Answer:
The simplified form of the given expression is 
Step-by-step explanation:
Here, the given expression is:

Now to simplify the given expression, perform operations on LIKE TERMS:
We get:
![-3 + (\frac{2}{3}) y - 4 - (\frac{1}{3})y =( -3 - 4) + [(\frac{2}{3}) y- (\frac{1}{3})y]\\= - 7 + [(\frac{2}{3}) -(\frac{1}{3})]y = -7 + [\frac{2-1}{3}]y\\ = -7 + (\frac{1}{3})y\\ \implies -3 + (\frac{2}{3}) y - 4 - (\frac{1}{3})y = -7 + (\frac{1}{3})y](https://tex.z-dn.net/?f=-3%20%2B%20%28%5Cfrac%7B2%7D%7B3%7D%29%20y%20-%204%20-%20%28%5Cfrac%7B1%7D%7B3%7D%29y%20%20%3D%28%20-3%20%20-%204%29%20%20%2B%20%5B%28%5Cfrac%7B2%7D%7B3%7D%29%20y-%20%28%5Cfrac%7B1%7D%7B3%7D%29y%5D%5C%5C%3D%20-%207%20%20%2B%20%5B%28%5Cfrac%7B2%7D%7B3%7D%29%20-%28%5Cfrac%7B1%7D%7B3%7D%29%5Dy%20%20%3D%20-7%20%2B%20%5B%5Cfrac%7B2-1%7D%7B3%7D%5Dy%5C%5C%20%3D%20-7%20%2B%20%28%5Cfrac%7B1%7D%7B3%7D%29y%5C%5C%20%5Cimplies%20-3%20%2B%20%28%5Cfrac%7B2%7D%7B3%7D%29%20y%20-%204%20-%20%28%5Cfrac%7B1%7D%7B3%7D%29y%20%3D%20%20%20-7%20%2B%20%28%5Cfrac%7B1%7D%7B3%7D%29y)
Hence the simplified form of the given expression is 
Answer: 3.675 seconds
Step-by-step explanation:
Hi, when the object hits the ground, h=0:
h=−16t^2+48.6t+37.5
0=−16t^2+48.6t+37.5
We have to apply the quadratic formula:
For: ax2+ bx + c
x =[ -b ± √b²-4ac] /2a
Replacing with the values given:
a=-16 ; b=48.6; c=37.5
x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)
x = [ -48.6 ± √ 4,761.96] /-32
x = [ -48.6 ± 69] /-32
Positive:
x = [ -48.6 + 69] /-32 = -0.6375
Negative:
x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)
Feel free to ask for more if needed or if you did not understand something.
Answer:
-0.55 + 0.53a
Step-by-step explanation:
-0.55 – 0.47a + a
To find an expression equivalent to this, we must simplify the equation to a reasonable extent;
-0.55 – 0.47a + a
= -0.55 + 0.53a
= 0.53a - 0.55
The expression equivalent to the given one is -0.55 + 0.53a or 0.53a - 0.55
Answer:
806.12 m
Step-by-step explanation:
<u>Step 1: Write the data</u>
<em>Side (s) = 12</em>
<em>Altitude (h) = 6</em>
<u>Step 2: Write the formula for surface area of right hexagonal pyramid</u>
<em>Area = 3√3/2*s² + 3*s*√(h²+3s²/4)</em>
<u>Step 3: Substitute values of 's' and 'h'</u>
<em>Area = 3√3/2*(12)² + 3*(12)*√[6²+3(12)²/4]</em>
Area = 806.12 m
Therefore, the total surface area of the pyramid is 806.12 m.
!!
Step-by-step explanation:
8x-10=3x+90
=5x=100
=x=20
therefore
B=3(20)+90
150°