Which expression is equivalent to StartFraction 2 a + 1 Over 10 a minus 5 Endfraction divided by StartFraction 10 a Over 4 a squ
1 answer:
Answer:
Step-by-step explanation:
Given
Required
Find the equivalent
We start by changing the / to *
Factorize 10a - 5
Expand 4a² - 1
Express (2a)² - 1² as a difference of two squares
Difference of two squares is such that:
The expression becomes
Combine both fractions to form a single fraction
Divide the numerator and denominator by 2a - 1
Simplify the numerator
Hence,
=
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Answer:
6 inches
Step-by-step explanation:
The formula for the area of a triangle is
b - base
h - height
the first step is to add the information that we know into the formula.
We know the area = and the height = 5 inches
if we had both the base and the height, the next step would be to multiply
b x h then half the answer to work out the area but as we already have the area () we need to work in reverse.
15 x 2 = 30
what is 5 multiplied by to get 30?
5 x ? = 30
30 ÷ 5 = 6
∴ the base = 6inches
to check if our answer is correct, we can place these numbers into the formula
A =
A = (30 ÷ 2 = 15)
A = 15
I hope this was helpful :-)
Very easy:
Since there is no involvement of y so simply draw a vertical line at x=1.And shade the part which is describing the x values.
Hence,
You will shade all the part which is on the left of the vertical line.As there is an equal sign too,so the vertical line will be a solid line instead of dotted line.
See the attachment for graph.
Since there is no involvement of y so simply draw a vertical line at x=1.And shade the part which is describing the x values.
Hence,
You will shade all the part which is on the left of the vertical line.As there is an equal sign too,so the vertical line will be a solid line instead of dotted line.
See the attachment for graph.
The ratio of the sides will be constant. Then the value of the length of line segment SA will be 3 ft.
The missing diagram is given below.
<h3>What is the triangle?</h3>A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The triangles ΔABC and ΔSBT are the similar triangles.
Then the ratio of the sides will be constant.
BS / SA = BT / TC
10 / SA = 9 / 2.7
SA = 3
Then the value of the length of line segment SA will be 3 ft.
More about the triangle link is given below.
#SPJ1
