1. Write an equation for the circle whose graph is shown.
y
5
3
2
-5 -4 -3 -2 -1
1 2 3 4 5 x
2
3
-4
-5
O (3-1)2 + (y + 2)2 = 2
O (3-1)2 + (x + 2)2 = 4
O (2+1)2 + (y – 2)2 = 4
O (2+1)2 + (y-2)2
Answers
Answer:
325
Step-by-step explanation:
got it right on edg
The required equation of the circle that shown in the graph is,
(x + 1)² + (y - 2)² = 4 where (-1 , 2) is the center of the circle and 2 unit is the radius of the circle. Option C is correct.
A graph of the circle is shown, It is to determine the equation of the circle.
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
where h, k is the coordinate of the circle's center on the coordinate plane and r is the circle's radius.
From the graph, the center is ( -1, 2) and the radius is 2. Now put these values in the standard equation of the circle.
(x - (-1))² + (y - 2)² = 2²
(x +1 )² + (y - 2)² = 4
Thus, the required equation of the circle that shown in the graph is,
(x + 1)² + (y - 2)² = 4 where (-1 , 2) is center of the circle and 2 unit is the radius of the circle. Option C is correct.
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Related Questions
If AABC is reflected across the y-axis, what are the coordinates of A'?
Answers
Answer:
(-4, -2)
Step-by-step explanation:
A is initially (-4, 2); when we reflect over the y-axis, we will change from (x, y) to (x, -y). This gives us (-4, -2).
The coordinates of A' are (-5,-3).
What are coordinates?A coordinate system in geometry is a system that uses one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space. The order of the coordinates matters and they are sometimes identified by their position in an ordered tuple, and other times by a letter, as in "the x-coordinate." In elementary mathematics, the coordinates are assumed to be real numbers, but they can also be complex numbers or members of a more abstract system, such as a commutative ring. The use of a coordinate system allows geometry issues to be transformed into numerical problems and vice versa; this is the foundation of analytic geometry.Solution -If AABC is reflected across the y-axis, the coordinates of A' are (-5,-3).
The reflected graph is given below.
Therefore, the coordinates of A' are (-5,-3).
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Write a quadratic equation given the x intercepts and other other point. Put steps together. Find the factors. Solve for a by substituting in the extra point. Write the equation in factored form.
Answers
Answer:
This question is clearly incomplete, so i will answer it in a really general way.
Suppose that for a quadratic function, we know that the x-intercepts are a and b.
And we also know that this function passes through the point (c, d).
First a definition, for a n-degree polynomial with the x-intercepts {x₁, x₂, ...,xₙ} and a leading coefficient K, we can write this polynomial in the factorized form as:
p(x) = K*(x - x₁)*(x - x₂)*...*(x - xₙ)
Now let's do the same for our quadratic function, we can write it as:
f(x) = K*(x - a)*(x - b)
(where a and b are known numbers)
Now we also know that this function passes through the point (c, d)
This means that:
f(c) = d
then:
d = K*(c - a)*(c - b)
With this equation we can find the value of K,
K = d/( (c-a)*(c - b))
Then the quadratic function is:
[tex]f(x) = d\frac{(x-a)}{(c-a)} \frac{(x-b)}{(c-b)}[/tex]
Where again, it is supposed that you know the values of a and b, and also the point (c, d)
math question in pic above plz help !!!!!!!!:))))) plz i need it a lot :')brainlist to how even answers right first
Answers
Answer:
a
Step-by-step explanation:
a because they both have a right angle which is 90 degrees
and beacuse 90 - 42 = 48 degrees which means both triangles have a 48 degrees
Find the volume of compostie figure
Answers
Step-by-step explanation:
The first composite shape is a combination of a rectangular prism and a pyramid. To find the volume of the entire shape you find the volume of each individual shape and add them together. The second figure consists of a cylinder and a hemisphere.
Hope that helps :)
Divide the larger square into 10 equal columns or rectangles. Shade one rectangle. What part of the whole is the shaded rectangle? Write that part as a decimal and a fraction.
Answers
Answer:
[tex]Part=\frac{1}{10}[/tex]
[tex]Part=0.10[/tex]
Step-by-step explanation:
Given
[tex]Columns = 10[/tex]
[tex]Shaded = 1[/tex]
Required
Part of the whole
This is calculated as:
[tex]Part=\frac{Shaded}{Columns}[/tex]
Substitute [tex]Columns = 10[/tex] and [tex]Shaded = 1[/tex]
[tex]Part=\frac{1}{10}[/tex]
[tex]Part=0.10[/tex]
10/y=2/9, find the solution of y. stat.
Answers
Answer:
y=45
Step-by-step explanation:
Let's solve your equation step-by-step.
10 y = 2 /9
Step 1: Cross-multiply.
10 y = 2 /9
(10)*(9)=2*y
90=2y
Step 2: Flip the equation.
2y=90
Step 3: Divide both sides by 2.
2y /2 = 90 /2
y=45
brainliest please?
Answer:
y = 45
Step-by-step explanation:
10/y=2/9
10 = y * 2/9
10 = 2/9y
10 * 9 = 2/9y * 9
90 = 2y
90/2 = 2y/2
y = 45
ps: * means multiply
Im new here :) but hey you got these qs try your best okie
I hope and im glad to help
Please help!
Which equation represents the relationship shown in the table?
Answers
Answer:
[tex]g \: y = 2x - 3 \\ [/tex]
if you insert x and y values in equation you can find the exact equation
Find the value of the expression below
when x =3/4
4x² + 8x - 5
Answers
Answer:
4x² + 8x - 5
= 4(3/4)² + 8(3/4) - 5
= 4 × 9/16 + 24/4 - 5
= 36/16 + 24/4 - 5
= 9/4 + 6 - 5
= 9/4 +1
= 3.25
Step-by-step explanation:
Hope it helps!!
Find the length of side AB.
Give your answer to 1 decimal place.
C
12 cm
62°
A
B
Answers
Answer:
5.63cm
Step-by-step explanation:
to find length of side AB
12[tex]cos[/tex][62°]
=5.63cm
How many 6-digit numbers are there in all?
Answers
Answer:
900,000 6
∴ there are 900,000 6-digit numbers in all.
the annual
The present population of
of a town is 66550. If the annual population growth
rate is 10% what was
the Population growth of town 3 years ago ?
Answers
Answer:
Population (t=-3)= 50,000
Step-by-step explanation:
Giving the following information:
Annual growth rate (g)= 10%
Number of periods (n)= 3 years
Present Value (PV)= 66,550 people
To calculate the population three years ago, we need to use the following formula:
Population (t=-3)= PV / (1 + g)^n
Population (t=-3)= 66,550 / (1.1^3)
Population (t=-3)= 50,000
I NEED HELP!! with this homework please. For B,C,and D, if you know the answer please tell me I’m kinda confused.
I’ll make you a brainlist for the reward:)
Answers
Answer:
Step-by-step explanation:
Location Reflect over x Reflect over y
B -0.75 ,1 -0.75 ,-1 +0.75 ,1
C 1.75 ,-1 1.75,1 -1.75,+1
D -2,-2 -2,+2 +2 ,-2
Please help !!!!!! Thanks
Answers
Step-by-step explanation:
[tex]2 \times 14 \times 13 +12 \times 10 + 14 \times 10 = \\ = 624[/tex]
PLS HELP ME ASAP PLS PLS PSL
Answers
Answer:
25
Step-by-step explanation:
HELP PLEASE what’s the answer!?!?
Answers
Answer:
this is the answer for 4th question
and it is a collinear
Answer:
C=20
Step-by-step explanation:
This is for question 3
For perpendicular lines , the product of their gradient should give -1 for the answer and thus,
3×x=-1
x=-⅓, the gradient for the line.
Therefore c =
-2-3/c- 5 =-⅓
-1(c-5)=3(-2-3)
-c+5=-6-9
-c=-6-9-5
-c=-20
The negatives cancel each other leaving c as 20
Write the number in 2 equivalent forms as a fraction, decimal, or percent.
23%
Answers
Answer:
23%, 23/100, 0.23
Step-by-step explanation:
23%
= 23/100
= 0.23
The radius of a circle is 8 inches. What is the area?
r=8 in
Give the exact answer in simplest form.
Answers
Answer:
Radius = 8 inches
Area = [tex]\pi {r}^{2} [/tex]
[tex]area = \pi( {8}^{2})[/tex]
[tex] = 64\pi \: square \: inches[/tex]
A = [tex]201.06 ^{2} \: inches[/tex]
Step-by-step explanation:
Hope it is helpful....
given:quadrillateral ABCD inscribed in a circle
prove angel A and angel C are supplementary angel B and D are supplementary
Answers
Answer:
Step-by-step explanation:
Given: quadrilateral ABCD inscribed in a circle
To Prove:
1. ∠A and ∠C are supplementary.
2. ∠B and ∠D are supplementary.
Construction : Join AC and BD.
Proof: As, angle in same segment of circle are equal.Considering AB, BC, CD and DA as Segments, which are inside the circle,
∠1=∠2-----(1)
∠3=∠4-----(2)
∠5=∠6-------(3)
∠7=∠8------(4)
Also, sum of angles of quadrilateral is 360°.
⇒∠A+∠B+∠C+∠D=360°
→→∠1+∠2+∠3+∠4+∠5+∠6+∠7+∠8=360°→→→using 1,2,3,and 4
→→→2∠1+2∠4+2∠6+2∠8=360°
→→→→2( ∠1 +∠6) +2(∠4+∠8)=360°⇒Dividing both sides by 2,
→→→∠B + ∠D=180°as, ∠1 +∠6=∠B , ∠4+∠8=∠B------(A)
As, ∠A+∠B+∠C+∠D=360°
∠A+∠C+180°=360°
∠A+∠C=360°-180°------Using A
∠A+∠C=180°
Hence proved.
credit: someone else
One year of classes at the University of Texas at Austin costs $10,700.
Georgio has received a grant that will pay $700 and a scholarship for
$5,500. He wants to get a job to pay 40% of the remainder of the costs
and borrow the rest of the money. How much does he need to earn on
his job, and how much will he need to borrow?
O
Georgio has to earn $1,600 and borrow $2,700.
Georgio has to earn $1,800 and borrow $2,700.
Georgio has to earn $1,800 and borrow $2,300.
Georgio has to earn $1,600 and borrow $2,300.
Answers
Answer:
Georgio has to earn $1,800 and borrow $2,700.
I will give a brainlist and more if someone can tutor me on how to do this so if you want to let me know, please!! anyone from ages 15-17
Solving Exponential and Logarithmic Equations: What are the potential solutions to the equation below? 2ln(x+3)= 0 X=-3 and X=-4 O x=-2 and x=-4 X= 2 and X=-3 O x=2 and X= 4
Answers
Answer:
x = -2.
Step-by-step explanation:
2 ln(x + 3) = 0
ln(x + 3) = 0
Now ln 1 = 0 so
x + 3 = 1
x = -2.
If y varies directly as x, and y = 6 when x = 4, find y when x = 12.
y =
Answers
y=14 I hope this helps!!
10d = 10,000
solve for D
Answers
Answer:
d = 1000 is the correct answer to that question
Answer:
d=4
Step-by-step explanation:
10^d=10000
Solve Exponent.
10d=10000
log(10d)=log(10000) (Take log of both sides)
d*(log(10))=log(10000)
d=
log(10000)
log(10)
d=4
Hope this helps :)
What is the constant in y=−3x+7
dont say the answer in a file i have to download
Answers
Answer:
7
Step-by-step explanation:
find the area of a triangle
b = 30m
h = 15.6m
Answers
Answer:
234
Step-by-step explanation:
Answer:
234
Step-by-step explanation:
AREA FOR TRIANGLE: bh/2
b = base
h = height
-
30 x 15.6 = 468
468/2 = 234
-
hope this helped ! :D
Help! Look at my last most recent question for 100 points. This one only offers 10.
Answers
Answer: 2.43m^3
Step-by-step explanation:
Answer: 2.43cm^3
Step-by-step explanation:
PLEASE mark me BRAINIEST! One more until next ranking!
if -3x + 7 = -8 what does X equal
Answers
Answer:
5
Step-by-step explanation:
3x-7=8
x=5
A principal was buying T-shirts for his school's math club and found that the total cost
in dollars could be found by the function f(x) = 9x + 7, where x is the number of
members in the club. If there are at least 12 members on the team but not more than
16, then which of the following statements describes the function?
A. The value of x must be a whole number between 12 and 16 and the value of f(x)
must be a whole number between 9 and 7.
B. The value of x must be a whole number between 12 and 16 and the value of f(x)
must be a whole number between 115 and 151.
C. The value of x must be a whole number between 0 and 16 and the value of f(x) must
be a whole number between 0 and 151.
D. The values of x and f(x) must both be whole numbers between 7 and 9.
Answers
Answer: B, makes the most sence
Step-by-step explanation:
What is the area of the parallelogram
Answers
96
Step-by-step explanation:
Your formula for parallelograms are: (B•H) which means base times height...
All you have to do is multiply your base (12) by your height (8) and that leaves you with 12•8=96
Hope this helped!
Work out 5/6 x 3/4
Give the answer as a fraction in its simplest form.
Answers
Answer:
The answer is 5/8
Step-by-step explanation:
What are the solutions to the following system of equations?
y = 3x - 7
5x - y = 11
A(2, -1)
B (3, 4)
C (-3, 3)
D (-6, 1)
Answers
Answer:
A (2,-1)
Step-by-step explanation:
-1 = 3(2) -7
5(2) - (-1) = 11