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:
boop boop bow bow
Step-by-step explanation:
bleep bleep bow bing
Answer:
0.833 feets
Step-by-step explanation:
Given that:
Volume of box = 1600
Heigh of box (H) = 8 inches
Let:
Width of box (W) = x
Length of box (L) = 2x
Volume of box = (Height * width * length)
1600 = (8 * x * 2x)
1600 = 16x²
x² = 1600/16
x² = 100
x = sqrt(100)
x = 10 inches
Hence, width of box in feet:
1 inch = 0.0833 feets
10 inches = (10 * 0.0833) feets
= 0.833 feets
Each of the following correctly match an English phrase with a mathematical expression except _____.
<span>A) a number times seven, 7x </span>
<span>B) a number subtracted from seven, 7 - x </span>
<span>C) the sum of a number and seven, 7 + x </span>
<span>D) a number divided by 7, 7/x
if this is ur question...answer is D...should be x/7</span>
6x - 3 = -51
add 3 to both sides
6x = -48
divide by 6 to both sides
× = -8