Answer:
D)Yes. The rectangle can have P = 60 and L = 18 because P = 2(18) + 2(12) would equal 60
Step-by-step explanation:
The formula for the perimeter of a rectangle is
.
If the width is
and the length is
, then the perimeter becomes:
.
.
.
Therefore the answer is
D)Yes. The rectangle can have P = 60 and L = 18 because P = 2(18) + 2(12) would equal 60
Answer:
n + q = 20
5n + 25q = 300 or 0.05n + 0.25q = 3
Step-by-step explanation:
You know that you have some nickels and some quarters, and together there are 20 coins. So if n represents the number of nickels, and q represents the number of quarters, you can use this equation:
n + q = 20
You also know that together the coins total three dollars. We know that a nickel is worth 5 cents and a quarter is worth 25. So if n and q still represent the number of each type of coin, we can use this equation:
5n + 25q = 300
or
0.05n + 0.25q = 3
The reason I said 300 in the first equation is because you are counting the number of cents. There are 300 cents in 3 dollars.
Answer:
51 meters
Step-by-step explanation:
to solve scale multiply the scale measurement (3) by the drawing (17).
3 X 17 = 51 and make sure to use the correct unit (meters) that the drawing states.
Answer:
B. 0 ≤ x ≤ 6
Step-by-step explanation:
The horizontal grid lines are 10 °C apart, so 45 °C corresponds to a vertical position halfway between the 4th grid line and the one marked 50.
The graph intersects that position at the 2nd vertical grid line. The vertical grid lines are 3 minutes apart, so the 2nd grid line represents 6 minutes.
If Peter conducted the experiment from its start until the temperature reached 45 °C, he conducted it over a period of 0 to 6 minutes, inclusive:
0 ≤ x ≤ 6
Answer:f(x) = a(x – h)² + k
we know the vertex v(5,3)
substitute in the values for h and k
f(x) = a(x – 5)² + 3
Use another point and substitute in values for x and f(x).
for the point (6,5)
Solve for a.
5 = a(6 – 5)2 + 3-------------- > 5=a+3-------------> a=2
The function is f(x)=a(x – h)2 + k-------- > 2(x – 5)² + 3
f(x)= 2(x – 5)² + 3-------- > 2[x²-10x+25]+3=2x²-20x+50+3=2x²-20x+53
f(x)=2x²-20x+53
the answer is f(x)= 2(x – 5)² + 3----------------- > (f(x)=2x²-20x+53)
Step-by-step explanation: