Answer:
a^2
−10a+21
Step-by-step explanation:
(a−7)(a−3)
Apply the distributive property by multiplying each term of a−7 by each term of a−3.
a^2
−3a−7a+21
Combine −3a and −7a to get −10a.
a^2
−10a+21
Answer:
x = -8
Step-by-step explanation:
-1/4x = 2
-1x = 8 (Multiply each side by 4)
x = -8 (Divide each side by -1)
The area of a square increases by a factor 2n when its perimeter increases by a factor of n
<h3>How to determine the perimeter and area of each square?</h3>
Start by calculating the side length of each square
From the diagram, we have the following side lengths in ascending order
Square 1 = 2
Square 2 = 4
Square 3 = 8
<u>The perimeter</u>
This is calculated as:
P = 4 * Side length
So, we have:
Perimeter Square 1 = 4 * 2 = 8
Perimeter Square 2 = 4 * 4 = 16
Perimeter Square 3 = 4 * 8 = 32
Hence, the perimeters of the squares are 8, 16 and 32
<u>The area</u>
This is calculated as:
A = Side length^2
So, we have:
Area Square 1 = 2^2 = 4
Area Square 2 = 4^2 = 16
Area Square 3 = 8^2 = 64
Hence, the areas of the squares are 4, 16 and 64
<h3>What happens to the area of a square when its perimeter increases by a factor of n?</h3>
Using the computations in (a), the area of a square increases by a factor 2n when its perimeter increases by a factor of n
Read more about area and perimeter at:
brainly.com/question/24571594
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Answer:
$135000
Step-by-step explanation:
Lets assume the price of the house = x
So, (3.5% of x) = $4725
=> 3.5x/100 = $4725
=> 3.5x = $472500
=> x = $472500/3.5 = $135000
Therefore the price of the house = $135000
Answer:
Step-by-step explanation:
z = 3
2y + z = 1
2y + 3 = 1 {substituting z =3}
2y = 1 -3
2y = -2
y = - 2/2
y = -1
2x +3y +2z = 13
2x + 3 * (-1) + 2*3 = 13 { {substituting z =3} and y = -1}
2x -3 + 6 =13
2x + 3 = 13
2x = 13 - 3
2x= 10
x = 10/2
x = 5