PART A. Notice that we have
as a common factor in all the terms, so lets factor that out:
Now we need can factor
:
We can conclude that the complete factorization of
is
.
PART 2. Here we just have a quadratic expression of the form
. To factor it, we are going to find <span>two numbers that will multiply to be equal the </span>c<span>, and will also add up to equal </span><span>b. Those numbers are 2 and 2:
</span>
Since both factors are equal, we can factor the expression even more:
We can conclude that the complete factorization of
is
.
PART C. Here we have a difference of squares. Notice that 4, can be written as
, so we can rewrite our expression:
Now we can factor our difference of squares like follows:
We can conclude that the complete factorization of
is
A) 22:7
B) 29:22
29 - 7 = 22, so there are 22 yellow pencils.
There are 22 yellow pencils and 7 green pencils, so the ratio of yellow pencils to green pencils is 22:7.
There are 29 pencils, and 22 of them are yellow, so the ratio of all pencils to yellow pencils is 29:22.
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Answer:
49b^10 -16b^2
Step-by-step explanation:
(7b^5)^2 -(4b)^2=
49b^10 - (4b)^2=
49b^10 - 16b^2
<span> equilateral triangle is a triangle in which all three sides are equal. In traditional or Euclidean geometry equilateral <span>triangle
</span></span>
Answer:
y = ½x + 6.
Step-by-step explanation:
You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.