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3 years ago

Find the value of c that completes the square

Mathematics

1 answer:

Kitty [74]3 years ago

8 0

Answer:

c = 64

Step-by-step explanation:

Given

x² - 16x + c

To complete the square

add ( half the coefficient of the x- term )² to x² - 16x

x² + 2(- 8)x + 64

= (x - 8)²

Thus

x² - 16x + 64 = (x - 8)² ← a perfect square

with c = 64

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Aleks04 [339]

You didn’t put the math problems for us to answer the questions

4 0

2 years ago

Find the area of the region shaded in green. Use 3.14 to approximate pi.

8090 [49]

Answer:

254 cm² (to 3 s.f.)

Step-by-step explanation:

Area of shaded region

= area of large circle -area of smaller circle

$\boxed{area \: of \: circle = \pi {r}^{2} }$

Radius of large circle= 15cm

Radius of smaller circle= 12cm

Area of shaded region

= π(15²) -π(12²)

= 225π -144π

= 81π

= 81(3.14)

= 254.34

= 254 cm² (3 s.f.)

3 0

3 years ago

Which set of angles can form a triangle

kow [346]

Answer is c explanation

7 0

3 years ago

Read 2 more answers

Mabel, Adeline and Charlie share 34500ft2 of land Mabel ownes 26%of the land area and Adeline Owens 47% of the land area . What

NikAS [45]

Answer:

Charlie owns 9,315 ft2 of the land area

Step-by-step explanation:

There are 34,500 ft2 of land shared between Mabel, Adeline, and Charlie.

Mabel owns 26% of the land area, that is:

26*34,500 ft2 / 100 = 8,970 ft2

Adeline owns 47% of the land area, or:

47*34,500 ft2 / 100 = 16,215 ft2

The land owned by Mabel and Adeline is: 8,970 ft2 + 16,215 ft2 = 25,185 ft2

Since the total area land is 34,500 ft2, Charlie owns:

34,500 ft2 - 25,185 ft2 = 9,315 ft2

Charlie owns 9,315 ft2 of the land area

4 0

3 years ago

Y= 3x+7 y = -2x-3 What would be the x and y for that solution

alexandr402 [8]

Answer:

So if we are solving for x and y. First we need to subtract both equations. We take each equation and put in parenthesis and subtract.

y-y = (3x+7)-(-2x-3) =

0 = 3x+7+2x+3

0 = 5x+10

-10 = 5x

-2 = x.

Now we need to solve for y.

Plug it in for the first equation. -2*3+7 = -6+7 = 1

Test if we are correct and try in the second equation.

-2*-2-3 = 4-3 = 1

x = -2

y = 1

6 0

3 years ago