Answer:
[tex](x+5)^2+(y-6)^2=41[/tex]
Step-by-step explanation:
Hi there!
Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex] where the circle is centered at [tex](h,k)[/tex] and r is the radius
1) Plug in the center (-5,6)
[tex](x-(-5))^2+(y-6)^2=r^2\\(x+5)^2+(y-6)^2=r^2[/tex]
2) Plug in the given point (-1,1) and solve for r²
[tex](-1+5)^2+(1-6)^2=r^2\\(4)^2+(-5)^2=r^2\\16+25=r^2\\41=r^2[/tex]
Therefore, r² is 41. Plug this back into [tex](x+5)^2+(y-6)^2=r^2[/tex]:
[tex](x+5)^2+(y-6)^2=41[/tex]
I hope this helps!
Chose the best 3 options
The beat three options are: The slope of the line is 1/5, (2) The possible equation if the line is y=1/5x, (3) The slope and the y intercept are the same
What is slope of a line?Lope is the rate of change of y with respect to x. slope is also the increase in y over increase in x vice versa
Slope is denoted by rise/run
The Possible solutions from the graph are:
The slope and y-intercept are the sameThe possible equation of the line is y=1/5xThe slope of the line is 1/5Taking any two points on the graph : (4, 1) and -4, -1,)
We can find the slope as (1--1)/4--4
Therefore, the Slope = 2/3≡1/5
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The function y=0.18x+0.15 represents the percent y (in decimal form) of battery power remaining x hours after you plug in a laptop computer. Identify and interpret the slope. \
Step-by-step explanation:
Given
Function is [tex]y=0.18x+0.15[/tex]
where,
[tex]y=\text{Percent of the battery remaining}\\x=\text{time in hours}[/tex]
Comparing the given function with the standard slope-intercept form of the equation [tex]y=mx+c[/tex]
Here, before plugging into the laptop, the percentage of battery is
[tex]y=0.18\times 0+0.15\\y=0.15\ \text{or}\ 15\%[/tex]
The slope of the given function is [tex]0.18[/tex] i.e. in one hour it charges 18% of battery.
Sunshine Raisin Company sells snack-sized boxes of raisins. Twenty boxes were randomly selected and the raisins we counted. The results are shown in the list below. What frequency table BEST represents the Sunshine Raisin data? Sunshine Raisins
Answer:
a
Step-by-step explanation:
mrk me brainliest
Answer:
the correct answer is A
Step by step explanation
Triangle STU is a right triangle.
Write an equation that relates the lengths of sides s, t, and u? (5 points)
What is the quotient of -12 divided (1/6)
A pyramid has a base area of 44cm and a height of 12. 6 cm what is the volume of the pyramid ?
Pyramids have been a symbol of great architecture inventions of the mankind. Egyptian People were the first once to design pyramids on a very large level.
Let a be the Side of Area of base of Pyramid . The base of a pyramid is a square shaped quadrilateral
The Volume of the Pyramid with base area and height is given by the equation (1)
[tex]Volume = (1/3)Ah....(1)[/tex]
[tex]A = a^{2}[/tex]
[tex]a = Side[/tex]
A = [tex]a^{2}[/tex] = [tex]44cm^{2}[/tex]
[tex]h = 12.6[/tex]
Putting these values in equation (1) we get
[tex]Volume = (1/3)X44X12.6[/tex]
[tex]Volume[/tex] [tex]= 184.8cm^{3}[/tex]
Hence , the volume of the pyramid is 184.8cm³
Work out the area of this shape. Give your answer
in cm².
3 cm
4 cm
10 cm
The area of the given shape is 46 cm²
Formulas used:
Area of the triangle = (1/2) × Base × Height
Area of rectangle = Base × Width
Here we have
The composite figure with a right-angled triangle and a rectangle
In a right-angled triangle,
The base of the triangle = 3 cm
Height of the triangle = 4 cm
Area of the triangle
= (1/2) × base × height
= (1/2) × 3 × 4
= (1) × 3 cm × 2 cm
= 6 cm²
In rectangle,
Length of the rectangle = 10 cm
Width of the rectangle = 4 cm
Area of the rectangle
= Length × Width
= 10 cm × 4 cm
= 40 cm²
By the above calculations,
Area of the given figure = Area of triangle + Area of rectangle
= 6 cm² + 40 cm² = 46 cm²
Therefore,
The area of the given shape is 46 cm²
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2. If Sarah makes $11 per hour at her part time job and she works 20 hours in a week. How much is her weekly grass
pay?
A. $440
B. $110
C. $220
D. $200
Answer:
C. $220
Step-by-step explanation:
11 x 20 = 220
Jim's marble collection contains 20 marbles, including 4 pink marbles. What is the probability that a randomly selected marble will be a pink marble? Write your answer as a fraction or whole number.
Answer: 20%
Step-by-step explanation:
The probability that a randomly selected marble will be pink can be found by the formula:
= Number of pink marbles / Number of total marbles
= 4 / 20
= 20%
There is a 20% chance that if you pick a marble, it will be pink.
Please help with this question
Answer: The answer is 25 then if it asks for the equation it is A=1/2bh
Step-by-step explanation:
The b or base is 10
The height or h is 5
A=1/2bh
A=1/2(10)(5)
A=1/2(50)
A=25
I hope this helps :)
Answer:
25m^2
Step-by-step explanation:
the formula for finding the area of a triangle is b*h/2. So 10 times 5 equals 50. When you divide 50 by 2 you get 25. 25m^2 Is the answer.
Solve for x.
-10 <-2x +4≤8
Enter your answer, as one inequality, in the box.
The solution of the inequality is x < 7 and x >= -2.
What is linear inequality?
An inequality is a mathematical statement comparing two values or expressions, usually involving one of the following relational operators: < (less than), > (greater than), <= (less than or equal to), >= (greater than or equal to), or != (not equal to). The solution to inequality is a set of values that make the inequality true.
To solve the inequality -10 < -2x + 4 ≤ 8, we have to solve the inequality twice because of the less than or equal to symbol and greater than or equal to symbol.
First we have to solve -10 < -2x + 4
-2x + 4 > -10
-2x > -14
x < 7
Second, we have to solve -2x + 4 <= 8
-2x + 4 <= 8
-2x <= 4
x >= -2
Hence, the solution of the inequality is x < 7 and x >= -2. This solution is represented by all the values of x that are less than 7 and greater than or equal to -2.
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help me find the right angles URGENT !!
Answer:
q is around 85-89 and S is 91-95
Step-by-step explanation:
sorry i dont have a protractor on me this is the best i can do
Fernando is tossing bean bags at a target. He hit the target on 6 out of his last 15 tries. What is the experimental probability that Fernando's next toss will be a hit? Write your answer as a fraction or whole number.
Answer:
6/15
Step-by-step explanation:
sINCE fERANDO hit 6 times and he had 15 tries it is 6/15
HELP PLEASE 100 points for EXPLENTATION and ANSWER!!!!
see screenshot
Answer:
The screenshot is not included!!
How do you find the zero’s algebraically?
To find the zeros of a polynomial algebraically, you can use the following steps:
Write the polynomial in standard form, with the terms arranged in descending order of the degree of the term. For example, if the polynomial is 3x^2 - 2x + 5, it is already in standard form.
Set the polynomial equal to zero. For example, if the polynomial is 3x^2 - 2x + 5, you would set the equation equal to zero like this:
3x^2 - 2x + 5 = 0
Use the quadratic formula to find the solutions (i.e., the zeros) of the equation if the polynomial is a quadratic (degree 2). The quadratic formula is:
x = (-b +/- sqrt(b^2 - 4ac)) / (2a)
where a, b, and c are the coefficients of the polynomial, and sqrt represents the square root.
For example, if the polynomial is 3x^2 - 2x + 5, the solutions would be:
x = (-(-2) +/- sqrt((-2)^2 - 4 * 3 * 5)) / (2 * 3)
x = (2 +/- sqrt(4 - 60)) / 6
x = (2 +/- sqrt(-56)) / 6
Since the square root of a negative number is not a real number, there are no real solutions (zeros) for this polynomial.
Use the Rational Root Theorem to find the solutions of the equation if the polynomial is not a quadratic. The Rational Root Theorem states that if a polynomial of degree n has a rational root p/q (where p and q are integers and q is not equal to zero), then p must be a divisor of the constant term and q must be a divisor of the coefficient of the term of highest degree.
For example, if the polynomial is x^3 - 2x^2 + x - 6, the constant term is -6 and the coefficient of the term of highest degree is 1. The divisors of -6 are -6, -3, -2, -1, 1, 2, 3, and 6. The divisors of 1 are 1 and -1. Therefore, the possible rational roots of this polynomial are -6, -3, -2, -1, 1, 2, 3, and 6.
To find the actual roots, you can try each of these numbers as a root and see if it works. For example, if you try -6 as a root, you would get:
(-6)^3 - 2(-6)^2 + (-6) - 6 = 0
(-216) - (-72) + (-6) - 6 = 0
-144 - 6 - 6 = 0
-156 = 0
This equation is not true, so -6 is not a root of the polynomial. You can repeat this process for each of the other possible rational roots until you find all of the roots of the polynomial.
NOW IT HAS TO EQUAL TO 100 WHERE DO YOU PUT THE PARENTHESES!!!! HELP QUICK PLS
4+2•3^2
IT HAS TO EQUAL 100
Answer: (4+2)•(3^2?
Step-by-step explanation: I hope that helps I don't know how to explain but ya. But that's where u put the parentheses.
Answer:
(4+2×3)^(2)
Step-by-step explanation:
First, because parenthesis are being used, we will start by multiplying 2 by 3, giving us 6
(4+6)^(2)
Then, we add 6 to 4
(10)^2
and we then raise 10 to the 2nd power
100
А
4 yards
B
С
15 yards
Find the area of AABC.
[?] yd ]
Enter
answer:
30 yd^2
step-by-step explanation:
in order to find the area of a triangle, we can use: A = 1/2 · b · hA = areab = baseh = heightplug in,
A = 1/2(b)(h)
A = 1/2(15)(4)
A = 1/2(60)
A = 30 yd^2
[tex] \frac{1}{5} + \frac{3}{4} [/tex]
Answer:
19/20
Step-by-step explanation:
the answer is 19/20 <3
Step-by-step explanation:
<3
<3
<3
<3
hope you have a good day ^^<3
Eydin has two strips if stickers,A and B, of the same length.The length of each sticker is 1.2 cm. The stickers in each strip form a repeated patteren as shown below
There are 56 heart stickers all together in both strips of stickers.What is the length of each strip of stickers?
Answer:
Each strip is 117.6 cm
Step-by-step explanation:
I created a proportion of hearts to others. On strip A there is 1 heart to 2 others and B there is 1 heart to 3 others. I added them and got a proportion of 2 hearts to 5 others for both. With a total of 56 hearts, I set up a proportion to determine the total stickers
2/5=56/x
When I cross multiply, I get 2x=280 and x=140
so for the 56 total hearts, I have 140 others. I added those to get the total stickers and got 196. I multiplied that by 1.2cm and got 235.2 cm for both. Since both are the same size, just divide that by 2 and get 117.6 cm each.
PLEASE ASAP ILL GIVE BRAINLIEST.
Answer:
12 km/h
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
we don’t know if it would change any other way so i would say D, because 1.5 hours, that’s just divide 18 by 3 (6) to get the half hour. then you figure out that 12 km/h (north?) since the half brings it to 18. sorry if that’s confusing i’m bad with explaining
Identify the two x values?
When the points are (4, 2) and (6, 5), the slope is 3/2. The slope of a line determines its direction and degree of steepness.
what is slope ?A line's steepness and direction are determined by the slope of the line. The change in a line's y coordinate relative to its change in x coordinate is referred to as the line's slope. While there has been no net change in the x coordinate, there has been no net change in the y coordinate. hence, the shift in the y coordinate in relation to the shift in the x coordinate. The slope of a line is the rise to run ratio, or the rise divided by the run. It gives information about a line's slope in the coordinate plane. Any two clearly separated points on a line can be used to calculate the slope of any line.
given
slope = [tex]m = \frac{y2 - y1}{x2 - x1}[/tex]
points are ( 4, 2 ) and ( 6, 5)
[tex]\frac{5 - 2}{6 - 4} \\= \frac{3}{2}[/tex]
hence the slope is 3 / 2 .
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The quotient of 18 and the number is three what is the number
Answer:
Step-by-step explanation:
Divide: 18 ÷3=?
The answer is 6
Find a word problem 4=3/4x+0
Answer:
x=16/3
Step-by-step explanation:
4=3/4x+0
4=3x/4
4=3x/2square
4times4=16
3x/3=16/3
x=16/3
The sample points of a sample space are a equally likely events. b equally unlikely events. c simple events. d complex events.
The correct option is option A , the sample points of a sample space are equally likely events.
In probability when two the occurrence of two events are having a 50 - 50 possibility then those two events are said to be equally likely events. Example , on tossing a coin the probability of getting a H or a tail is 1/2 . Therefore, these events are said to be equally likely events.
Probability is a field of mathematics which tells us about the possibility of occurrence of an event. P = number of favorable outcomes / total number of outcomes , is the formula to calculate probability.
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Solve the simultaneous equations
5x−y=8
7x+4y=22
Answer:
5x-8 m=5
m= -7/4
Step-by-step explanation:
need help asap! will give brainliest!
Answer:
10.5
Step-by-step explanation:
20 points help asap!!!
Find B n C Given
B
Answer:
Step-by-step explanation:
Sets B and C have nothing in common and therefore B ∩ C = empty set
Write a formula for arc length S in terms of r for the following figure.
1.2
S
The angle in the figure is a central angle in radians.
SE
Answer:
1.2r
Step-by-step explanation:
The arc length in terms of r will be equal to 1.2r.
What is the arc length of the circle?The distance between two places along a segment of a curve is known as the arc length. Curve rectification is the process of measuring the length of an irregular arc section by simulating it with connected line segments.
It is given that the angle in radians is 1.2 and the radius is r then the arc length will be calculated as below:-
The arc length = Angle x radius
The arc length = 1.2 x r
The arc length = 1.2r
Therefore, the arc length in terms of r will be equal to 1.2r.
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This is just for fun...
Explain why every number to the digit 0 is 1 by using an algebraic formula (of sorts).
For example like (a and b or x and y for the substitutes of this and that to the power of 0)
Answer:
y is for genius factor
a is for angles
b are absoulutely for divides and multiply from the sides of heptagon
X are like EQUAL to 7 tables for example D% 72*(09 1/2 its just like this!!
and Deciamals are apart like 22 . 27 its just like that!!
Step-by-step explanation:
Does this help? let me know!!
Find the geometric mean of 14 and 20. Answer in simplest form
The Geometric Mean (GM) is the average value or mean that, in mathematics, represents the centre tendency of a group of numbers by calculating the product of their values.
What is geometric mean?The Geometric Mean (GM) in mathematics is the average value or mean that represents the centre tendency of the group of numbers by calculating the product of their values. Basically, n is the entire amount of data values, and we multiply the numbers collectively before taking their nth root.
The geometric mean can be calculated in two steps: To obtain their product, multiply all values collectively. Calculate the product's nth root (n is the number of values).
The geometric mean of 14 and 20 must be determined. Let's see the numbers:
a = 14 and b = 20
For two numbers, the geometric mean is calculated as follows:
[tex]$M=\sqrt{a b}$[/tex]
Filling in the values as shown in the formula above:
[tex]$M=\sqrt{14 \times 20}$$M=\sqrt{7 \times 2 \times 5 \times 4}$$M=16.73$[/tex]
Therefore, the answer is 16.73.
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The required geometric mean of 14 and 20 is 16.73.
What is geometric mean?The Geometric Mean (GM) in mathematics is the average value or mean that represents the centre tendency of the group of numbers by calculating the product of their values. Basically, n is the entire amount of data values, and we multiply the numbers collectively before taking their nth root.
The geometric mean can be calculated in two steps: To obtain their product, multiply all values collectively. Calculate the product's nth root (n is the number of values).
The geometric mean of 14 and 20 must be determined. Let's see the numbers:
a = 14 and b = 20
For two numbers, the geometric mean is calculated as follows:
G.M = [tex]\sqrt{ab}[/tex]
Filling in the values as shown in the formula above:
G.M = [tex]\sqrt{14(20)}[/tex]
G.M = [tex]\sqrt{280}[/tex]
Therefore, the answer is 16.73.
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