Determine the equation of the circle graphed below.
9514 1404 393
Answer:
(x -6)^2 +(y -6)^2 = 10
Step-by-step explanation:
To use the standard form equation for a circle, we need to know the center and the square of the radius. The center can be read from the graph as (6, 6). The square of the radius can be found using the distance formula.
d^2 = (x2-x1)^2 +(y2-y1)^2
The radius is the distance between the two points shown, so we have ...
d^2 = (7-6)^2 +(9-6)^2 = 1^2 +3^2 = 10
__
The equation of a circle centered at (h, k) with radius r is ...
(x -h)^2 +(y -k)^2 = r^2
For (h, k) = (6, 6) and r^2 = 10, the equation is ...
(x -6)^2 +(y -6)^2 = 10
Find the area of the circle
Pls help quick
Answer:
153.86.
Step-by-step explanation:
Formula for area of a circle: A= Pi R (R is radius) squared. First fill in the numbers: 3.14x7^2 Then Solve for the squared: 7^2=49, then finally multiply 49x3.14 which gets you to 153.86.
Which graph best represents an exponential function?
• A.
B.
C.
Can someone please help answer?
WORTH 20 POINTS
Use the volume formula to find the volume of the prism.
A. 9 cubic units O
B. 18 cubic units
C. 4 cubic units O
D. 7 cubic units
9514 1404 393
Answer:
A. 9 cubic units
Step-by-step explanation:
We interpret the smudges in your attachment to be dimensions of 1 1/2, 4, and 1 1/2. The volume is the product of these.
V = LWH
V = (4)(1.5)(1.5) = 9 . . . . cubic units
The volume of the prism is 9 cubic units.
Todd Lyle worked Monday through Friday from 8:00 A.M. to 5:00 P,M. with an hour off for lunch. He is paid $10,50 an hour. Find his earnings for the week.
Answer:
$315
Step-by-step explanation:
He earns $63 everyday, and then you just have to multiply that by 5 since he works 5 days in a week.
what is the vertex of y=ax^2+c
9514 1404 393
Answer:
(0, c)
Step-by-step explanation:
Compare the given equation to the vertex form equation ...
y = a(x -h)^2 +k . . . . quadratic with vertex (h, k)
You have ...
y = ax^2 +c
Matching these forms, we see that h=0, and k=c. Then the vertex is ...
(h, k) = (0, c)
Which of the following plots has exactly 2 clusters and
1 outlier
1.
a. Find the lengths of the unlabeled sides.
Answer:
The first one-6.324 (This number actually goes on forever), The second one-10
Step-by-step explanation:
1- (6*6)+(2*2), 36+4, 40, 40 unsquared=6.324
2- (8*8)+(6*6), 64+36, 100, 100 unsquared=10
Can someone please help?
What is greater 4.58 or 4.563
Answer:
4.58 is greater then 4.563
Answer:
4.58
Step-by-step explanation:
think of it like this: 58 hundredths is larger than 56 hundredths
PLS HELP!! need the answer asap
Answer:
Step-by-step explanation:
x+2x+27=90
3x=90-27
3x=63
x=63/3
x=21
Answer:
x = 21
Step-by-step explanation:
Since ∠ PQR = 90° , then the sum of the 3 angles = 90° , that is
x + 2x + 27 = 90
3x + 27 = 90 ( subtract 27 from both sides )
3x = 63 ( divide both sides by 3 )
x = 21
1/4 x 1/6 x 1/12= What fraction did Phil eat of the pizza
Answer:
[tex] \frac{1}{288} [/tex]
Step-by-step explanation:
the 1 will always stay the same because all of them are 1's
4×6=24
24×12=288
Answer:
garage bozo
Step-by-step explanation:
Find mEC.
5x - 27)
(2x - 5)
D
Answer:
Arc EC = 58°
Step-by-step explanation:
First, find the value of x.
m<D = ½(arc EC) => Inscribed Angles Theorem
Substitute
2x - 5 = ½(5x - 27)
Multiply both sides by 2
2(2x - 5) = 5x - 27
4x - 10 = 5x - 27
Collect like terms
4x - 5x = 10 - 27
-x = -17
Divide both sides by -1
x = 17
Find arc EC:
Arc EC = 5x - 27
Plug in the value of x
Arc EC = 5(17) - 27 = 85 - 27
Arc EC = 58°
Here is the function for the number of zombies, N, after t years, with the negative exponent expressed using the fraction ½:
N(t) = 300 • 0.5t/8
What is the half-life for the zombie population?
Answer:
The half-life for the zombie population is of 8 years.
Step-by-step explanation:
Exponential equation:
An exponential equation has the following format:
[tex]N(t) = N(0)(1-r)^t[/tex]
In which N(0) is the initial value and the part [tex](1-r)^t[/tex] is related to the decay.
In this question:
[tex]N(t) = 300(0.5)^{\frac{t}{8}}[/tex]
Thus N(0) = 300, that is, initial population of 300.
What is the half-life for the zombie population?
This is t for which N(t) = 0.5*300 = 150. So
[tex]N(t) = 300(0.5)^{\frac{t}{8}}[/tex]
[tex]150 = 300(0.5)^{\frac{t}{8}}[/tex]
[tex](0.5)^{\frac{t}{8}} = \frac{150}{300}[/tex]
[tex](0.5)^{\frac{t}{8}} = 0.5[/tex]
[tex](0.5)^{\frac{t}{8}} = (0.5)^1[/tex]
Equal exponents, so:
[tex]\frac{t}{8} = 1[/tex]
[tex]t = 8[/tex]
The half-life for the zombie population is of 8 years.
Which coordinate point represents the y -intercept of the equation 3x + 2y = 18
Answer:
(-6,18)
Step-by-step explanation:
3x + 2y = 18
2y= -3x + 18
y=-3/2 x + 18
give x=0
y=-3/2 *0+18
y=18#
y=18
3x+2(18)=18
3x+36=18
3x=18-36
3x=-18
x=-18/3
x=-6
In the triangle ABC shown below, DE is parallel to BC. Find the length of DB.
20
10
D
E
х
B
15
с
Answer:
i think it's 10 because if DE is 10 so BD is the same think it's 10
Fraccion decimal de -8,6
Answer:
− 1. ¯3
Step-by-step explanation:
a serving of crackers has 1.5 grams of fat. How many grams of fat are in 3.75 servings
Answer:
5.625
Step-by-step explanation:
You just have to multiply 1.5 by 3.75 which is 5.625.
So there are 5.625 grams of fat in 3.75 servings.
5.625 grams of fat are in 3.75 servings.
You just have to multiply 1.5 by 3.75 which is 5.625.
So there are 5.625 grams of fat in 3.75 servings.
What is a Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Learn more about the unitary method here https://brainly.com/question/24587372
#SPJ2
Quadrilateral is shown in the coordinate plane below.
Draw an image of quadrilateral on the coordinate plane reflected over the y-axis.
Answer:
A'(6, 2), B'(6, 5), C'(3, 6) and D'(2, 1)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
If a point A(x, y) is reflected over the y axis, the new point is at A'(-x, y).
From the document attached, the vertices of the quadrilateral is at A(-6, 2), B(-6, 5), C(-3, 6) and D(-2, 1). Hence if quadrilateral ABCD is reflected over the y axis, the new point is at A'(6, 2), B'(6, 5), C'(3, 6) and D'(2, 1).
Is it possible to design a table
where no two legs have the same length? Assume
that the endpoints of the legs must all lie in the same
plane. Include a diagram as part of your answer.
The average (also called mean) number of calories I consumed in the last 4 days is 2100. Today I decided to splurge and consumed 3000 calories. What is my new average consumed calories, now accounting for 5 days?
What function equation for the input/output table

Answer: The answer would be y = x + 8
Step-by-step explanation:
Gabriel multiplied a number by 5 instead of 3. The answer that he got was
12 more than the correct answer. What was the original number?
Answer:6
Step-by-step explanation:
The original number that was multiply by 5 instead of 3 is 6.
What is the orignal number?The equation that can be used to represent the informatioin in the question is:
5x - 3x = 12
Where x is the original number
In order to determine the value of x, take the following steps
Combine similar terms: 2x = 12
Divide both sides by 2
x = 6
To learn more about multiplication, please check: https://brainly.com/question/3385014
what do you call a vacation trip for 27 physicians! INEED THIS WORKSHEET WITH ANSWERS NOW PLS!!!!!!
Answer:
Doc Tour
Step-by-step explanation:
Answer:
Doc-Tour
Step-by-step explanation:
How much would you have to deposit today to have an accumulated amount of 20,000 in 20 years if yearly interest is 4.75% compounded continuously?
How would you write5 x 5 x 5 x 5 as a numerical expression using exponential notation ?
Using the exponential notation, the correct expression which represents 5 × 5 × 5 × 5 is 5⁴
Given tha expression :
5 × 5 × 5 × 5Number of 5's = 4
The number of 5's can be used as the power of the base, since the base is common.
Base = 5
Hence,
5 × 5 × 5 × 5 = 5⁴
Learn more : https://brainly.com/question/25629067
-1+3cotx
How do I graph this?
Answer:
Step-by-step explanation:
answer this please .
Answer:
[tex] \frac{3}{5}x + 2 = \frac{2}{3} x[/tex]
[tex]2 = \frac{2}{3} x - \frac{3}{5} x[/tex]
[tex]2 = \frac{10}{15} x - \frac{9}{15} x[/tex]
[tex]2 = \frac{1}{15} x[/tex]
[tex]x = 2 \times 15[/tex]
[tex]x = 30[/tex]
Your answer is x=30
If you are helped with my answer pls tag me brianliest I really want it....... Plzz
THANK YOU......
Solve:
3/4 + 6/7 + 2/9
The answer is 1.829365
Step-by-step explanation:
3/4+6/7+2/9=1.83
Answer:
461/252
Step-by-step explanation:
See the steps below:)