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nordsb [41]
2 years ago
14

The first three steps for completing the square to solve a quadratic equation are shown. What number goes in the boxes to comple

te the third step?

Mathematics
2 answers:
Korolek [52]2 years ago
7 0

9514 1404 393

Answer:

  C.  16

Step-by-step explanation:

The x-coefficient is -8. Half that is -4. The number that goes in the boxes is the square of -4: (-4)² = 16.

_____

It can help to keep in mind what the square of a binomial looks like:

  (x -a)² = x² -2ax +a²

The coefficient of x is -2a. The constant is the square of half that (-2a/2)² = a².

Blababa [14]2 years ago
4 0

Answer:

16

Step-by-step explanation:

The x-coefficient is -8. Half of -8 is -4. The number that goes in the boxes is the square of -4: (-4)² = 16.

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A man burns 10 calories per minute mountain biking and 7.5 calories per minute in-line skating. His goal is to burn approximatel
Ipatiy [6.2K]
A.) 10x + 7.5 (0) =420
10x = 420
420 / 10 = 42

x = 42 > ( 42,0 )

10(0) + 7.5y = 420
7.5y = 420
420 / 7.25 = 56

y = 56 > ( 0,56 )

(42,0) (0,56)

B.) The x intercept means that there was 42 ,minutes spent biking. The y intercept means that there was 56 minutes spent in line skating.

C.) (21 ,28) - (14,37) - (28,18)
8 0
3 years ago
What is the answer to /4= 28; = 116
exis [7]

Answer:

x = 116?

Step-by-step explanation:

8 0
3 years ago
Can a triangle have angle measures as 140,43, and 7
Mariulka [41]

The angles in a triangle always add up to exactly 180 degrees.  To see if this can be a triangle, add up the given angle measures.  If the sum is not 180, then it cannot be a triangle.

140+43+7=190

A triangle CANNOT have the angles measures as 140, 43, and 7.

Hope this helps!!

3 0
3 years ago
To create a giant gemstone, sara first made two identical square pyramids that each had a base area of 100 square inches. Then s
inysia [295]

Answer:

8 inches.

Step-by-step explanation:

From the statement we have that they first made two identical square pyramids, each with a base area of 100 square inches.

Ab = s ^ 2 = 100

Therefore each side would be:

s = (100) ^ (1/2)

s = 10

So, side of the square base = 10 inches

Then they tell us that they glued the bases of the pyramids together to form the precious stone. The surface area of the gemstone is 520 square inches, so for a single pyramid it would be:

Ap = 520/2 = 260

For an area of the square pyramid we have the following equation:

Ap = 2 * x * s + s ^ 2

Where x is the height of each triangular surface and s is the side of the square base

Replacing we have:

260 = 2 * x * 10 + 10 ^ 2

20 * x + 100 = 260

20 * x = 160

x = 160/20

x = 8

Therefore, the value of x is 8 inches.

5 0
3 years ago
How many miles can the car travel using 9 gallons of gasline
Igoryamba

Answer:

Great question! First find the rate: 240 miles/9 gallons = 26.7 miles/gallon. So this means Reuben can drive 26.7 miles per 1 gallon.

Step-by-step explanation:

Let me know if you have any questions!

5 0
2 years ago
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