The center of the circle is (7,8) and the equation of the given circle is (x- 7)^2 + (y - 8)^2 = 16
How to determine the equation of the circle?The given parameters are:
Center (a,b) = (7,8)
Point (x,y) = (11,8)
Calculate the radius (r) using:
[tex]r = \sqrt{(x- a)^2 + (y - b)^2}[/tex]
So, we have:
[tex]r= \sqrt{(11- 7)^2 + (8 - 8)^2}[/tex]
Evaluate the expression
[tex]r = 4[/tex]
The circle equation is then calculated using:
[tex](x- a)^2 + (y - b)^2 =r^2[/tex]
So, we have:
[tex](x- 7)^2 + (y - 8)^2 = 4^2[/tex]
Evaluate the exponent
[tex](x- 7)^2 + (y - 8)^2 = 16[/tex]
Hence, the equation of the given circle is (x- 7)^2 + (y - 8)^2 = 16
Read more about circle equations at:
https://brainly.com/question/1559324
Use a net to find the surface area of the prism.
A rectangular prism has a length of 15 inches, width of 6 inches, and height of 8 inches.
A. 576 in.2
B. 258 in.2
C. 516 in.2
D. 720 in.2
i just don't understand can some one please help me :)
Answer:
C. 516 in2
Step-by-step explanation:
I took the test last week and I got this question corrected
Let R be the region enclosed by f(x) = x² + 4, g(x) = (x - 5)² and the axes x = 0 and y = 0. Compute the volume V
obtained by rotating R about the x-axis.
Hint: Express V as a sum of two integrals.
Answer:
v=0g
That's what i got
good luck
Which is an equation of the line that passes through the points (5,2) and (10,-3)?
A. y = x - 3
B. y = x - 8
C. y = -x + 7
D. y = -x + 12
Answer:
C
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, 2 ) and (x₂, y₂ ) = (10, - 3 )
m = [tex]\frac{-3-2}{10-5}[/tex] = [tex]\frac{-5}{5}[/tex] = - 1 , then
y = - x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (5, 2 ), then
2 = - 5 + c ⇒ c = 2 + 5 = 7
y = - x + 7 ← equation of line
Which expression represents the volume, in cubic units, of the frustum? one-thirdπ(7.52)(11) – one-thirdπ(3.52)(8) one-thirdπ(7.52)(11) one-thirdπ(3.52)(8) one-thirdπ(7.52)(19) – one-thirdπ(3.52)(8) one-thirdπ(7.52)(19) one-thirdπ(3.52)(8)
The expression that represents the volume of the frustum, Volume of larger cone - volume of smaller cone, is: C. ⅓π(7.5²)(19) - ⅓π(3.5²)(8) .
What is the Volume of a Frustum?Volume of a frustum = Volume of larger cone - volume of smaller cone = ⅓π(R²)(H) - ⅓π(r²)(h)
Given the cone in the digram below with the following parameters:
R = 7.5 units
H = 8 + 11 = 19 units
r = 3.5 units
h = 8 units
Volume of the frustum = ⅓π(7.5²)(19) - ⅓π(3.5²)(8)
Learn more about volume of frustum on:
https://brainly.com/question/1799644
Answer:
C. Edge
Step-by-step explanation:
Now, write 21j+56k in factored form .
Answer:
7(3j+8k)
Step-by-step explanation:
What is the image of (-9,-5) after a dilation by a scale factor of 5 centered at the origin?
Answer:
[tex](-45,-25)[/tex]
Step-by-step explanation:
[tex]-9 * 5 = -45-5 * 5 = -25(-45,-25)[/tex]
WILL REWARD BRAINLIEST!!!
m angle R = 120° and m angle S = 100°. Find m angle T. The diagram is not drawn to scale. Quadrilateral R U S T is shown. Side R U is congruent to side R S. Side U T is congruent to Side S T.
A. 20° B. 100° C. 60° D. 40°
Answer:
D.40°
Step-by-step explanation:
Angle U is congruent to angle S because UR = RS and UT=TS. Through that we now know U is also = 100°. A quadrilateral has to equal 360° degrees so 360°- 120° - 100°- 100° = 40° degrees
T is 40°
Answer:
its D. 40
hope that helped you
a rectangle with a length of 28 and perimeter of 64 what is the width and what is the area
(LC) The following coordinates of four points are shown: P(4, 5), Q(5, 3), R(6, 1), S(3, 6) Which point is closest to the origin along the y-axis? Question 2 options: P Q R S
Answer:
S
Step-by-step explanation:
If the second term of an arithmetic progression is - 4 and the fourth term is 8, find the ninth term.
Answer:
Step-by-step explanation:
a₄ = a₁ + (4-1)d
4 = -4 + 3d
d = 8/3
a₈ = a₄ + (8-4)d = 4 + 4(8/3) = 14⅔
Solve this system with elimination 2x+3y=20 -2x+y=4
Answer:
x = 1, y = 6
Step-by-step explanation:
look at attached
Answer:
(y= -3 , x=13/2 )
Step-by-step explanation:
2x +3y =420-2x+y =4
2x +3y =4
-2x+ y= -16
4y = - 12
Divide both side of the equation by 4
y =-3
2x + 3x ( - 3 )= 4x = 13/2
hope it will help u !!What is the center and radius of the circle described by the equation (x + 4)² + (y - 6)² = 25?
A. (4, -6); r = 25
B. (4, -6); r = 5
C. (-4, 6); r = 25
D. (-4, 6); r = 5
Answer:
A.
Step-by-step explanation:
Need answered please
Answer:
4,6
Step-by-step explanation:
because the distance 3 so the distance from r to s has to be the same pretty sure
Tess, who lives in the united states, is on a trip to europe. she is going first to germany, where the currency is the euro (€), and then to switzerland, where the currency is the swiss franc (chf). as she travels from germany to switzerland, she finds that she has the equivalent of $527 remaining in euros, which she wishes to convert to swiss francs. if, at the time of tess’s exchanges, the exchange rate of the us dollar to the euro is 1:0.6957 and the exchange rate of the euro to the swiss franc is 1:1.4755, how many swiss francs does she have? round all currencies to two decimal places. a. 366.63 francs b. 513.39 francs c. 540.96 francs d. 777.59 francs
answer:
c
explanation:
from dollars to euro
for every us dollar you have 0.6957 euros
so you time that (0.6957) by 527
which is
366.6339 euros
now we need to convert the euros to swiss franc
so we do 366.6339 euros times 1.4755
this will be 540.96831945 chf
rounding to 2 decimal places will be : 540.96
in the expression: -3x^4+5x³-2x²-8x-2
what is the coefficient of the 1st term
Answer:
-3.
Step-by-step explanation:
The first term is -3x^4
and irs coefficient is -3.
Need help i will give brainlist
Answer:
The option u chose is the correct one
When Nayeli goes bowling, her scores are normally
distributed with a mean of 135 and a standard deviation of
12. What percentage of the games that Nayeli bowls does
she score less than 128, to the nearest tenth?
Using the normal distribution, it is found that she scores less than 128 in 28.1% of her games.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 135, \sigma = 12[/tex].
The proportion of games in which she scores less than 128 is the p-value of Z when X = 128, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{128 - 135}{12}[/tex]
Z = -0.58
Z = -0.58 has a p-value of 0.281.
She scores less than 128 in 28.1% of her games.
More can be learned about the normal distribution at https://brainly.com/question/24663213
#SPJ1
PLEASE HURRY ;-;
A can in the shape of a cylinder is filled 75% of the way with liquid. The can has a height of 10 cm and a radius of 2 cm. Please determine following:
Total volume of the can
The volume of the liquid of the can
The volume of the empty space in the can.
Use the pi button and round to the nearest tenth, if necessary.
The volume of the can is ___ cubic centimeters.
The volume of the liquid is ___ cubic centimeters.
The volume of the empty space is ___ cubic centimeters.
Answer:
do you go to palcs too?
Step-by-step explanation:
Please help me with this trigonometry question. Brainliest available.
Please help, I don't understand this at all!!
Answer:
Step-by-step explanation:
if the middle point of the circle is the letter O
2a.
if the middle point is the letter O
answer: LOM is a central angle
central angle means it comes from the center and each part of it is a radius
central angle is the same degree as the degrees of its arc
so it would also be 84 degrees
2b.
answer: points LM make a minor arc because its less than 180
2c
answer: points LKN make a semi circle
2d
answer: LKNM is a major arc because its more than 180
2e
LKM = 360 - 84 = 276
answer: 276
2f
84*2=168 -> 360-168 = 192 -> 192 divided by 2 is 96
answer: LK is 96
2g
answer: MN is 96
2h
NK is like LM so its 84
answer: 84
2i
LKN is 84+ 96 = 180
answer: 180
2j
360-96 = 264
answer: 264
Assume each order is independent. For which type of dinner is the value of its contribution to the appropriate test statistic the greatest?Assume each order is independent. For which type of dinner is the value of its contribution to the appropriate test statistic the greatest?
The type of dinner in which the value of its contribution to the appropriate test statistic is the greatest is E) Vegetarian
What is a Test Statistic?This refers to the derived statistic that is used in the statistical hypothesis testing in an experiment with a sample.
Hence, we can see that from the complete question, there is the tracking of dinner types by the manager and he compares the change in distribution from last year.
He finds that if each order is independent, then the type of dinner which is the value of its contribution to the appropriate test statistic the greatest is vegetarian meals.
Read more about test statistics here:
https://brainly.com/question/15980493
#SPJ1
Kiran's bank balance is $320. What is her new bank balance when she takes out $450
Answer:
Take out means add so
Step-by-step explanation:
320 + 450 = 770$ her new bank balance
You eat 4 strawberries and get 48% of your recomended amount of vitamin C. What fraction of your vitamin C do you still need?
Answer:
52% or 13/25
Step-by-step explanation:
100%-48% is 52%
And for the fraction its 52/100 then simplified to 13/25
Answer: 13/25
Step-by-step explanation: You have 48/100 and need 52/100 to make the whole 100%
Simplify 52/1100
in a linear equation, how many times will a line cross the x-axis and y-axis?
(a) 4
(b) 2
(c) 1
(d) 3
Answer:
1
Step-by-step explanation:
in a linear equation a line will only cross the x and y-axis one time
.
Find the equation of the line that goes through the point (-2, -2) and has a slope of -4.
y = -2x - 4
y = -4x - 2
y = -2x - 2
y = -4x - 10
Answer:
D
Step-by-step explanation:
Yo I need to bring up my math grade bad so
simplify combining like terms
-11+2(4x-1)+6
(show step by step0
-11+2(4x-1)+6
-11+8x-2+6
-13+8x+6
-7+8x
How does g(t)=20.9t change over the interval from t=2 to t=3?
[tex]slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ g(t)= 20.9t\qquad \begin{cases} t_1=2\\ t_2=3 \end{cases}\implies \cfrac{g(3)-g(2)}{3-2}\implies \cfrac{20.9(3)~~ - ~~20.9(2)}{1} \\\\\\ 62.7~~ - ~~41.8\implies 20.9[/tex]
I need help please someone help me :(
Btw the bottom on has the same graph I just need a answer
Problem 1
There are 23 women that drive out of 12+3+23+8+5+32 = 83 people total
Divide the two values: 23/83 = 0.28 approximately
This says about 28% of the total people are women who drive a car.
Answer: 0.28===========================================================
Problem 2
The "given" is a very important keyword in probability. In this case, we're given that the employee takes the bus. That means we soly focus on the "bus" column only. Everything else is irrelevant. This is because we know 100% that whoever we selected takes the bus, and we've shrunk down the population just these employees.
We have 8 males who take the bus out of 12+8 = 20 people who take the bus. Therefore, 8/20 = 0.40 represents the relative frequency of males who take the bus out of all bus commuters. In other words, 40% of the bus riders are male.
Answer: 0.405(y+2)= -3
Whats the answer TvT
Answer:
The answer is given below
Step-by-step explanation:
[tex](5y + 10) = - 3[/tex]
[tex]5y = - 3 - 10[/tex]
[tex]5y = - 13[/tex]
[tex]y = - 13 \div 5[/tex]
This is the velue of y
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEAnswer:
5(y+2)= -3
distribute
5y+10=-3
-10
5y=-13
divide by 5
y=-13/5
Hope This Helps!!!
The shortest warmer was blue. The two longest warmers were pink.
How much longer was the combined length of the pink warmers than the length of the blue warmer?
Answer:
8
Step-by-step explanation:
The shortest leg warmer:
4.5
The longest leg warmers:
6 and 6.5
6 + 6.5 = 12.5
12.5 - 4.5 = 8