Answer:
7 over 10 and 7,10
Step-by-step explanation:
Answer: QE = 10
Step-by-step explanation: To solve this problem, it's important to understand that the diagonals of a parallelogram bisect each other.
This means that E is the midpoint of diagonal SQ.
So we can setup the equation x² + 9x = 4x + 6.
To solve this polynomial equation, set it equal to zero first.
So we have x² + 5x - 6 = 0 and we get (x + 6)(x - 1) = 0
when we factor the left side of the equation.
So this means that x = -6 or x = 1.
However, -6 will give us a negative length when we plug it in
to find QE so this will not work.
However, plugging 1 in will give us 10 as a length so QE = 10.
Answer:
The answer is the first choice.
Step-by-step explanation:
We can eliminate choices 2 and 4 because the y-intercept is wrong. The line passes through the y-axis at 3, so you would add 3 after the slope. Now we have choices 1 and 3. Choice 1 is y=-4/5x+3 and choice 3 is y=4/5x+3. When we do rise over run, we can use the points (0,3) and (5,-1). We get -4/5. Therefore, the answer is choice 1.
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Answer:
f(5) = 136.71875
Step-by-step explanation:
f(5) if f(1)=3.5 and f(x+1)=5\2 f(x)
f(2) = (5/2)* f(1) = (5/2)* 3.5 = 8.75
f(3) = (5/3)*f(2) =(5/2) * 8.75
f(4) = (5/3)*f(3) =(5/2)*(5/2) * 8.75
f(5) = (5/3)*f(4) = (5/3)*(5/2)*(5/2) * 8.75
f(5) = (5/2)^4 * 3.5 = (625/16) * 3.5 = 136.71875
f(5) = 136.71875
The maximum amount of supplies that the storage unit can hold is 28 ft³
<h3>How to calculate the volume of a rectangular prism?</h3>
For us to calculate the volume or amount of space in Evan's prism, we will first of all calculate the volume of rectangular prisms. Formula is;
V = Length × width × height.
We are given;
length = 4 feet
width = 3.5 feet
height of the prism = 2 feet.
Thus;
V = 4 * 3.5 * 2
V = 28 ft³
Thus, the maximum amount of supplies that the storage unit can hold is 28 ft³
Read more about Volume of Rectangular Prism at; brainly.com/question/4062480
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