f(x)=3/4x^2 −1.
A vertical stretch by a factor of 8 you multiply the number with x by the factor:
3/4 x 8 = 6
g(x) = 6x^2-1
Answer:
angles two and six are corresponding angles, meaning that angle two and six are congruent. If angles two and six are congruent, then it is supplementary to angle eight.
Step-by-step explanation:
Multiply all of them, your answer should be 1356.8.
Given:
Two figures.
To find:
The area of the shaded regions for both figures.
Solution:
In first figure, the shaded area is a triangle with base 15 units and height 12 units. So, the area of the shaded region is equal to area of the triangle.




Therefore, the area of the shaded region is 90 square units.
In the seconds figure, we need to subtract the area of square from the area of triangle, to get the area of the shaded region.
Area of triangle with base 15 and height 18 is:



Area of the square with sides 6.



Now, the area of the shaded region is:



Therefore, the area of the shaded region is 99 square units.
Answer:

Step-by-step explanation:
The given expression is

To factor this polynomial, we just need to extract the common factor. Or you can see as the greatest common factor.
What is the greatest common factor between 8 and 16?
16: 1, 2, 4, 8, 16.
8: 1, 2, 4, 8.
You can observe that the greatest common factor is 8, so we extract it from both numbers

Notice that we placed the GCM in the front as a product, if we don't do that, it would be completely wrong, because we can change the equivalence of the expression. Now, notice that each variable have different coefficients, that is because if you extract the GCM, you need to placed its quotients as coefficients.
Therefore, the factor of the polynomial is
