Answer:
radius = 5
Step-by-step explanation:
Given
x² + y² - 10x + 8y + 16 = 0Using completing the square method
x² - 10x + 25 - 25 + y² + 8y + 16 (x + 5)² + (y + 4)² - 25 = 0(x + 5)² + (y + 4)² = 25Standard form for equation of a circle
(x - h)² + (y - k)² = r², where r is the radiusOn comparison to our equation in the question :
r² = 25radius = 5 [as distances cannot be -ve]Answer:
radius = 5
Step-by-step explanation:
Question[tex]x^2+y^2-10x+8y+16=0[/tex]
The equation of a circle is shown. What is the radius?
----------------------------------------------------------------------------------
Equation of a circle
[tex](x-a)^2+(y-b)^2=r^2[/tex]
(where (a, b) is the center and r is the radius)
Given equation:
[tex]x^2+y^2-10x+8y+16=0[/tex]
Collect like terms:
[tex]\implies x^2-10x+y^2+8y+16=0[/tex]
Subtract 16 from both sides:
[tex]\implies x^2-10x+y^2+8y=-16[/tex]
Complete the square for both variables.
Add 25 to both sides for x. Add 16 to both sides for y.
[tex]\implies x^2-10x+25+y^2+8y+16=-16+25+16[/tex]
[tex]\implies (x^2-10x+25)+(y^2+8y+16)=25[/tex]
Factor the two variables:
[tex]\implies (x-5)^2+(y+4)^2=25[/tex]
Therefore:
center of the circle = (5, -4)radius of the circle = √25 = 5Use 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
A newborn baby weighs 3.136 times 10 superscript 3 units. which unit of measure was used? grams ounces pounds tons
Answer:
its A
Step-by-step explanation:
have you smiled today? its very important:)
Answer:
A
Step-by-step explanation:
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
what is the equation that represents the sentence, twenty four is the sum of a number and six use x for the variable
Answer:
24 = x + 6
Step-by-step explanation:
24 = x + 6
Solve based on the diagrams.
2. What is the mode of this data set?
Answer:
5 is the mode of the data set.
Step-by-step explanation:
When finding the numbers of a bar graph like this, we count each x and the placement to find the number and amount of times it is shown.
Ex. There is 4 x's above 5. Meaning there are four, 5's. 5, 5, 5, 5.
The mode of a data set, is the number that appears the most often.
So, we can see that the 5 has the most x's, we know that 5 apears the most. Making 5, the mode.
Please help me with this trigonometry question. Brainliest available.
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
Holly and Mark plan to use their holiday bonuses to buy a used car for $3,300. Holly's bonus is 62% of the car's price. Mark's bonus is 0.54 of the car's price. What is the total amount of the bonuses Holly and Mark will receive? Help pls
Sorry I had to take down the answer, I might be wrong.
which number has the least value? (a) 5.61 (b) 16.5 (c) 56.1 (d) 51.6
Answer:
(a) 5.61
Step-by-step explanation:
Rearrange from smallest to largest:
☟︎︎︎
5.61 < 16.5 < 51.6 <56.1
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:
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
.
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:
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
a rectangle with a length of 28 and perimeter of 64 what is the width and what is the area
please help me outt on this round to nearest tenth
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:
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.
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
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
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
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 !!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
what is the greatest ten you can multiply by 2 to get close to but not over 58?
Answer:
20
Step-by-step explanation:
20 x 2 =40
40 is under 58 and the closest to 58
the next 10 is 30 and 30 x 30 is over 58 with 60
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
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
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
(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:
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]
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: 0.40Tess, 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