X = 101
Z = 30
Explanation:
A straight line is equal to 180 degrees. You see the angle equal to 79 is the opposite angle of x. 180 - 79 = 101.
You see that (3z - 11) is the same angle as the one equal to 79. So (3z - 11) = 79. So you think what minus 11 equals 79? 79 + 11 = 90. Now what times 3 equals 90? 90 divided by 3 = 30.
I know this explanation is probably confusing so let me know if I need to explain my explanation lol
Answer:
a = -1
Step-by-step explanation:
The line of symmetry for the parabola given by ...
y = ax² +bx +c
is
x = -b/(2a)
Using the given values, we have ...
-2 = -(-4)/(2a)
Multiplying by -a/2, we get ...
a = (4/2)(-1/2) = -1
The value of "a" is -1.
Answer:
When y=32, x=16.5
Step-by-step explanation:
Find x when y = 32, given that x varies inversely as y, and x = 132 when y = 4.
We are given:
x varies inversely with y
We can write it as: 

We have x = 132, when y=4
We can find value of k by using these values

We need to find x when y=32

So, when y=32, x=16.5
Given equation is

It can be written as follows.

Which is of the form

where a=3 and b=4.
We know that the coordinates of the vertices are (a,0) and (-a,0)
Substitute a=3, we get
The vertices are (3,0) and (-3,0).
We know that the coordinates of the foci are (c,0) and (-c,0)
![c=\sqrt[]{a^2+b^2}](https://tex.z-dn.net/?f=c%3D%5Csqrt%5B%5D%7Ba%5E2%2Bb%5E2%7D)
Substitute a=3 and b=4, we get
![c=\sqrt[]{3^2+4^2}=\sqrt[]{9+16}=\sqrt[]{25}=5](https://tex.z-dn.net/?f=c%3D%5Csqrt%5B%5D%7B3%5E2%2B4%5E2%7D%3D%5Csqrt%5B%5D%7B9%2B16%7D%3D%5Csqrt%5B%5D%7B25%7D%3D5)
Substitute c=5, we get
Hence the foci are (5,0) and (-5,0).