A(n)=a+(n-1)d
A(40)= -1+(40-1)-4
A(40)= -1+39(-4)
A(40)= -1+(-156)
A(40)= -157
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➷ First find two values that multiply to make 45 but add to make -14
As you will figure out through trial and error, it is -9 and -5
Factorize it with these values:
(g - 9)(g - 5)
The actual values for g would be the opposite of what is in the parenthesis
Therefore, g = 9, or g = 5
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Answer:
Mike is not right
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared
Let
z----> the scale factor
x----> surface area of the enlarged rectangular prism
y-----> surface area of the original rectangular prism
so
In this problem we have
substitute
so
The surface area of the enlarged rectangular prism is 4 times the surface area of the original rectangular prism
therefore
Mike is not right
<em>Verify with an example</em>
we have a rectangular prism
The surface area of the prism is equal to
substitute the values
If he doubles each dimension of any rectangular prism
then
the new dimensions will be
The new surface area will be
therefore
The surface area of the enlarged rectangular prism is 4 times the surface area of the original rectangular prism
Answer:
7x+12y
Step-by-step explanation:
Simplify
4x+9y+3(x+y)
<em>Use the distributive property to multiply 3 by x+y.
</em>
4x+9y+3x+3y
<em>Combine 4x and 3x to get 7x.
</em>
7x+9y+3y
<em>Combine 9y and 3y to get 12y.
</em>
7x+12y
It literally means writing it out: seventeen