Answer:
The answer to your question is the letter a.
Step-by-step explanation:
Data
x² + 12x + c
If this trinomial is a perfect square trinomial, the third term must be half the second term divided by the square root of the first term, and to the second power.
-Get half the second term
12x/2 = 6x
-Divide by the square root of the first term
6x/x = 6
-Express the result to the second power
6² = 36
-Write the perfect square trinomial
(x² + 12x + 36) = (x + 6)²
Answer:
she earned 36$ and the store earned 409.5
Step-by-step explana
8% of 450
91% of 450
Megan has 40 dollars sense charlene has 8 more dollars and the both have 86
Answer:
a) -3 gallons per hour
b) y = -3x +14
Step-by-step explanation:
Rate of change is computed by dividing the amount of change by the interval over which it occurred.
<h3>a)</h3>
Here the amount of gas decreased from 14 to 2 gallons, so a decrease of 14-2 = 12 gallons. That occurred over a 4-hour period, so the rate of change is (-12 gallons)/(4 hours) = -3 gallons/hour.
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<h3>b)</h3>
The initial amount was 14 gallons, so the equation for the line describing remaining gas will be ...
y = -3x +14 . . . . gas in the tank after x hours
Answer:
30
Step-by-step explanation:
This problem can be done without the Distance Formula (which is a way to find the distance between any two points in the plane).
The attached image shows the points and segments joining them.
PQ = 5 because the points are on the same horizontal line, and you can count spaces between them (or subtract x-coordinates: 4 - (-1) = 5).
PR = 12 because the points are on the same vertical line; count spaces or subtract y-coordinates, 7 - (-5) = 12.
The triangle is a right triangle, so the Pythagorean Theorem can be used to find the length of the hypotenuse.
The perimeter of the triangle is 5 + 12 + 13 = 30
