The length of the rectangle is three more than the width find the length of the rectangle if the perimeter is 98 inches
1 answer:
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Let
x---------------> first number
y--------------> second number
we know that
x-y=2-------------> x=2+y-----------------> equation 1
x*y=41.25------------------> equation 2
substituting 1 in 2
(2+y)*y=41.25-------> y²+2y-41.25=0
using a graph tool----------> to resolve the quadratic equation
see the attached figure
the solution is
y=5.5
x=2+y---------> x=2+5.5---------> x=7.5
Part a)<span>Write an equation representing the product.
the answer Part a) is
</span>x*y=41.25
<span>
Part b) Find the two numbers</span>
the answer Part b) is
the numbers are 7.5 and 5.5
x---------------> first number
y--------------> second number
we know that
x-y=2-------------> x=2+y-----------------> equation 1
x*y=41.25------------------> equation 2
substituting 1 in 2
(2+y)*y=41.25-------> y²+2y-41.25=0
using a graph tool----------> to resolve the quadratic equation
see the attached figure
the solution is
y=5.5
x=2+y---------> x=2+5.5---------> x=7.5
Part a)<span>Write an equation representing the product.
the answer Part a) is
</span>x*y=41.25
<span>
Part b) Find the two numbers</span>
the answer Part b) is
the numbers are 7.5 and 5.5
Answer:
The expressions that completely factored are:
= 8(
) ⇒ 2nd
⇒ 4th
Step-by-step explanation:
Complete factorization means the terms in the bracket has no common factor
∵ The expression is 18y³ - 6y
- Find the greatest common factor of the numbers and the variable
∵ The greatest common factor of 18 and 6 is 6
∵ The greatest common factor of y³ and y is y
∴ The greatest common factor is 6y
- Divide each term by 6y to find the terms in the bracket
∴ 18y³ - 6y = 6y(3y² - 1) ⇒ not the same with the answer
∵ The expression is
∵ The greatest common factor of 32 and 24 is 8
∴ The greatest common factor is 8
- Divide each term by 8 to find the terms in the bracket
∴ = 8(
) ⇒ the same with the answer
∴ The expression = 8(
) is completely factored
∵ The expression is
∵ The greatest common factor of 20 and 10 is 10
∵ The greatest common factor of and y² is y²
∴ The greatest common factor is 10y²
- Divide each term by 10y² to find the terms in the bracket
∴ ⇒ not the same with the answer
∵ The expression is
∵ The greatest common factor of 16 and 12 is 4
∵ The greatest common factor of and y³ is y³
∴ The greatest common factor is 4y³
- Divide each term by 4y³ to find the terms in the bracket
∴ ⇒ the same with the answer
∴ The expression is completely factored
The expressions that completely factored are:
= 8(
)