Correct option is A) [-13/4, 9/4] .
<u>Step-by-step explanation:</u>
Here we have following equation as |2 + 4x| = 11 or ,
. We need to solve for the value of x .Let's find out:
We know that Modulus Function is both positive & negative for particular values of x , i.e.
|2 + 4x| is positive :
⇒ ![|2+4x|=11](https://tex.z-dn.net/?f=%7C2%2B4x%7C%3D11)
⇒ ![2+4x=11](https://tex.z-dn.net/?f=2%2B4x%3D11)
⇒ ![4x=9](https://tex.z-dn.net/?f=4x%3D9)
⇒ ![x = \frac{9}{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B9%7D%7B4%7D)
|2 + 4x| is negative :
⇒ ![|2+4x|=11](https://tex.z-dn.net/?f=%7C2%2B4x%7C%3D11)
⇒ ![-2-4x=11](https://tex.z-dn.net/?f=-2-4x%3D11)
⇒ ![-4x=13](https://tex.z-dn.net/?f=-4x%3D13)
⇒ ![x = \frac{-13}{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-13%7D%7B4%7D)
Therefore , Correct option is A) [-13/4, 9/4] .
Answer:
1.
d. (-14) + (-8)
2.
a. (-14) + 8
Step-by-step explanation:
(-14) - 8 is equal to (-14) + (-8) because we still add two negative values so the result wouldn't change.
(-14) - (-8) is equal to (-14) + 8 because there's two negative sign in front of 8 and two negative values multiplied makes a positive result.
The answer is (7, -26) for The second endpoint.
We'll call the midpoint M. In order to find this, we must first note that to find a midpoint we need to take the average of the endpoints. To do this we add them together and then divide by 2. So, using that, we can write a formula and solve for each part of the k coordinates. We'll start with just x values.
(Ux + Vx)/2 = Mx
(Vx + 3)/2 = 5
Vx + 3 = 10
Vx = 7
And now we do the same thing for y values
(Uy + Vy)/2 = My
(Vy + 6)/2 = -10
Vy + 6 = -20
Vy = -26
This gives us the final point of (7, -26)
Answer:
D
Step-by-step explanation:
none of the others make sense