Answer:
a)3
Step-by-step explanation:
given the triangle abc,if the side ac is 6
the side ac=6
if it is dilated by 50%,then the resulting pre-image is exressed as;
a'c=0.5(6)
a'c=3
hence the side after dilation is 3
The eqution of height y in terms of the time x is
We are asked when the rocket will strike the ground, so that is the same that sayin when will the rocket's height will be zero again, that is, y=0. so we have to solve
the solutions of this equations are
![x=\frac{-116\pm\sqrt[]{116^2-4(-16)(7)}}{2(-16)}=\mleft\{\begin{aligned}-0.05 \\ 7.3\end{aligned}\mright.](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-116%5Cpm%5Csqrt%5B%5D%7B116%5E2-4%28-16%29%287%29%7D%7D%7B2%28-16%29%7D%3D%5Cmleft%5C%7B%5Cbegin%7Baligned%7D-0.05%20%5C%5C%207.3%5Cend%7Baligned%7D%5Cmright.)
So, the rocket will strike the ground after 7.3 seconds
Answer:
15
Step-by-step explanation:
First, solve for Line 1
3x + 4y = -14
<em>move the x to the right of the equation</em>
4y = -3x - 14
<em>divide the whole equation by 4 </em>
y = -3/4x - 14/4
<u>Line 1 is y = -3/4x - 7/2 </u>
Then, solve for Line 2
Since Line 2 is perpendicular, change the sign of the slope of Line 1 and then get the reciprocal of that.
-3/4 to 3/4 to 4/3
4/3 is the slope of Line 2.
Now, we want to find what the b of the equation is, so we can plug in our x (-5) and our y (7) into the y=mx+b equation to find b. The 4/3 is the m or the slope.
y = mx + b
<em>plug in the y, m, and x into the equation</em>
7 = (4/3)(-5) + b
<em>multiply the m and x together </em>
7 = -20/3 + b
<em>add 20/3 to both sides so it will cancel out on the right of the equation and be added to the 7 on the left of the equation</em>
<u>41/3 = b </u>
So, m = 4/3 and b = 41/3
Add them together and you get 45/3 or 15.
I hope this helped!
(-27-19=-2x) then you add then you get (-46=-2x) divide by -2 you get 23
so x=23
Answer:
C
Step-by-step explanation:
C
