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juin [17]
4 years ago
10

Amira is solving the equation x^2-8x=7. Which value must be added to both sides of the equation to make the left side a perfect-

squared trinomial?
Mathematics
1 answer:
ivolga24 [154]4 years ago
8 0

Answer:

  16

Step-by-step explanation:

The constant in a perfect square trinomial is the square of half the coefficient of the linear term.

  (x +a)² = x² +2ax +a²

For 2a=-8, a=-4 and a² = 16. The constant 16 must be added:

  x² -8x +16 = 7+16 . . the left side is a perfect square trinomial

  (x -4)² = 23 . . . . . . . the left side is a perfect square

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An acute triangle has two sides measuring 8 cm and 10 cm. What is the best representation of the possible range of values for th
Lunna [17]

Answer:

Step-by-step explanation:

Method

The smallest the third side can be is something just larger than 2

You get 2 by subtracting10 and 8. The third side is just a bit larger. 8 and 2 will make up the length of 10 so you cannot use 2 itself

The largest value possible is just under 18. You get 18 by adding 8 and 10 together. So to get a triangle, you need just under 18.

Answer

2<s<18

A

6 0
2 years ago
How to solve 8(y-7) in digits
Maru [420]

Answer:

y = 7

Step-by-step explanation:

Equate the equation to equal 0.

8(y-7) = 0

Open up the bracket:

8y - 56 = 0

Add 56 to both sides:

8y = 56

Divide both sides by 8:

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4 0
3 years ago
The vertices of triangle PQR are given in the standard (x,y) coordinate plane below. What is the area, in the square coordinate
alekssr [168]

Answer:

Area = 12

Step-by-step explanation:

Given

See attachment

Required

Area of \triangle PQR

From the attached image, we have:

P = (6,10)

Q = (10,8)

R = (6,4)

The area is then calculated as:

A = \frac{1}{2}|(x1y2 - x2y1) + (x2y3 - x3y2) + (x3y1 - x1y3)|

So, we have:

A = \frac{1}{2}|(6*8 - 10*10) + (10*4 - 6*8) + (6*10 - 6*4)|

Using a calculator:

A = \frac{1}{2}|-24|

Remove absolute bracket

A = \frac{1}{2} * 24

A = 12

8 0
3 years ago
Circle H is shown. Line segments G H and J H are radii. The length of G H is 20. Angle G H J is 162 degrees. What is the area of
Flauer [41]

Answer:

180Pi

Step-by-step explanation:

I took the test and got it right

6 0
3 years ago
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If a rock climber climbs 60 feet in 4 minutes, what ratio represents the height the
Mariana [72]

Answer:

D

Step-by-step explanation

60/60 = 1

4/60 = 0.066....

1 foot would take 0.067 minute which would be 1/15

7 0
3 years ago
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