Combining the like terms, the simplified polynomials are given as follows:
a) 4x² - 14x + 17
b) -5x² - 20x + 8
<h3>How are polynomials simplified?</h3>
Polynomials are simplified combining the like terms, that is, adding these numbers with the same variable.
Item a:
4(x - 2)(x + 1) - 5(2x - 5)
Applying the distributive property:
4(x² - x - 2) - 10x + 25
4x² - 4x - 8 - 10x + 25
Combining the like terms:
4x² - 4x - 10x - 8 + 25
4x² - 14x + 17
Item b:
-5(x + 2)² + 28
-5(x² + 4x + 4) + 28
-5x² - 20x - 20 + 28
-5x² - 20x + 8
More can be learned about the simplification of polynomials at brainly.com/question/24450834
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Answer:
B) 29
Step-by-step explanation:
Given:
AC= 58
Point D and E are the midpoints of side AB and BC Respectively.
Solution:
According to Midpoint theorem which states:
"The segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side."
DE=
AC
DE= 
Hence length of DE is 29.
Answer:
6/9
Step-by-step explanation:
Answer:
20a. y = 8.75x - 5.99
20b. slop is the cost of each shirt.
20c. I am not to sure on this one so I am going to guess that it means payment to enter the shop.
Step-by-step explanation:
Answer:
y=4x
Step-by-step explanation:
The equation of a line is y=mx+b, where m is the slope and b is the y intercept.
The slope formula is Δy/Δx, so using the coordinates (1, 4) and (2, 8), the slope is
which equals 4.
The y intercept is 0.
Therefore, the equation is y=4x.