Value of x is 1/5
Step-by-step explanation:
- Step 1: Given equation is 4 = √6x + 15 - x. Square both sides of the equation.
⇒ 16 = 6x + 15 - x
⇒ 16 = 5x + 15
⇒ 1 = 5x
∴ x = 1/5
The answer is B. It is a result of the survey.
Answer:
(-6,14)
Step-by-step explanation:
We are given one endpoint and the midpoint, so we have to figure out how far apart these two points are:
(4,12) and (-1,13)
First, we take the x values because these two points are using the (x,y) pattern.
How far away are 4 and -1? The answer is 5.
How far away are 12 and 13? Only 1
If we start at the endpoint (4,12) and go to the midpoint at (-1,13), we go 5 to the left. That means we need to go 5 more spaces to the left to get to the other endpoint. The first part of our answer is -6, which is 5 to the left of -1.
Doing the same thing for the y values now, to get from 12 to 13 we go up 1. So we have to go up one more to find the y value of the other endpoint. If you are at 13 and you go up one, you are at 14.
<em>Presuming you mean y = -2x^2 - 8x - 13</em>
Firstly, put the x terms in parentheses and factor out -2:
Next, we want to make what's inside those parentheses a perfect square. To do this, divide the x coefficient by 2 and square that result. In this case, that result is 4. Add 4 to the inside of the parentheses, and add 8 to the outside of the parentheses to balance it out. (Since when foiled, 4 x -2 = -8)
Next, factor what's inside the parentheses, and <u>your final answer will be </u>