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3 years ago

Complete the square to rewite y=x^2-6x+15

Mathematics

1 answer:

mixer [17]3 years ago

4 0

$y = {x}^{2} - 6x + 15 \\ y = {x}^{2} - 3.2x + {3}^{2} + 15 - 9 \\ y = {(x - 3)}^{2} + 6$

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3 years ago

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A triangle has sides with lengths of 6 inches, 13 inches, and 17 inches. Is it a right triangle?

Tems11 [23]

Answer:

Nope

Step-by-step explanation:

To now if a triangle is a right angle, use Pythagoras Theorem,

a^2 + b^2 = c^2

C usually be the longest side of the triangle, C = 17

Then also let a and b be 6 and 13 respectively.

6^2 + 13^2 =205

C^2 = 205

C = sqrt(205) = 14.32

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2 years ago

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3 years ago

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What is the exact circumference of the circle?

fredd [130]

Data:

Formula: diameter = 2*radius

Formula: (Circle length)
 $C = 2* \pi *r$

Solving: Using the data
diameter = 2*radius
20 = 2*r
2r = 20
$r = \frac{20}{2}$
$\boxed{r = 10\:ft}$

Now, replace in the circumference length formula
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$C = 2 \pi *10$
$\boxed{\boxed{C = 20 \pi \:ft}}\end{array}}\qquad\quad\checkmark$

Answer:
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