1 lemon?
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Step-by-step explanation:
Length = x-3
width = x+8
Area of the rectangle = 60 inch²
(x-3)(x+8)=60
x²+8x-3x-24=60
x²+5x-24=60
x²+5x-84=0
x²+12x-7x-84=0
x(x+12) - 7(x+ 12) =0
(x+12)(x-7)= 0
x= -12 or, x= 7
Measure of sides of rectangle can never be negative.
Answers:
Therefore,
x=7
Dimensions
length =7-3
=4 inches
width = 7+8
=15 inches
He was using an isosceles right triangle.
Both legs of an isosceles triangle are the same length, so knowing that when the shadow of the triangle was the same height as the triangle, then he knew that the shadow of an object would also be the same as it's height.
Answer:
The pairs are:
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Step-by-step explanation:
We are going to solve the questions one by one and then write the quotients with every question.
In order to calculate the division, the terms are multiplied then exponents are added or subtracted between numerator and denominator to get the simplest form of answer.
<u>First Expression:</u>
<u></u>
When two fractions have to be divided the second fraction is reversed i.e. numerator becomes denominator and vice versa.
<u>Second Expression:</u>
<u></u><u></u>
Removing the division symbol
<u></u><u></u>
<u></u>
<u>Third Expression:</u>
<u></u><u></u>
Removing the division symbol
<u></u><u></u>
<u></u>
<u>Fourth Expression:</u>
<u></u><u></u>
Removing the division symbol
<u></u><u></u>
<u></u>
Hence,
The pairs are:
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