The coordinate of the point C is (0, a)
How to determine the coordinates of point CFrom the question, we have the following parameters that can be used in our computation:
A = (0, a)
B = (b, 0)
As a general rule, the orthocenter of a triangle is a point located at the intersection of the lines containing the altitudes of the triangle.
This means that we start by calculating the equation of the altitude from B to line AC.
A linear equation is represented as
y = mx + c
Where
slope = m
y-intercept = c
Using the above as a guide, we have the following:
slope = (y₂ - y₁)/(x₂ - x₁)
This gives
m(BC) = (0 - 0)/(b - 0) = 0
y-intercept (c) = a
So the equation of the line BC is
y = 0 * x + a
y = a
For line AC, we have
m(AC) = (a - 0)/(0 - 0) = a/0 = undefined.
This means that the equation of the line AC is
x = 0
The equation x = 0 implies that the x-coordinate is always 0, irrespective of the y-coordinate e.g. (0, a)
At this stage, we have the coordinates of the points from lines AC and BC to be
(0, a) and (0, a)
Next, we calculate the C as follows
C = Midpoints of (0, a) and (0, a)
This gives
C = 1/2 * (0 + 0, a + a)
Evaluate
C = (0, a)
Hence, the coordinate of C is (0, a)
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For Exercises 13-17, given A(6,-4), B(3, 8), and
C(-7, 9), determine the coordinates of the vertices
of AA'B'C' for each glide reflection. Suppose p is
the line with equation x = -3,q is the line with
equation y = 9, and r is the line with equation
y=-2. SEE EXAMPLE 3
Answer
A(-10, 9), A'(-4, 9)
B(-4, 2), B'(-10, 2)
C(-7, 9), C'(-7, -4)
Example 3:
A(-3, 5), A'(3, 5)
B(-3, 0), B'(3, 0)
C(-3, 5), C'(-3, -10)
.
For the following data set, find Q1, Q2, Q3 and the interquartile range.
15, 12, 23, 15, 7, 8, 21, 10, 12, 14, 16, 24, 19
1.
Interquartile Range
2.
Q3
3.
Q2
4.
Q1
a.
15
b.
9
c.
20
d.
11
Answer:
To find Q1, Q2, Q3, and the interquartile range (IQR) of a data set, we need to first arrange the data in numerical order. For the given data set, the ordered data is:
7, 8, 10, 12, 12, 14, 15, 15, 16, 19, 21, 23, 24
To find Q1, we need to find the median (Q2) of the lower half of the data. The lower half of the data is:
7, 8, 10, 12, 12, 14
There are 6 values in the lower half of the data, so the median (Q2) is the average of the 3rd and 4th values, which is (10 + 12) / 2 = 11. Therefore, Q1 = 11.
To find Q3, we need to find the median (Q2) of the upper half of the data. The upper half of the data is:
15, 15, 16, 19, 21, 23, 24
There are 7 values in the upper half of the data, so the median (Q2) is the fourth value, which is 19. Therefore, Q3 = 19.
To find the IQR, we need to subtract Q1 from Q3. The IQR is equal to Q3 - Q1 = 19 - 11 = 8.
The correct answers are:
1. Interquartile Range = 8
2. Q3 = 19
3. Q2 = 11
4. Q1 = 8
Therefore, the correct answer choices are:
a. 15 (incorrect)
b. 9 (incorrect)
c. 20 (incorrect)
d. 11 (correct)
WILL GIVE BRAINLIEST!! 100 POINTS!
NO OUTSIDE WEBSITE LINKS, AND ANSWER WITH DIAGRAM AND EXPLANATION/PROOF
a line and a line segment are given. Construct a line parallel to the given line on a distance equal to the given segment.
I WILL report if your answers are inappropriate or contain external links :)
Need photo of the segment.
Please help me with this information please
Answer: try 5 it is most likly right
Step-by-step explanation:
N/A
Find the surface area of the prism 12in 4 in 3in 5in 5in 6in
Answer:
Area of trapezoid:
12 + 6<-- your two bases of the trapezoid = 18
18 x 4 = 72, 72 divided by 2 = 36
now we multiply by 2 since there are 2 trapezoids:
36 x 2 = 72
Area of rectangle in front:
6 x 3 = 18
Area of the 2 rectangles on the sides:
5 x 3 = 15
(multiply by 2 since there are two rectangles on both sides)
15 x 2 = 30
Area of rectangle on the back:
12 x 3 = 36
Now lets add up all the areas:
72 + 18 + 30 + 36 = 156 in2 is your answer.
PLEASE HELP GEOMETRY ASAP 50 POINTS! REAL ANSWERS ONLY OR WILL BE REPORTED AND DELETED! PLEASE SHOW STEPS!
9514 1404 393
Answer:
x = 80y = 80Step-by-step explanation:
The external angle at A is half the difference of the arcs it intercepts. The inscribed angle y is half the measure of arc CD. The sum of the arcs of a circle is 360°. These relations let us write some equations.
(BC -x°)/2 = ∠A
BC + CD + x° = 360°
y° = CD/2
__
Given that BC = 120° and ∠A = 20°, we can use the first equation to find x.
(120 -x)/2 = 20
120 -x = 40 . . . . . multiply by 2
120 -40 = x = 80 . . . . add x-40
Using known values in the second equation gives ...
120 +CD +80 = 360
CD = 160 . . . . . . . subtract 200
Then y is found from the third equation.
160/2 = y = 80
Solve: 2x - 5 = 4x + 3
Important: No spaces in your answer
(any spaces within the answer can get the whole answer wrong)
List the data in the following stem-and-leaf plot. The leaf represents the tenths digit.
Separate the numbers in the list by a comma. The list is:
151,154,154,157,165,166,178,183,186,186
The data represented by the steam-leaf plot is 115, 138, 145, 145, 156, 166, 168, 168, 175, and 187.
What is a stem leaf plot?A stem and leaf plot, also known as a stem and leaf diagram, is a way to arrange data so that it is simple to see how frequently various sorts of values occur. It is a graph that displays ordered numerical data. A stem and a leaf are divided into each piece of data.
A stem and leaf plot is shown as a customized table with the first or final digit of each data value divided into a stem and the remaining digit in a leaf.
9 I 0 ⇒ 9 on the stem and 0 on the leaf read as 90.
Given, A stem leaf plot and the leaf represents the tens digit.
As the leaf represents tens digits the data set can be represented by,
115, 145, 145, 175, 156, 166, 187, 138, 168, 168.
Representing the data set in ascending order we have,
115, 138, 145, 145, 156, 166, 168, 168, 175, 187.
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Find a formula for the nth term
of the arithmetic sequence.
First term -12
Common difference 4
an = 4n + [? ]
I just need the second part please help!
Answer:
4n - 16.
Step-by-step explanation:
nth term = a1 + d(n-1)
= -12 + 4(n - 1)
= -12 + 4x + 4*-1
= -12 + 4x - 4
= 4n - 16,
PLEASE HELP I WILL GIVE BRIANLI EST
The number of students at the open house is B. 468.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
We know if a and b are two quantities in a total quantity (ax + bx) the amount of a single quantity can be obtained by [a/(a+b)]× (ax + bx).
Given, The ratio of students to adults at the open house is 9 : 7 and the total number of students and adults at that place is 832.
Therefore,
The number of students is,
= (9/9+7)×832.
= (9/16)×832.
= 9×52.
= 468.
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Square root of 54 in simplified form
Answer:
3√6
Step-by-step explanation:
[tex]\sqrt{54} =\sqrt{9*6}=\sqrt{9} *\sqrt{6}=3*\sqrt{6} =3\sqrt{6}[/tex]
Answer:
3/6 i cant use the weird symbol bc my keyboard
Step-by-step explanation:
Flying against the wind, an airplane travels 4720 kilometers in 8 hours. Flying with the wind, the same plane travels 4040 kilometers in 4 hours. What is the rate of the plane in still air and what is the rate of the wind?
The rate of the plane in still air is 800 km/h while the rate of the wind is 210 km/h
What is an equation?An equation is an expression composed of variables and numbers linked together by mathematical operations.
Let x represent the speed of the airplane in still air and y represent the speed of the wind.
Flying against the wind, an airplane travels 4720 kilometers in 8 hours. Hence:
x - y = 4720 km / 8 hr
x - y = 590 (1)
Flying with the wind, the same plane travels 4040 kilometers in 4 hours. Hence:
x + y = 4040 km / 4 hr
x + y = 1010 (2)
From both equations:
x = 800, y = 210
The speed of the airplane is 800 km/h
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We want to estimate the percentage of political figures who will make a social media
presence by posting an average of 1,000 posts per year next year. How many accounts
must we include in the sample next year, if we want our proportion estimate to be within
20 percentage points at a 90% level of confidence?
Answer:
0.0208
Step-by-step explanation:
Using the formula for calculating margin of error is expressed as;
M = z * √p(1-p)/n
z is the z score at 90 % interval
p is the proportion
n is the sample size
p = 0.2
n = 1000
z = 1.645
M = 1.645 * √0.2(1-0.2)/1000
M = 1.645 * √0.2(0.8)/1000
M = 1.645 * 0.01264
M = 0.0208
Hence the margin of error is 0.0208
4-(3-5)=
please help
Answer:
6 is the correct answer
Step-by-step explanation:
If you distribute you will get 4-3+5
Which is equal to 6
PLEASE HELP ASAP DUE TODAY NOW!!!!!!!!!!!
Answer:
0.910
Step-by-step explanation:
since it'snot perfect it can't be one and since it a positive slope it is 0.9102.
Joe decided to track the temperature in his town for five consecutive days. On Monday, the temperature was 23°C. On Tuesday, it decreased by 9°C and then increased by 7°C on Wednesday. On Thursday, the temperature rose 4°C and then decreased by 5°C on Friday. What was the overall temperature change over those five days?
Using a subtraction operation, the overall temperature change over those five days that Joe tracked the temperature in his town was a decrease of 3°C.
How is the temperature change computed?The temperature change can be computed by determining the differences in temperature from one day to the next and summing the differences.
The temperature change can also be computed by finding the difference between the ending period's temperature and the beginning period's temperature.
Days Temperature Change
Monday 23°C 0
Tuesday 14°C (23 - 9) -9
Wednesday 21°C (14 + 7) +7
Thursday 25°C (21 + 4) +4
Friday 20°C (25 - 5) -5
Overall change = -3°C
= 20°C - 23°C = -3°C
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Plz help I need fast.
Answer:
last one
Step-by-step explanation:
Answer:
Melanie get $1
Step-by-step explanation:
let the money that Melanie gets be x
4.1:20.5=x:$5.00
4.1/20.5=x/$5.00
20.5x=4.1*$5.00
x=$20.5/20.5
x=1
therefore,Melanie will get $1
What is the major theme and minor theme in “Arachne and the weaving contest”
The central theme of Arachne is human limitation and hubris.The center of the ellipse is located midway between the foci .
What is major axis ?The center of the ellipse is located midway between the foci. The minor axis is the line segment going through the center and perpendicular to the major axis, with both endpoints on the ellipse. The length of the ellipse's major axis is equal to the bigger of 2a or 2b, while the length of its minor axis is equal to the smaller. The major axis, which is the largest distance between any two points on the ellipse, is the line that connects both foci and runs from one end to the other. The minor axis, which is the shortest path between two points on the ellipse, is the line that passes through the center of the major axis in a perpendicular direction.
given
The central theme of Arachne is human limitation and hubris. Arachne, a young girl who is a remarkably gifted weaver, thrives on the adulation of her customers.
As a result of her youth and inexperience as well as her awareness of her exceptional talents, Arachne eventually boasts that her weaving is even greater than Athena's.
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there are no good answers on brainily can someone pls answer this
Answer:
D
Step-by-step explanation:
first simplify everything
2/9v + 1/3v - 5/9
A and B is wrong because it is - 5/9 not + 5/9
C is wrong because it is -1/3v not 1/3, it is supposed to be - 5/9
You can solve this problem without much solving
hope this helps :)
What is the surface area of the retagular prism based on the net
A . 34cm
B . 70 cm2
C . 310 cm2
D . 350 cm3
Answer:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say I love uStep-by-step explanation:
The length of the shorter leg of a 30-60-90 Special Right Triangle is 6 cm long. How
long is the hypotenuse of the triangle?
Pls help
the answer is 12
I just took the test and the hypotenuse is always 2 times the smaller leg
Given: 15x < -45
Choose the solution set
a) {x l x<-3}
b) {x l x>-3}
c) {x l x< 3}
d) {x l x> 3}
The mathematics faculty at a college consists of 11 professors, 12 associate professors, 7 assistant professors, and 6 instructorsIf faculty member is selected , find the probability of choosing a professor or an instructor
Answer:
The probability of choosing a professor or an instructor is 47.22%.
Step-by-step explanation:
Given that the mathematics faculty at a college consists of 11 professors, 12 associate professors, 7 assistant professors, and 6 instructors, if a faculty member is selected, to find the probability of choosing a professor or an instructor the following calculation must be performed:
11 + 12 + 7 + 6 = 100
11 + 6 = X
36 = 100
17 = X
17 x 100/36 = X
1700/36 = X
47.22 = X
The probability of choosing a professor or an instructor is 47.22%.
350 is what percent of 400?
Answer:
87.5%
Step-by-step explanation:
350 ÷ 400 = 0.875 = 87.5%
Answer:
350 is 87.5% or 7/8 of 400.
(Hope this helps! Btw, I answered first. Brainliest please!! :D)
Is this a polynomial? 3x^-2-5
On solving the provided question, we can say that - the value of the following polynomial will be 3x^2 = 5 => x^2 = 5/3
what are polynomials?A polynomial is a mathematical statement made up of coefficients and uncertainty that exclusively uses additions, subtractions, multiplications, and positive integer powers of variables. A single indeterminate x polynomial is represented by the expression x2 4x + 7. A polynomial is an expression in mathematics that consists of variables (sometimes referred to as indeterminates) and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. A polynomial is an algebraic expression made up of coefficients and variables. The only operations that an expression can contain are addition, subtraction, multiplication, and non-negative integer exponents. These expressions are known as polynomials.
here,
[tex]3x^{-2}-5[/tex]
3x^2 = 5
x^2 = 5/3
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1 Look at the coordinate plane shown.
Fill in the blanks to complete the sentences.
To locate a point on the coordinate grid, start at the
Then move
along the
and then move
along the
--axis,
L-axis.
The ordered pair for point A is (
The ordered pair for point B is (
PLS HELP. NO LINKS The area of the parallelogram is 28 square centimeters.
7 cm
4 cm
b
What is the parallelogram's base, b?
centimeters
Submit
You have 54 pictures to put in a photograph album.
Each page of the album holds 4 pictures.
How many pages can you fill?
1 page of an album with 4 photos on the page.
13 pages
14 pages
12 pages
15 pages
A monomial with a degree of 3
The polynomial 4 · x³ is a monomial of degree 3.
What is a monomial?
In algebra there are two types of numbers: constants and variables. Constants are constant real numbers, while variables are real numbers that may represent more than a real number.
Polynomials are the result of combination of constants, variables and fundamental operators (addition, multiplication) and can be classified according to the number of terms:
Monomial - Polynomial with one term.
Binomial - Polynomial with two terms.
Trinomial - Polynomial with three terms.
Polynomial - Polynomial with four or more terms.
The grade of the polynomial is the maximum power that accompany a term in a polynomial in standard form. Then, we can bring an example of polynomial with a degree 3 below:
p(x) = 4 · x³
This is a monomial (polynomial with one term) with degree 3.
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HELP ME PLEASE
I RLLY NEED IT
Answer:
2. (8, 5) and (2,9)
3. I don’t know how to show this to you.