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const2013 [10]
3 years ago
9

A square has sides of length s A rectangle is 6 inches shorter and 8 inches wider than the square. Express the area of the recta

ngle as a polynomial.
Mathematics
1 answer:
tamaranim1 [39]3 years ago
3 0
Sides are s and s
s-6 times s+8
multiply
(s-6)(s+8) distribute
(s)(s+8)+(-6)(s+8)
s^2+8s+-6s-48
s^2-2s-48

area=s^2-2s-48 square inches
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A carpenter has a rectangular wooden board. The diagonal of the board is 18 inches long and one side of the board is 12 inches l
BaLLatris [955]

In this question, it is given that the diagonal of the board is 18 inches long and one side of the board is 12 inches long.

Let the other side is of length b inches .

Now we use pythagorean identity, which is

a^2 + b ^2 = c^2

Here, a = 12 and c=18

Substituting these values, we will get

12^2 + b^2 = 18^2 \\ 144 + b ^2 = 324 \\ b^2 = 324-144 \\ b^2 = 180 \\ b= \sqrt{180} \\ b = 13.4164 inches

And the formula of perimeter is

Perimeter = 2(Sum\ of \ legs)

Substituting the values of the two legs, we will get

Perimeter = 2(12+13.4164) = 50.83 inches


3 0
3 years ago
Read 2 more answers
I Need help again :)
Nookie1986 [14]
B it’s b I think I did same one
6 0
2 years ago
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Assume you have a balance of $1,900 on a credit card.
dimaraw [331]

principal=$1900

rate =13.6 %

simple interest= $35

Time=?

SIMPLE INTEREST ={PRINCIPAL×RATE×TIME}/{100}

$35= {$1900 ×13.6× TIME}{100} /

$35×100=25840× TIME

TIME=\bold\frac{ 3500}{25840}

TIME=700/5168

TIME={\tt{\green{\underline{\underline{\huge{0.1354489164}}}}}} years

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8 0
3 years ago
The function f(x) is defined as follows:
Leno4ka [110]

Answer:

f(-3)=-8\\f(2)=4

Step-by-step explanation:

In order to find the values of a piecewise function, we first have to determine which piece we are using.

For f(-3), x=-3. This means that we need to use 3x+1 as -3\leq 0

f(-3)=3(-3)+1\\\\f(-3)=-9+1\\\\f(-3)=-8

For f(2), x=2. This means that we need to use f(x)=4 as x is equal to 2.

f(x)=4

6 0
3 years ago
Write an expression to answer the question.You buy x birthday cards for $1.85 each. How much do you spend?
Alex Ar [27]
Y=1.85x
Hope this helped
8 0
3 years ago
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