Graph the circle x2 + y2 – 2x – 80 = 0
Answers
x2+y2−2x−80=0
Write the problem as a mathematical expression.x2+y2−2x−80=0
Add 80 to both sides of the equation. x2+y2−2x= 80 Complete the square for x2− 2x. Tap for more steps...(x−1)2−1 Substitute (x−1)2−1 for x−2x in the equation x2+y2−2x =80 .(x−1)2−1+y2=80 Move −1 to the right side of the equation by adding 1 to both sides.(x−1)2+y2=80+1Add 80 and 1.(x−1)2+y2=81
This is the form of a circle. Use this form to determine the center and radius of the circle.(x−h)2+(y−k)2=2Match the values in this circle to those of the standard form. The variable r represents the radius of the circle, h represents the x-offset from the origin, and k represents the y-offset from origin.r=9h=1k=0 The center of the circle is found at (h,k). Center: (1,0)These values represent the important values for graphing and analyzing a circle. Center: (1,0)Radius: 9
Related Questions
The fourth term of an exponential sequence is 108 and the ratio is 3 . Calculate the value of the eighth term of the sequence, calculate the sum of the first five terms of the sequence.
Answers
Answer:
8th term = 8748 , Sum of 5 terms = 484
Step-by-step explanation:
Formula for nth term in an exponential sequence = a r^ (n-1)
Here : n = 4 , ratio r = 3 ; And nth ie 4th number = 108
So, a r^ (n-1) = nth item implies that → a 3 ^ (4-1) = 108
a 3^3 = 108 → 27 a = 108 → a = 108 / 27 → a = 4
8th term = a r^ (n-1) , at n = 8. So, = 4 3^(8-1) = 4 3^7 = 4 x 2187 = 8748
Sum of n terms = a [(r^n) -1 ] / [r - 1] → Sum 5 terms = 4 [ (3^5)- 1] / [3 - 1]
= 4 [ (243) - 1] / 2 ] = 2 x 242 = 484
Can someone please help me
Answers
Hope this helps
Please answer the following question:
Answers
Answer:
99 cm²
Step-by-step explanation:
1/2 BH
1/2 18 x 11
9 x 11
99
Does anyone know how to solve this?
Answers
Answer:
[tex]f(6) = \frac{6 {}^{2} - 2.6 - 8}{6 {}^{2} - 14.6 + 45} = \frac{16}{ - 3} = \frac{ - 16}{3} [/tex]
A jewelry designer sells bead necklaces in a local farmer's market. The profit P that she makes from selling x necklaces is given by P = −x2 + 35x. What is the least number of her necklaces she must sell to make a profit of $300.00?
Answers
Answer:
15
Step-by-step explanation:
Given that the profit equation from selling x necklaces is
P = −x2 + 35x.
To make a profit of $300, the profit P = 300 then
300 = -x2 + 35x
x2 - 35x + 300 = 0
solve by factorization
x2 - 15x - 20x + 300 = 0
x(x - 15) - 20(x - 15) = 0
(x - 15)(x - 20) = 0
x - 15 = 0 or x - 20 = 0
x = 15 or 20
Since 20 is higher, the least number of her necklaces she must sell to make a profit of $300.00 is 15
-4/5x =8 give me solution pls
Answers
Answer:
x = - 10
Step-by-step explanation:
Given
- [tex]\frac{4}{5}[/tex] x = 8 ( multiply both sides by 5 to clear the fraction )
- 4x = 40 ( divide both sides by - 4 )
x = - 10
Answer:
x= -1/10
Hope this helps
What Is the Title
of This Picture?
Answers
Use FOIL to distribute and simplify the binomial product.
(3h - 7)(3h -6)
NO LINK ANSWER!
Answers
Answer:
h = 7/3 and 2
Step-by-step explanation:
9h² - 18h - 21h + 42
9h² - 39h + 42
factors are:
(3h - 7)(3h - 6)
h = 7/3 and 2
9h^2-39h+42
Explanation
3hx3h-3hx6-7x3h-7x(-6)
9h^2-18h-21h+42
9h^2-39h+42
What is the unit rate at which the boy walked?
Answers
miles per hour, blinks per second, calories per serving, steps per day and heart beats per minute.
2x + 5y = 10
i need the slope and y-intercept
Answers
Then you have to find the x intercept (2x=10 and or x=5) then it’s just run over rise (2/5)
Answer:
Slope: [tex]-\frac{2}{5}[/tex]
Y-intercept: 2
Step-by-step explanation:
We have to isolate y;
2x + 5y = 10
5y = -2x + 10
y = [tex]\frac{-2x + 10}{5}[/tex]
y = [tex]-\frac{2}{5} x + 2[/tex]
Hope this helps!
What is the answer to this?-
Answers
Answer:
yes, by SAS
Step-by-step explanation:
cause the GI and JL are congruent and the same for HG and LK
Which equation is represented by the graph below?
10
10 8 5-4-2
2
В
8
10X
10
0 x = 2 x - 3
O y=x-9
Answers
April has 5 milligrams of zinc and 0.25 milligrams of copper. How much more zinc does she have than copper?
Answers
Answer:
the answer is 4.75
Step-by-step explanation:
5-0.25=4.75
Which is a monthly summary of all your checking account transactions?
A.
a check leaf
B.
a check register
C.
a bank statement
Answers
I think it is that one
Answer: A Bank Statement
Step-by-step explanation:
used to own bank account
SIMPLE SEVENTH GRAD EMATH PROBLEM GOVING BRAINLIEST.
Answers
Answer:b
Step-by-step explanation:
iys b i promise
An angle measures 150° less than the measure of its supplementary angle. What is the
measure of each angle?
Answers
if you can, answer at least 2 question I put 10 points on it
Answers
Answer:
a) one solution(x = 9)
b) no solution
c) infinite solutions
Step-by-step explanation:
a) To solve this equation, we can add 4 on both sides in order to isolate x:
x - 4 =5
+ 4 + 4
x = 9
Since x equals 9, that counts as only one solution, as there is only one value of x that makes the equation true.
b) We start by subtracting 2x from both sides to combine the variable terms:
2x - 6 = 2x + 5
-2x -2x
-6 = 5
The statement, -6 = 5 is never true and it is not dependent on the value of x. This means there are no solutions to this equation.
c) We can start by subtracting 3x from both sides to combine the terms with x:
3x + 12 = 3x + 12
-3x -3x
12 = 12
The statement above is always true, and no matter the value of x, it will always be true. This means there are infinite solutions to the equation.
I need help simplifying this
Answers
Answer:
n^2
Step-by-step explanation:
cancel the common factor between n^7 and n^2
2500 in standard form
Answers
2500 in standard form is 2.5 × 10³
Answer:
2.5*10^3
Step-by-step explanation:
Each side of a square is 62/3 m long. Find its Area
Answers
Answer:
=> (62/3)m
Step-by-step explanation:
=> (62/3)²
=> (62)²/(3)²
=> 3844/9 m²
Answer:
427.11111
Step-by-step explanation:
This is the answer
sin∅ (csc∅ -sin∅ ) simplify
Answers
Answer:
1+sin²Θ
Step-by-step explanation:
sin[tex]\alpha[/tex](cosec[tex]\alpha[/tex]-sin[tex]\alpha[/tex])
=sin[tex]\alpha[/tex]( [tex]\frac{1}{sin \alpha }+sin\alpha[/tex])
[tex]=sin\alpha (\frac{1+sin^{2} \alpha }{sin\alpha } )\\1+sin^{2} \alpha[/tex]
A student believes that a certain 6-sided number cube, with the numbers 1 to 6, is unfair and is more likely to land with a 6 facing up. The student rolls the cube 100 times and lands with 6 facing up 20 times. The P-value for the test of the hypotheses, H0:p=0.17 and Ha:p>0.17, is 0.19. What is the correct conclusion given a=0.05?
Because the P-value is less than a=0.05, the student should reject H0.
Because the P-value is less than a=0.05, the student should reject H0.
Because the P-value is greater than a=0.05, the student should reject H0.
Because the P-value is greater than a=0.05, the student should fail to reject H0.
Answers
Answer:
third one
Step-by-step explanation:
To find the p-value of a data set, we can use the rejection region data to predict where the answer will lie.
P-ValueTo find the p-value of this data set, let's write out the data given in the question.
Data;
H_o = p = 0.17Ha = p>0.17Technically, the p-value is greater that the Ha and this affect the data significantly.
Since the p-value is greater than the ha value, we can accept that the value of H_o and assume the student will reject the H_o
The answer to this question is option D
learn more on p-value here;
https://brainly.com/question/4621112
James cut out four parallelograms, the dimensions of which are shown below. Parallelogram 1 length: 12 in. width: 15 in. diagonal: 20 in. Parallelogram 2 length: 16 in. width: 30 in. diagonal: 34 in. Parallelogram 3 length: 20 in. width: 21 in. diagonal: 29 in. Parallelogram 4 length: 18 in. width: 20 in. diagonal: 26 in. James put the parallelograms together so one vertex from each paper exists on a point, as shown in the circle. 4 parallelograms are put together so that one vertex from each paper exists on a point. Which statement explains whether or not the parallelgrams can be put together so each occupies one-quarter of the area of the circle without overlapping any other pieces? Check all that apply. The quadrilaterals can be placed such that each occupies one-quarter of the circle. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 1 do not form right angles. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 2 do not form right angles. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 3 do not form right angles. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 4 do not form right angles.
THE ANSWER IS B AND E
Answers
Answer:
B and E
Step-by-step explanation:
edge 2021
Answer:
b e
Step-by-step explanation:
An item sells for $40. The sales tax on
the item is 8%. What is the sales tax and
total cost?
Tax
Total
Answers
Answer:
sales tax is $3.2 ans total is $43.2
Step-by-step explanation:
What number is 0.01 more than 253.498?
Answers
Answer:
1/64
Step-by-step explanation:
Doing it by hand, I get that the number is 1/16 which is equal to 0.0625 and the previous one will be 1/8 which is 0.125.
In the formula given by others, if you apply the 12 to it you will get an=2(5-12)which is equal to 0.0078, less than 0.100 but not the first number.
The correct value for n is 9 that will give us 2-4=1/16
253.508 is 0.01 more than 253.498.
What is Number system?A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.
It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures.
Let the number be x
so,
x=253.498+0.01
x= 253.508
Learn more about concept here:
brainly.com/question/14491091
#SPJ2
Number of offspring and weight, in pounds, of 23 randomly selected rabbits are compared. Which significance test should be used to see if number of offspring and weight have a linear relationship? Assume all test conditions are met. (4 points)
Answers
Answer:
t test for the slope of regression line
Step-by-step explanation:
Suppose a random sample is drawn from the bivariate normal population and the estimated regression equation is found Y^= a +bX , where, b , the sample estimate of β1 is normally distributed with mean β and standard deviation
σyx / √∑(x-x`)².
The test statistic has t distribution where
t= b-β/sb
where sb= Syx / √∑(x-x`)² with υ= n-2 degrees of freedom.
It is important to note that the testing of hypothesis that β= 0 is equivalent to testing the hypothesis that variable Y is independent of the variable X in the linear sense.
The test statistic then becomes t= b/ sb .
If we reject H0 : β= 0 we conclude that the two variables are linearly independent.
A hemispherical tank is filled with water and has a diameter of 12 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?
Answers
Answer:
The total weight = 1286 × 62.4 = 80246 pounds.
Step-by-step explanation:
The formula of the volume of the sphere is
V = 4/3×π×r³
Given
d = 17 feet
d = 2r
r = d/2 = 17/2 = 8.5 feet
V = 4/3×π×r³
Since we need half of the volume as it is a hemispherical tank.
= 1286 ft³
Given that the weighs 62.4 pounds per cubic foot
Thus, the total weight = 1286 × 62.4 = 80246 pounds.
Mr. Garner purchased a party hall and wants to repaint it as part of the renovations. He needs to calculate the lateral surface area of the party hall so that he will know how much paint to buy. The party hall is in the shape of a rectangular prism with the dimensions shown below.
Including the doors, what is the lateral surface area of the party hall in square feet?
1,904 ft2
1,860 ft2
3,764 ft2
14,280 ft2
Answers
Answer:
The lateral surface area is: 1860 square feet
Step-by-step explanation:
Given
The missing dimension are:
See attachment for storage
[tex]L = 20[/tex] --- Length
[tex]W = 42[/tex] --- Width
[tex]H = 15[/tex] --- Height
Required
The lateral surface area
The lateral area is calculated as:
[tex]Area = 2 * H * (L + W)[/tex]
So, we have:
[tex]Area = 2 * 15 * (20 + 42)[/tex]
[tex]Area = 30 * (20 + 42)[/tex]
[tex]Area = 30 * 62[/tex]
[tex]Area = 1860[/tex]
Find the measure of one interior angle of an 12-
gon. (1 point for work, 1 point for correct answer)
Answers
Answer:
150
Step-by-step explanation:
Each interior angle in a polygon is (n-2)×180 ÷n
(12-2)×180/12
[tex]10 \times 180 \div 12 \\ 10 \times 15 \\ 150| [/tex]
300 miles divided by 6 hours
Answers
Answer:
50 miles because yahhh
Step-by-step explanation:
300 ➗ 6