Answer:
Equation of the parabola is 
Step-by-step explanation:
We have to find the equation of a parabola with vertex is (-4,-3) and a directrix x=2.
As vertex is (-4,-3) that means parabola is in third quadrant.
So the standard formula of the parabola will be y²= -4px through origin (0,0).
But when a parabola is shifted from origin to the left of y axis so the equation will be (y-shifting form y axis)² = -4(distance between vertex and directrix)(x-shifting from x axis)
.
Answer:
See explanation
Step-by-step explanation:
OK. Alvi is incorrect because he didn't add the measures of all 3 angles of the triangle, whereas Brian did. So, Brian is correct and Alvi needs to work on that kind of problem.
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:
8 in each row
Step-by-step explanation:
Short Answer:Choice C [Third one down]
RemarkStart with the number so I can talk about the basic principle at work. The way to work it is to factor 162 into prime factors and hope there are at least 3 that are the same.
162 = 2 * 81
162 = 2 * 3 * 3 * 3 * 3
Now When you take the cube root of that, you get
![\sqrt[3]{2*2*2*2*3}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B2%2A2%2A2%2A2%2A3%7D%20)
Here's the rule for a cube root. For every 3 prime factors under the cuberoot sign, you take out one and throw the other two away. So for cube root of 81,
you would factor it as ∛(81) = ∛(3 * 3 * 3 * 3) = 3∛3.
So out of four 3s under the cube root sign, you have 1 outside the root sign and one inside the root sign. 2 of the four 3s have been thrown away.
Continuation.X firstYou want 2 xs outside the root sign
∛(x * x * x * x * x *x ) = (x * x) You have thrown away 2 xs for every x outside the cube root sign
C = 6 There are no left overs.
Y secondFor the ys, you need 1 outside and 2 inside the root sign. that's because you need 5 altogether.
∛(y * y * y * y * y) = y ∛y^2
Answer c = 6; d = 2
Choice C <<<<<< answer
