9514 1404 393
Answer:
rectangle: 2x+2 wide by 2x high
triangle: 2 high
Step-by-step explanation:
Usually, a problem like this is asking you to find dimension expressions that combine to give you the given expression. There are usually a number of possibilities. Using the designators in the attached, we would generally like to have B > C and A about the same as C. That doesn't seem possible with the given factors.
__
The given quadratic expression factors as ...
area = 4x^2 +6x +2 = (2x+2)(2x +1)
This might be written to match the area formula as ...
(2x +2)(2x +2/2)
This would give A=2, B=2x+2, C=2x, as shown in the attachment.
Answer:
√16×81 = 4×9 or √1296 = 36
√16×√81 = 4×9 = 36
Step-by-step explanation:
√81×16
We simplify 81 and 16 by prime factorisation (expressing a number as a product of its prime factors).
√81 = √3×3×3×3 = √9×9 = √9² = 9
√16 = √2×2×2×2 = √4×4 = √4² = 4
To find the measure of angle OPQ, we have two equations...
y+5x-17=180 because angles OPN and OPQ are supplementary...
AND
x+17+2x-4+y=180 because the total degrees of a triangle must add up to 180.
The equations...
5x+y=197
3x+y=167
solce the system of equations...
x=15
y=122
Since we wanted to solve for y, 122 is the answer.
The measure of angle OPQ is 122.
Sorry this took forever. The website is hard to use because I'm used to using the app:)
Best of wishes!
Answer:
Step-by-step explanation:
Note that the expression is the difference of squares.
36 - 9m² = 6² - (3m)²
6² - (3m)² = (6 + 3m) (6 - 3m)
