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valentina_108 [34]
3 years ago
10

The length of a rectangle is 2 inches more than its width. The area of the rectangle is equal to 1 inches less than 3 times the

perimeter. Find the length and width of the rectangle.
Mathematics
1 answer:
suter [353]3 years ago
8 0

Answer:

The length is 13, when the width is 11

Step-by-step explanation:

The width is x, when the length is x+2. The area is x(x+2)= x^2+2x.

The perimeter is (x+x+2)*2= (2x+2)*2=4x+4

THe thrre times perimeter is 3(4x+4)= 12x+12

x^2+2x= 12x+12-1

x^2+2x-12x-11=0

x^2-10x-11=0

x=-1 (not suitable); x=11 - the width

The length is 11+2=13

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7 0
3 years ago
Evaluate the expression(-3.8)+0+y for the given values of y.
11111nata11111 [884]

Answer:

y = -3.3 then  -7.1

y = -7.1 then  -10.9

y = -2.6 then -6.4

y = 1 then -2.8

y = 4.2 then 0.4

Step-by-step explanation:

(-3.8)+0+y can be simplified to -3.8 + y. Evaluate each value for y by substituting it into the expression and solving.

y = -3.3 then -3.8 + -3.3 = -7.1

y = -7.1 then -3.8 + -7.1 = -10.9

y = -2.6 then -3.8 + -2.6 = -6.4

y = 1 then -3.8 + 1 = -2.8

y = 4.2 then -3.8 + 4.2 = 0.4

7 0
3 years ago
$4.50 plus $3.60 per mile. Patrick paid $28.80 to ride a shuttle bus into the city. How many miles did Patrick ride on the shutt
BigorU [14]

<u>I'm very sorry but i don't know the answer to this queshtion</u>

8 0
2 years ago
What is the equation of this line?<br><br>A: y=-3/2x<br>B: y=2/3x<br>C: y=-2/3x <br>D: y=3/2x​
creativ13 [48]

Answer:

b) y = 2/3x

Step-by-step explanation:

Slope (m) formula: \frac{y_2-y_1}{x_2-x_1}

I will be using (3,2) and (-3,-2) to find the slope:

m=\frac{-2-2}{-3-3}\\m=\frac{-4}{-6} \\m = \frac{2}{3}

y = mx + b\\y = \frac{2}{3}x+b

(3,2)

y = \frac{2}{3}x+b\\\\2 = \frac{2}{3}(3)+b\\\\2 = 2+b\\-2  -2\\\\0=b

y=mx+b\\\\y = \frac{2}{3}x+0\\\\y = \frac{2}{3}x

Hope this helps!

8 0
2 years ago
Given f(x) = the quantity of 2x minus 2 divided by 4, solve for f−1(3).
spin [16.1K]
Given: f(x)=(2x-2)/4
find f^-1(3)?
we need to find the inverse of f(x), so
x=(2y-2)/4
2y-2=4x
y-1=2x
y=2x+1
so, then f^-1(x)=2x+1
f^-1(3)=2(3)+1
=6+1
=7
so, the answer is 7

6 0
3 years ago
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