<em><u>Answer:</u></em>
<u>x = 1, XZ = 48</u>
<em><u>Step-by-step explanation:</u></em>
So you already have the diagram with the number labeled,
4(x + 5) and 2(x + 11)
We know that Y is the midpoint between X and Z so we know that XY = YZ:
4(x + 5) = 2(x + 11)
Let's solve the equation for x:
4x + 20 = 2x + 22 (Distributive Property)
Subtract 20 from both sides:
4x = 2x + 2
Subtract 2x from both sides:
2x = 2
Divide both sides by 2:
<u>x = 1</u>
<u />
So now we know that x = 1, we want to find XZ:
XZ = 4(x + 5) + 2(x + 11)
We can plug in x (1):
XZ = 4(1 + 5) + 2(1 + 11)
Simplify:
XZ = 4(6) + 2(12)
XZ = 24 + 24
<u>XZ = 48</u>
Building and solving an equation to model the situation, it is found that it will take 1.52 seconds for the balloon to drop to below 465 feet.
- The initial height is of 1550 feet.
- Each second, the height decreases by 712 feet.
Hence, the equation that models the height of the balloon after t seconds is:
To find how many seconds, s, will it take for the balloon to drop to below 465 feet, we have to find <u>t for which h(t) < 465</u>, hence:
It will take 1.52 seconds for the balloon to drop to below 465 feet.
A similar problem is given at brainly.com/question/25290003
Answer:
i is always positive
Step-by-step explanation:
if be multiply 3 by 3 and get 9, then you multiply -2i by 2i and get -4i squared
9-4i^2 is now easy to solve unless we do now know the value of i, but since i is squared, i is always positive
