Answer:
F(x)=-x^2-4x-1
Step-by-step explanation:
According to PEMDAS, do the exponent part for the parentheses, sense it goes first.
F(x)= -(x^2+4x+4)+3
Then distribute the - sign
F(x)= -x^2-4x-4+3
Then you simplify
F(x)= -x^2-4x-1
Answer:
The Sum of the areas of theses triangles is 169/3.
Step-by-step explanation:
Consider the provided information.
The hypotenuse of an isosceles right triangle is 13 inches.
Therefore,

Then the area of isosceles right triangle will be: 
Therefore the area is: 
It is given that sum of the area of these triangles if this process is continued infinitely.
We can find the sum of the area using infinite geometric series formula.

Substitute
in above formula.



Hence, the Sum of the areas of theses triangles is 169/3.
Answer:
Option B, x = 20
Step-by-step explanation:
<u>Step 1: Make an equation</u>
The values of 65 degrees and (3x + 5) are equal.
65 = 3x + 5
<u>Step 2: Subtract 5 from both sides</u>
65 - 5 = 3x + 5 - 5
60 = 3x
<u>Step 3: Divide both sides by 3</u>
60 / 3 = 3x / 3
<em>20 = x</em>
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Answer: Option B, x = 20
2^6 (or two to the sixth power) is equal to 4^3, which equals out to 64.