Answer:
(x - 43)(x + 3)
Step-by-step explanation:
consider the factors of the constant term (- 129) which sum to give the coefficient of the x- term (- 40)
the factors are - 43 and + 3 , since
- 43 × + 3 = - 129 and - 43 + 3 = - 40 , then
x² - 40x - 129 = (x - 43)(x + 3) ← in factored form
Let's say you had a cake that is cut into 5 equal slices. Then someone eats 2 of those slices. They ate 2/5 of the cake.
Now let's say you have another cake that you cut into 10 equal slices. If someone eats 4 of those ten, then they have eaten 4/10 = 2/5 of the cake.
Check out the diagram below to see a visual of how 4/10 and 2/5 are equivalent fractions.
Going from 2/5 to 4/10 has us multiply top and bottom by 2.
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Similarly, 1/2 = 5/10 after multiplying top and bottom by 10
The original expression 2/5 + 1/2 turns into 4/10 + 5/10
Then you add the numerators to get 4+5 = 9, placing that over the common denominator of 10
<h3>Answer: 9/10</h3>
The perimeter equation for a rectangle is two times the base plus two times the height.
2B + 2H=P
Plug in the known values and solve for x.
2(2x) + 2(x+1)=53
4x+2x+2=53
6x=51
x=8.5
Now that we know what x is, put it back into the formula for the height of the rectangle to find the final answer.
H= x+1
H=8.5+1
H=9.5 ft
She would have to get 78.75 dollars every week to get the camera.
Answer:
- JK = 6.5
- KM = 5.5
- not congruent
Step-by-step explanation:
JK = K-J = (-4) -(-10.5) = 6.5
KM = M -K = 1.5 -(-4) = 5.5
6.5 ≠ 5.5, so the segments are not congruent.