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NeTakaya
3 years ago
13

Lauren bought television that cost $805. She plans to make equal payments of $38 each month until the television is paid in full

. About how many payments will Lauren make?
Mathematics
1 answer:
Softa [21]3 years ago
7 0
22 payments it will take in order to pay the full amount.
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A circle is centered at the point (5, -4) and passes through the point (-3, 2).
Sedbober [7]

Answer:

The equation of the circle is (x + -5)² + (y + 4)² = 100

Step-by-step explanation:

* Lets revise the standard form of the equation of the circle

- If the center of the circle is point (h , k) and the length of its radius is r,

 then the equation of the circle is (x - h)² + (y - k)² = r² in standard form

* Now lets solve the problem

- The center of the circle is point (5 , -4)

∴ h = 5 and k = -4

∴ The equation of the circle is (x - 5)² + (y - -4)² = r²

∴ The equation of the circle is (x - 5)² + (y + 4)² = r²

- The circle passes through the point (-3 , 2)

- To find r substitute the x-coordinate and the y-coordinate of the

  point in the equation of the circle

∵ Point (-3 , 2) is on the circle

∴ x = -3 and y = 2

∴ (-3 - 5)² + (2 + 4)² = r² ⇒ simplify it

∴ (-8)² + (6)² = r² ⇒ solve power 2

∴ 64 + 36 = r² ⇒ add the like terms

∴ 100 = r²

∵ The equation of the circle is (x - 5)² + (y + 4)² = r²

∴ The equation of the circle is (x - 5)² + (y + 4)² = 100

- To complete the form

∴ The equation of the circle is (x + -5)² + (y + 4)² = 100

8 0
3 years ago
What's the value of y
Lera25 [3.4K]
W + y + v + 88 = 180
22 + y + 43 + 88 = 180
y = 27
7 0
3 years ago
What is the appoximate distance between T and U? round your answer to the nearest hundreth
tresset_1 [31]
Answer: 3.16


The first point, T = (x1,y1), and the second point, U = (x2,y2). Can be approximated as 3.16,so the distance between the two points is 3.16 units.
3 0
3 years ago
HELP ME PLEASE I REALLY NEED HELP!? :(
Aleksandr [31]
Just answers since long and many simplifiction
it's like doing those multiplication memory things that had like 100 questions but now with algebra fractions

5. fourth or \frac{5x-15}{x^{2}-3x-28}
6. third or\frac{4x+25}{x^{2}+5x+4}
7.the answe ris x+3 since it can be factored out of the 5x+15 tingie (second )
8. fourth or \frac{x^{2}+4x}{4}
9. fourth or \frac{2y+6}{9y-7} times \frac{3}{2}
10. third or \frac{(x+3)(x+8)}{(x-8)(x-8)}
11. second or \frac{x-5}{x-4}
12. third or 11(x+7)=60
5 0
3 years ago
What is the justification for each step in the solution of the equation?
Alexandra [31]

For this case we have the following equation:

\frac{2}{3}x-\frac{1}{3}= 2 (x + 2)\\

If we multiply both sides of the equation by 3 we get:

2x-1 = 6 (x + 2) ---> Multiplication Property of Equality

Applying the distributive property we have:

2x-1 = 6x + 12 ---> Distributive Property

Adding 1 on both sides of equality we have:

2x-1 + 1 = 6x + 12 + 1\\

2x = 6x + 13 ---> Addition Property of Equality

Subtracting 6x on both sides we have:

-6x + 2x = 6x-6x + 13\\

-4x = 13 ---> Subtraction Property of Equality

Finally, dividing by -4 on both sides we have:

\frac{-4x}{-4}= \frac{13}{-4}\\

x = -\frac{13}{4}---> Division Property of Equality


5 0
3 years ago
Read 2 more answers
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