The general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0
How to determine the circle equation?The center of the circle is given as:
Center, (a,b) = (-4,9)
The diameter is given as:
d = 10
Calculate the radius (r)
r = 10/2 = 5
The circle equation is then calculated using:
(x - a)² + (y - b)² = r²
So, we have:
(x + 4)² + (y - 9)² = 5²
Expand
x² + 8x + 16 + y² - 18y + 81 = 25
Collect like terms
x² + y² + 8x - 18y + 16 + 81 - 25 = 0
Evaluate
x² + y² + 8x - 18y + 72 = 0
Hence, the general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0
Read more about circle equations at:
https://brainly.com/question/1559324
36.4+(-68.15) how do I compute this?
Answer:
-31.75
Step-by-step explanation:
[tex]36.4+(-68.15) \\ \\ = 36.40 - 68.15 \\ \\ = -31.75[/tex]
DONT UNDERSTAND AT ALLL
Answer:
finding the area:
146
Step-by-step explanation:
You need to break the image up into 3 pieces. the lower big triangle, the middle square, and the top triangle.
the measuremets of the lower big triangle is 14 and 14.
to find the area, we need to do 1/2 *14*14
this equals 98
The measurements of the square is 4,4.
we multiply 4*4 to get 16
The measurements of the top triangle is 8,8.
We find the area by doing 1/2*8*8
We get 32
lastly, we add up all of our solutions.
we do 98+16+32
we get 146.
Identify the translation of the figure with the vertices P(−4,−5), L(1,−7), and K(−9,8), along the vector <−6, 3>.
Answers:
P ′(−10, −2), L ′(−5, −4), K ′(−15, 11)
P ′(2, −8), L ′(7, −10), K ′(−3, 5)
P ′(−10, −8), L ′(−5, −10), K ′(−15, 5)
P ′(2, −2), L ′(7, −4), K ′(−3, 11)
Answer:
P ′(−10, −2), L ′(−5, −4), K ′(−15, 11)
Step-by-step explanation:
The translation vector, ⟨−6,3⟩, can be used to derive a rule for the translation of the coordinates: (x,y)→(x−6,y+3).
Apply the rule to translate each of the three preimage vertices to the image vertices.
P(−4,−5)→P'(−10,−2)
L(1,−7)→L'(−5,−4)
K(−9,8)→K'(−15,11)
Therefore, P'(−10,−2), L'(−5,−4), N'(−15,11) is the translation of the figure with the vertices P(−4,−5), L(1,−7), and K(−9,8), along the vector ⟨−6,3⟩.
Answer:
P ′(−10, −2), L ′(−5, −4), K ′(−15, 11)
Step-by-step explanation:
P(−4,−5)→P'(−10,−2)
L(1,−7)→L'(−5,−4)
K(−9,8)→K'(−15,11)
Therefore, P'(−10,−2), L'(−5,−4), N'(−15,11) is the translation of the figure with the vertices P(−4,−5), L(1,−7), and K(−9,8), along the vector ⟨−6,3⟩.
Earnings from a financial investment, usually stated as an annual percentage
rate are:
O risks.
expenses.
O dividends.
O returns.
Answer:
O returns.
Step-by-step explanation:
please helpppppppppppppppppppppp
Answer:
1/8 Hour(s) longer
Step-by-step explanation:
5/8-1/2= 1/8
simplify the expression below
5/6 (12p - 42)
Answer:
[tex]\boxed{\sf{10p-35}}[/tex]Step-by-step explanation:
Use the distributive property.
Distributive property:
A(B-C)=AB-AC A(B+C)=AB+AC[tex]\sf{\dfrac{5}{6}=(12p-42) }[/tex]
Multiply by expand.
[tex]\Longrightarrow: \sf{\dfrac{5}{6}\cdot \:12p-\dfrac{5}{6}\cdot \:42}[/tex]
Solve.
5/6*12p=10p
5/6*42=36
Use the order of operations.
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAddSubtract[tex]\sf{\dfrac{5}{6}\cdot \dfrac{42}{1}=\dfrac{5*42}{6} }[/tex]
Divide.
42/6=7
Multiply.
5*7=35
Subtract.
35-35=0
[tex]\Longrightarrow: \boxed{\sf{10p-35}}[/tex]
Therefore, the correct answer is 10p-35.
I hope this helps. Let me know if you have any questions.
Answer:
[tex]10p - 35[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]\frac{5}{6}(12p - 42)[/tex]
[tex](\frac{5}{6}*12p) + (\frac{5}{6} * (-42))[/tex]
[tex]\frac{60p}{6}-\frac{210}{6}[/tex]
Step 2: Simplify the expression
[tex]\frac{60p}{6}-\frac{210}{6}[/tex]
[tex]10p - 35[/tex]
Answer: [tex]10p - 35[/tex]
Would a Linear, Quadratic, or Exponential model best fit?
Henry opened a bank accountwith $500. Then he deposited $100 every month.
A.Linear
B.Quadratic
C.Exponential
D.None of the Above
What is the measure of ZXYZ shown in the diagram below?
36°
114°
A. 36°
B. 39•
C. 75°
D. 78
Answer:
39 deg
Step-by-step explanation:
The measure of an exterior angle is equal to half the difference of the measure of intercepted arcs.
(114-36)/2 = 39 deg
(pls help)
Which of these graphs does not represent a function?
Answer:
d
Step-by-step explanation:
d is not a function as it doesn't have correct function potential in linear x and y axis
WILL MARK BRAINLIST!!!!
Answer:
parallelogram
explanation:
way to know if a quadrilateral is a parallelogram is if opposite sides are actually.
Answer:
I believe the answer is probably parallelogram because it is undetified if it is equivalent on the sides or not. If the sides were equal it would be an isosceles trapezoid and if they weren't it would be a trapezoid. Since there is not enough info about the side legnths of the figure it would more than likely be a parallelogram.
which function represents this sequence (1,6) (2,18) (3,54) (4,162) (5,486)
Step-by-step explanation:
3 54 4 162 5 486
sorry if I'm wrong
What is mCD. The answer is 60 but i need the work
Answer:
Arc cd = 60 degrees
Step-by-step explanation:
Angle E is an inscribed angle ....inscribed angle will intercept twice as many degrees of arc as the angle measure
angle measure = 62 twice as many degrees of arc = 124 (b-c-d)
bc = 64 so cd = 60 for the total of 124
Can anyone help been stuck for a while
Question:
Can anyone help been stuck for a while
Answer:
[tex]\frac{5}{11}[/tex]
Step-by-step explanation:
30 regular flavors.
25 watermelon flavors.
Add them both and you get:
55.
Turn that into a fraction:
[tex]\frac{25}{55}[/tex]
The reason the numorator is 25 is because there are 25 watermelon flavors and 55 flavors total.
Find the GCD (or HCF) of numerator and denominator.
The GCD of 25 and 55 is 5.
Divide both the numerator and denominator by the GCD
25 ÷ 5 = 5
55 ÷ 5 = 11
Reduced fraction:
[tex]\frac{5}{11}[/tex]
Therefore, [tex]\frac{25}{55}[/tex] simplified to lowest terms is:
[tex]\frac{5}{11}[/tex]
Therefore, the answer is: [tex]\frac{5}{11} \\[/tex]
Read this sentence from “A Spelunking Trip.”
They hastened into the cave and stood still until their eyes grew accustomed to the dim light.
Based on this sentence, what does accustomed mean?
A.fascinated by
B.unfamiliar with
C.used to
D.blind
Answer:
Used ti should be the correct answer
Step-by-step explanation:
To rent a paint sprayer at the hardware store, there is a set fee and an hourly rate. The rental cost, c, can be determined using this equation when the paint sprayer is rented for h hours.
c = 35 + 6h
Which of these is the hourly rate?
I WILL MARK BRAINLIEST
To rent a paint sprayer at the hardware store, there is a set fee and an hourly rate. The rental cost, c, can be determined using this equation when the paint sprayer is rented for h hours.
c = 35 + 6h
Which of these is the hourly rate?
6
6h
35
35h
Answer:
6
Step-by-step explanation:
35 is the first fee, so you exclude that and so the answer would be 6
The surface area of a sphere is 200. 96 square centimeters. What is the approximate volume of the sphere? Use 3. 14 for pi
Answer:
200.96 (pi)= 631.33
200.96. (3.14)=631.01
Step-by-step explanation:
when you use (pi) the answer is 631.33
but if you use (3.14) the answer is 631.01
that's mean than the answer change
Joe bought a house for $200,000. The value of the house can be represented by the formula V = 200,0
t represents the number of years since Joe purchased the home. About how many years will it take for
home to be worth more than twice its purchase price?
21
The value of the home after 21 years is 200,000(1.035)^21=411,886.29
Need help ASAP! 5th grade math, will give brainliest! c: (you may want to attach a photo to show your work!)
Answer:
5/6, 3/10, 1/2
Step-by-step explanation:
1.5 cakes are shared equally between 6, meaning there are 5/6 of a cake for each person.
2. The pizza is shared equally between 10 people, meaning each person gets 3/10 of a pizza.
3. Each person receives 1/2 of a granola bar as as simplified version 0f 4/8 is 1/2
Pedro found a treasure map that said to take 12 steps north, then 8 steps south. Where is Steve in relationship to where he started?
The Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Steve is 4 steps in the north.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
Pedro found a treasure map that said to take 12 steps north, then 8 steps south.
Steve in relationship to where he started will be
By Pythagoras theorem
[tex]\rm H^2 = P^2+B^2\\\\H^2 = (0.0)^2 + (12-8)^2\\\\H^2 = 4^2\\\\H \ = 4[/tex]
Steve is in 4 steps in the north.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
anyone knows the answer?!
Which point is located at -0.135−0.135minus, 0, point, 135?
Answer:
Point D
Step-by-step explanation:
Each jump os 0.01 and as you go left it decreases in value but increases as it appearances. As we can see D is 3 and a half lines away from -0.1
Hope this helps and brainliest please
Answer:
point D
Step-by-step explanation:
as it increases its sums with 0.1
but in between the lines it sums up with 0.05.
I will give BRAINILEST
Answer:
5/12
Step-by-step explanation:
10 out of 24 earned an A ...that is the probability
10/24 = 5/12
An explanation would be appreciated!!
A blueprint of a plot of land has a scale of cm to m. The length of land measures 15 cm on the blueprint. If l represents the length of the actual piece of land, what is l?
Answer:
Answer: l = 82.5
Step-by-step explanation:
11/2 x 15 = 82.5.
PLS HELP ME I WILL GIVE 100
Answer:
13
Step-by-step explanation:
[tex] s = \sqrt{ {13}^{2} + {2}^{2} } = \sqrt{169 + 4} \sqrt{173} = 13.15[/tex]
[tex]t = \sqrt{ {13}^{2} + {2}^{2} + 2 {}^{2} } = \sqrt{177} = 13.30[/tex]
⚠️‼️ HELP PLEASE GIVING POINTS
Answer:
CBD = 63 degrees
Step-by-step explanation:
To find CBD, we must first find the value of x. To do so, we use this equation since CBD and ABC equal 96 degrees:
(6x+27) + (7x-9) = 96
13x+18 = 96
13x+18-18 = 96-18
13x = 78
13x/13 = 78/13
x = 6
Now that we know the value of x, we factor it in to CBD to find its true value:
6x+27
6(6)+27
36+27
= 63 degrees
To check if this answer is correct, we can also find the value of ABC and see if the two values equal 96:
7x-9
7(6)-9
42-9
= 33 degrees
63 + 33 = 96
The answer is correct. CBD = 63 degrees and ABC = 33 degrees.
PLEASE HELP!!!!
11.) A restaurant chain's owners are trying to decide if they want to open up a franchise in your
town. To help them decide, they want to find out how often people in your town go out to eat. A researcher interviews people leaving a local restaurant. Is there a bias in this sampling
method? Explain.
12. Is there any bias in the following survey question? Explain.
Do you prefer delicious chocolate ice cream or boring vanilla ice cream?
Answer:
11. The sampling method is biased. This is because the researcher only interviews people coming out of the restaurant instead of people in the restaurant or walking on the street. This would be called convenience sampling.
12. There is bias in the question. The writer prefers chocolate over vanilla by the words used to describe the two flavors.
(Sorry if this was too late for you by the way.)
Two people are randomly chosen from an office with 4 managers and 8 office workers. If the first person, a manager, is not replaced, find the probability of choosing a second person who is an office worker.
Please help I'm desperate :(
Answer:
8/11 or 73%
Step-by-step explanation:
# of office workers to whole
Find the percentage of 8/11
Hopefully this helps, good luck!
Graham has $720 in a savings account that earns 1.5% annually. How much total will he have in 6 months?
Answer:
337,996.8 Philippine Peso Phpand here's a us
6,480 US Dollar USDwhat is the correct answers NEED ANSWER ASAP
Answer:
Reflection over x-axis
Horizontal shift right 1
Vertical shift up 6
Step-by-step explanation:
see image to see how to find this infor in the equation.
Horizontal changes are in close to the x, but opposite of what you might think. Minus shifts RIGHT and plus shifts LEFT.
Answer:
Your answer:
Horizontal shift right 1.Vertical shift up 6.Reflect over the x-axis.Step-by-step explanation:
[tex]f(x)=x^2 , g(x)=-(x-1)^2+6[/tex]
[tex]y=-a(x-h)^2+k[/tex]
For g(x) our (h,k) = (1,6)
h - translate right/left, our h = 1 is right 1.
h - translate up/dqwn, our k = 6 is up 6.
If a = positive - no reflect x-axis. If a = negative - reflect x-axis.
Attempt 2
A student randomly selects two buttons from a box containing 32 red buttons, 48 blue buttons, 44 green buttons, and 51
yellow buttons. Compute the probability, as a decimal ratio with four decimal places, of selecting two red buttons.
The probability of drawing two red buttons is:
P = 0.0326
How to get the probability?There are:
32 red buttons.48 blue buttons.44 green buttons.51 yellow buttons.So there are a total of 32 + 48 + 44 + 51 = 175
We assume that all the buttons have the same probability to being randomly drawn.
For the first button, the probability of drawing a red one is equal to the quotient between the number of red buttons and the total number of buttons:
p = 32/175
For the second button the probability is computed in the same way, but now there are 31 red buttons and 174 buttons in total, so we have:
q = 31/174
Finally, the joint probability is given by the product between p and q, this gives:
p*q = (32/175)*(31/174) = 0.0326
If you want to learn more about probability, you can read:
https://brainly.com/question/251701