Answer:
Answer:
It is D
Step-by-step explanation:
Distribute:
=(4)(5m)+(4)(3)+2m
=20m+12+2m
Combine Like Terms:
=20m+12+2m
=(20m+2m)+(12)
=22m+12
Answer:
Here is the complete question (attachment).
The function which represent the given points are 
Step-by-step explanation:
We know that a general exponential function is like,
We can find the answer by hit and trial method by plugging the values of 
coordinates.
Here we are going to solve this with the above general formula.
So as the points are 
then for 
Can be arranged in terms of the general equation.
...equation(1) and 
...equation(2)
Plugging the values in equation 2.
We have
![\frac{16}{b} b^4=128,16\times b^3=128,b=\sqrt[3]{\frac{128}{16}} =\sqrt[3]{8}=2](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7Bb%7D%20b%5E4%3D128%2C16%5Ctimes%20b%5E3%3D128%2Cb%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B128%7D%7B16%7D%7D%20%3D%5Csqrt%5B3%5D%7B8%7D%3D2)
Plugging 
in equation 1.
We have 
Comparing with the general equation of exponential 
and
So the function which depicts the above points =
From theoption we have B as the correct answer.
Answer:
2 - x <u>></u> -1
Step-by-step explanation:
1. The problem statement tells you to find "the area of the hexagonal face".
2. If we assume the intent is to find the shaded area of the face only, it differs from the area of a regular hexagon in that there is a hole in the middle.
3. You must find the area of the regular hexagon, and subtract the area of the circular hole in the middle.
4. The formula for the area of a circle in terms of its radius is
... A = πr²
5. The formula for the area of a regular hexagon in terms of the radius of the circumcircle is
... A = (3√3)/2·r²
6. The radius of the circumcircle of the regular hexagon is given. No additional information is needed.
7. You can use the trig functions of the angles of an equilateral triangle to find the apothem, but there is no need for that when you use the formula of 5.
8. All this is unnecessary. The apothem is (8 mm)·(√3)/2 = 4√3 mm ≈ 6.9282 mm, the shorter leg is (8 mm)·(1/2) = 4 mm. The perimeter is 6·8 mm = 48 mm.
9. The area of the hexagon is
... A = 3√3/2·(8 mm)² = 96√3 mm² ≈ 166.277 mm²
10. The area of the circle is
... A = π·(4 mm)² = 16π mm² ≈ 50.265 mm²
11. The area of the hexagonal face is approximately ...
... 166.277 mm² - 50.265 mm² = 116.01 mm²
Step-by-step explanation:
x²-10x+x-10
x(x-10)+1(x-10)
(x-10)(x+1)
x²+7x+10
x²+5x+2x+10
x(x+5)+2(x+5)
(x+5)(x+2).
hope this helps you.
for the first question it will be<u> </u><u>-</u><u>1</u><u>0</u><u> </u><u>.</u>
