Answer:
x+2 is a factor of 
Step-by-step explanation:
To check: If (x+2) is a a factor of the polynomial
We need to check if x = -2 is the FACTOR of the given polynomial.
⇒ To show: f (-2) = 0
Now
Since, f(-2) = 0
⇒ -2 is the ROOT of the Polynomial f(x).
⇒(x +2) is the factor of the given polynomial.
Hence, x+2 is a factor of
If all the equations for the directrix are "x = " lines then this is a y^2 parabola. The actual equation is
. The standard form for a positive sideways-opening parabola is
. We know from the equation that the vertex of the parabola is at the origin, or else the translation would be reflected within the parenthesis in the equation. Our equation has no parenthesis to indicate movement from the origin. The vertex is (0, 0). Got that out of the way. That simplifies our standard form down to
. Let's take a look at our equation now. It is
. We could rewrite it and make it a closer match to the standard form if we multiply both sides by 8 to get rid of the fraction. That gives us an equation that looks like this:
. That means that 4p = 8, and p = 2. p is the distance that the focus and the directrix are from the vertex. Since this is a positive parabola, it opens up to the right. Which means, then, that the focus is to the right of the vertex, 2 units to be exact, and the directrix is 2 units to the left of the vertex. The formula for the focus is (h + p, k). Our h is 0, our k is 0 and our p is 2, so the coordinates of the focus are (2, 0). Going 2 units to the left of the origin then puts our directrix at the line x = -2. Your choice then as your answer is b.
Answer:
24
Step-by-step explanation:
How do we know that a circle must complete up to 180, then we have to:
180 - 48 = 132
Now knowing this distance we can also know the other, starting from the same concept, in addition to what the circle below is like, a semicircle refers to so we divide by 2:
(180-132) / 2 = 24
Therefore the answer is 24.
We can also do it ABC is half of ADC. So ABC = 48/2 = 24
58=7/4x
Multiply both sides by 4 so the fraction cancels out:
232=7x
Divide both sides by 7:
x=33.14 (rounded)
Hope this helps :)
When x=1/4 x²=1/16 so f(1/4)=y=2 1/16 last answer
