Answer:
D
Step-by-step explanation:
To obtain vertex form from the given equation use the method of completing the square
given 8y + x² = - y² - 181 + 26x
rearrange having the x terms and y terms together
add y² to both sides
8y + x² + y² = - 181 + 26x ( subtract 26x from both sides )
x² - 26x + y² + 8y = - 181
add (half the coefficient of the x/y terms )² to both sides
x² + 2(- 13)x + 169 +y² + 2(4)y + 16 = - 181 + 169 + 16
completing the square on both the x and y terms
(x - 13)² + (y + 4)² = 4 → D
Answer:
height = 12 cm
Step-by-step explanation:
Parallelogram 1:
Area = base *height = 20 * 15 = 300 sq. cm
Area of parallelogram 2 = area of parallelogram 1
25 * height = 300
height = 300/25
height = 12 cm
120 percent=120/100=60/50=30/25=6/5, So it simplifies to 6/5.
The kangaroo's speed in feet per second is 58.67 feet per second
<h3>What was the kangaroo's speed in feet per second?</h3>
The speed is given as:
Speed = 40 mph
Rewrite properly as
Speed = 40 miles per hour
1 mile = 5280 feet
So, we have
Speed = 40 * 5280 feet per hour
Evaluate
Speed = 211200 feet per hour
1 hour = 3600 seconds
So, we have:
Speed = 211200 feet per 3600 seconds
Evaluate the quotient
Speed = 58.67 feet per seconds
Hence, the kangaroo's speed in feet per second is 58.67 feet per seconds
Read more about speed at:
brainly.com/question/4931057
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A milliliter is a thousandth of a liter. 1,000 milliliters (mL) are in a liter. So, multiply 0.1 by a thousand to find the answer. The answer is 100.
