Multiple both ratios by a least common denominator
the least common denominator for both is 15
multiply the first ratio by 3/3
9/15=9/15
both are equal because when multiplying by the least common denominator you get the same answer
Answer:
Step-by-step explanation:
Question (1)
x² + 10x + 12
= x² + 2(5x) + 5² - 5² + 12
= [x² + 2(5x) + 5²] - 5² + 12
= (x + 5)² - 25 + 12 [Since, a² + 2ab + b² = (a + b)²]
= (x + 5)² - 13
Question (2)
y² - 6y - 15
= y² - 2(3y) - 15
= y² - 2(3y) + 3² - 3² - 15
= [y² - 2(3y) + 3²] - 3² - 15 [Since, a² - 2ab + b² = (a - b)²]
= (y - 3)² - 3²- 15
= (y - 3)² - 9 - 15
= (y - 3)² - 24
Answer:
The Triangle Is A Right Triangle Because 5^2 + 12^2 = 13^2.
Step-by-step explanation:
5^2 = 25. 12^2 = 144. With the Pythagorean theorem, (a^2 + b^2 = c^2), 5 is a, 12 is b, and 13 is c.
25 + 144 = 169.
13 ^ 2 = 169.
Since a^2 + b^2 = c^2 is true, the triangle is a right triangle.
First, the area of the pizza then double it.
Area for a circle: Area =

* r^2
Plug in the values.
We will use 3.14 for

.
We need the radius. So half the diameter to get the radius.
18 / 2 = 9
Area = 3.14 * 9^2
Area = 3.14 * 81
Area = <span>254.34
</span>
Then multiply 2 to get the double the area.
254.34 * 2 = <span>508.68
</span>
So, the answer to this question is <span>D. 508.68 in. 2.</span>