First of all, you have to find the area of both triangles:


Or just 16 because there are 2 of the same triangles.
Now you have to find the area of the 3 rectangles.
The two that are in the front are 4*3 (l*h) or 12*2 (because there are 2 congruent rectangles. The area of those rectangles is 24 square mm.
Now you find the area of the back rectangle:
5.7*3 = 17.1
Finally, you add all the found numbers to figure out the surface area.
17.1 + 16 + 24 = 57.1 square millimeters.
Hope this helped,
Loafly
Answer:
Option D In step 4 Keith should have subtracted 5 from each side
Step-by-step explanation:
step 1
we have
f(x)=7x+5 -----> given
step 1 is correct
step 2
Change f(x) to y
y=7x+5
so
step 2 is correct
step 3
Exchange x for y and y for x
x=7y+5
so
step 3 is correct
step 4
Subtract 5 each side
x-5=7y+5-5
x-5=7y
<u><em>step 4 is not correct</em></u>
step 5
Divide by 7 each side
(x-5)/7=y
step 6
Change y to g(x)
(x-5)/7=g(x)
step 7
switch sides of the equation
g(x)=(x-5)/7
therefore
In step 4 Keith should have subtracted 5 from each side
To complete this algebra problem, just like any other, we have to complete the proper steps in order; here as follows.
1. <span><span>−<span>3<span>x^2 </span></span></span>+ <span>20x </span></span>− <span>12
-------------
x - 6
2. </span><span><span>(<span><span>−<span>3x </span></span>+ 2</span>) </span><span>(<span>x − 6</span><span>)
</span></span></span> -----------
x - 6
And finally..
You come up with the answer of:
-3x + 2
I hope this cleared up the little confusion you may have been having. If you need more information on the steps, just ask.
Answer:
B - P=11.8(1.02)^t
Step-by-step explanation:
An exponential function is defined as:
.
Recall, a is the starting value, b is the rate, and x is the input (often time).
We will substitute a=11.8 million, b=1.02, and x=t for years. Notice b=1.02 and not 0.02. Because the population is increasing, we multiply by 1+r to add the growth onto the current population.
We write:
where y is population in millions.