It is a similar triangle so the side length of the smaller triangle (x and x-2) are in the same ratio as the bigger triangle (2x+5 and 2x-1). As the ratio is the same, you can equate them and solve for x.
Answer:
4. -4
5. -2
6. -3
Step-by-step explanation:
4. -12 = 5r + 8
Subtract 8 from both sides;
-20 = 5r
Divide both sides by 5;
-4 = r OR r = -4
5. -6p - 3 = 9
Add 3 to both sides;
-6p = 12
Divide both sides by -6
p = -2
6. -14 = 4x - 2
Add 2 to both sides;
-12 = 4x
Divide both sides by 4;
-3 = x OR x = -3
Answer:
51 meters
Step-by-step explanation:
The area can be found by adding the areas of all the triangles. The top right triangle has an area of 7.5. The bottom right triangle has an area of 18. The bottom left, also has an area of 18. And finally, the top left which has an area of 7.5. 18 + 18 + 7.5 + 7.5 = 51.
Answer:
A. 9A² - 16B²
Step-by-step explanation:
(3A + 4B)(3A - 4B)
Distribute:
3A(3A - 4B)
4B(3A - 4B)
Multiply:
3A(3A - 4B)
3A(3A) + 3A(-4B)
9A² - 12AB
4B(3A - 4B)
4B(3A) + 4B(-4B)
12AB - 16B²
Combine like terms:
9A² - 12AB + 12AB - 16B² <== -12AB + 12AB cancels out
9A² - 16B²
Therefore, our final answer is 9A² - 16B²
Hope this helps!
