The answer is 2z+3. The like terms are 5z and -3z so you can subtract them and get 2z. Thus, the answer is 2z+3
Answer:
6
Step-by-step explanation:
We know that MY is the same length as XM according to definition of segment bisector. We can create an equation:
5x + 8 = 9x + 12
Minus 8 on both sides
5x = 9x + 4
-4 = 4x
x = -1
Now substitute both sides of the equation with -1 instead of x
-5 + 8 = -9x + 12
3 = 3
XY = MY + XM
XY = 3 + 3 = 6
Hope this helps :)
Have an awesome day!
Answer:

Step-by-step explanation:
The ladder, ground, and building form a right triangle where the vertical distance between the top of the ladder and the bottom of the ground is one leg, the horizontal distance between the bottom of the ladder and the building is another leg, and the length of the ladder is the hypotenuse.
For any right triangle, the Pythagorean Theorem states that the sum of the squares of both legs is equal to the hypotenuse squared (
), where
is the hypotenuse.
Let the length of the ladder be
(hypotenuse of right triangle). The distance between the top of the ladder and the ground (vertical distance) can be represented as
.
From the Pythagorean Theorem, we then have:

Expand using
:

Subtract
from both sides and add
to both sides:

Combine like terms:

Divide both sides by 2:

Therefore, the length of the ladder is 25 feet.
The two numbers are 21 and -4 because 21×(-4)=(-84). And when you add 21+(-4) you get 17.
1.
a. 8 x 7 x 1/2 = 56 x 1/2 = 28
b. 24 x 14 x 1/2 = 336 x 1/2 = 168
c. 5 x 12 x 1/2 = 60 x 1/2 = 30
d. 4 x 4.8 x 1/2 = 19.2 x 1/2 = 9.6
2.
two triangles: 2(4 x 8 x 1/2) = 4 x 8 = 32
rectangle: 15 x 8 = 120
total area: 32 + 120 = 152