have 14/4 + 7/4 = 21/4. Now we should convert to a mixed number.
21/4 = 5 1/4
So Jamie ran 5 1/4 miles in all.
Step-by-step explanation:
Answer:
5.25 or 5 1/4 (Whichever you prefer)
Step-by-step explanation:
To make it simpler, we will convert 3 1/2 to decimal format.
First, take 3 and multiply it by the denominator 2 of 1/2, then add that number to the numerator of 1/2
3 x 2=6 -> 6+1=7
now add the denominator 2 under 7 and we now have 7/2, the equivalent to the mixed number 3 1/2
Afterward, to get the decimal, divide the numerator by the denominator:
7 divided by 2= 3.5
Now halve 3.5 to get the number Jaimie ran on Tuesday -> 1.75
Then add both 3.5 (3 1/2) and 1.75 (1 3/4), to get 5.25 or 5 1/4, which is your answer.
I need help with #10
Answers
Answer:
D.
Step-by-step explanation:
this seems to be the line of best fit as it is centered in the data.
hope this helps!!
The first sequence rule is multiply by 3 starting from 4. The second sequence rule is add 8 starting from 20. What is the first number that appears in both sequences?
12
20
28
36
Answers
Answer:
36
Step-by-step explanation:
I thought I just answered that one.
the first sequence had only numbers that can be divided by 3.
so, what is the first number of the second sequence that can also be divided by 3 ?
36 - it fits both.
*****50 POINTSSSS*****
In the figure, quadrilateral GERA is inscribed in circle P. Line TA is tangent to circle P at A, m∠REG = 78°, the measure of arc AR = 46°, and segment ER ≅ segment GA. Find each of the following measures.
m∠GAR =
m∠TAR =
measure of arc GE =
measure of arc AG =
m∠GAN =
measure of arc RE =
Answers
Answer:
Givenm∠REG = 78°mAR = 46°ER ≅ GASolutionm∠GAR = 180° - m∠REG = 180° - 78° = 102° (supplementary angles sum to 180°)m∠TAR = 1/2mAR = 1/2(46°) = 23° (tangent chord angle is half the size of intercepted arc)m∠GAN = 180° - (m∠TAR + m∠GAR) = 180° - (23° + 102°) = 55° (straight angle is 180°)mAG = 2m∠GAN = 2(55°) = 110°mRE = mAG = 110° (as ER ≅ GA)mGE = 360° - (mAG + mAR + mRE) = 360° - (110° + 46° + 110°) = 94° (full circle is 360°)A blood bank needs 15 people to help with a blood drive. 20 people have volunteered. Find how many different groups of 15 can be formed from the 20 volunteers.
Answers
Answer:
15,504 different groups
Step-by-step explanation:
Answer: if they only have 20 patients then there can only be 1 group of 15 people! hope this helps
Step-by-step explanation:
If P(7,5) and P'(2,8), then the rule for translation is T(x,y)=(x-?, y+?).
Answers
Answer:
Step-by-step explanation:
Answer: x is -5 and y is +3
Step-by-step explanation:
yes
Please sum 1 help mee
Answers
Answer:
Step-by-step explanation:
the green cylinder is 20[tex]\pi[/tex]
while the purple cone is 18[tex]\pi[/tex]
which do you think is more ? :)
Answer:
the cylinder
Step-by-step explanation:
it is easier to use a calculator to calculate these.
the cone is 56.55 and the cylinder is 62.83
What is the name of a 3 4 5 triangle?
Answers
The right angle triangle is the name of the 3, 4, and 5 triangles.
A right-angled triangle is a triangle with one of the angles at 90 degrees. A 90-degree angle is called a right angle.
The formula states that in a right triangle:
The square of the hypotenuse is equal to the sum of the square of the base and the square of the altitude.
(Hypotenuse)² = (Base)² + (Altitude)²
c²=a²+b²
The three numbers which satisfy the above formula are the Pythagorean triplets
Properties of right angle:
The largest angle is always 90º and called the hypotenuse which is always the side opposite to the right angle.
The measurements of the sides follow the Pythagoras rule, which cannot have any obtuse angle.
consider c=5 a=3, b=4 substitute in above formula:
5²=3²+4²
⇒25=9+16
⇒25=25
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Question is in the photo below
Answers
Answer:
A
Step-by-step explanation:
mark me brainliest pls
Answer:
A. 24
Step-by-step explanation:
The angle formed by two secants intersecting outside of a circle is equal to half of the difference of the intercepted arcs.
In other words, ∠1 is 104 minus 56, divided by 2.
[tex]\frac{104-56}{2} =\frac{48}{2}= 24[/tex]
A coordinate plane. The x- and y-axes each scale by one. A graph of a line intersects the points negative one, zero and zero, one. A coordinate plane. The x- and y-axes each scale by one. A graph of a line intersects the points negative one, zero and zero, one. What is the slope of the line?
Answers
The slope of the line on the given coordinate plane is equal to 1.
How to calculate the slope of a line?In Mathematics, the slope of a straight line can be calculated by using this this mathematical expression;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
From the information provided in the graph, we have the following data points on the line:
Points on x-axis = (-1, 0).
Points on y-axis = (0, 1).
Substituting the given points into the slope formula, we have the following;
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Slope, m = (1 - 0)/(0 - (-1))
Slope, m = 1/(0 + 1)
Slope, m = 1/1
Slope, m = 1
In conclusion, we can logically deduce that the slope of this line is equal to 1.
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can someone please give me the answer to #1
Answers
Answer:
x: -8, 0, 8, 16, 24
y: -8, -5, -2, 1, 4
Step-by-step explanation:
For the X values, it is going up by 8.
For the Y values, plug in the X value into the equation.
The net best represents which of the solids?
Answers
Answer:
Where is the picture for the question?
A painting, square in shape, is placed in a wooden frame with width of 10% of the length of the side of the paining. The painting was enlarged by 10%. By what percent is the new frame bigger than the original frame if the width of the frame remains the same?
PLEASE HELP
Answers
The percent that the new frame is bigger than the original frame if the width of the frame remains the same is 9.1%.
How to illustrate the percentage?From the information, the painting, square in shape, is placed in a wooden frame with width of 10% of the length of the side of the paining. The painting was enlarged by 10%.
Let the length be Illustrated as 10cm.
Width = 10% × 10cm
= 1cm
New Length = 10cm + (10% × 10cm)
= 11cm
The old perimeter will be:
= 2(1 + 10)
= 22cm
New perimeter will be:
= 2(1 + 11)
= 24cm
The percentage increase will be:
= (24 - 22) / 22 × 100
= 2/22 × 100
= 9.1%
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