Answer:
540 in2
Step-by-step explanation:
18×3=54×10=540
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x = −
9
/25
Decimal Form:
x = −
0.36
I hope this helps! Have a great day!
There are six sides or faces of a cube, each measuring 20 inches. If even numbered sides are covered with red fabric, then a total of 60 inches of red fabric was used. This is based from 3 even numbered sides multiplied to 20 inches as a measurement of each side.
Put 5 where n is in the formula and do the arithmetic. I find it convenient to rewrite the formula to make evaluation simpler.
... matches the 2nd choice
Answer:
276 feet
Step-by-step explanation:
The best way to do this is to complete the square, which puts the quadratic in vertex form. The vertex of a negative parabola, which is what this is, is the highest point of the function...the max value. The k coordinate of the vertex will tell us that highest value. To complete the square, we will first set the quadratic equal to 0, then move the constant over to the other side:
The rule for completing the square is that the leading coefficient must be a positive 1. Ours is a negative 16, so we have to factor out -16:
Now the next thing is to take half the linear term, square it, and then add it to both sides. Our linear term is 7, half of that is 7/2. Squaring 7/2 gives you 49/4. So we add 49/9 into the parenthesis on the left. However, we can't forget that there is a -16 out front there that refuses to be ignored. We have to add then (-16)(49/4) onto the right:
The purpose of this is to create a perfect square binomial that serves as the h value of the vertex (h, k). Stating that perfect square on the left and doing the addition on the right:
Now we finalize by moving the constant back over and setting it back equal to y:
The vertex is
That translates to "at 3.5 seconds the particle is at its max height of 276 feet".
