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denis-greek [22]
3 years ago
7

A picture frame has a perimeter of 40 inches. Its length is 2 inches greater than one-half its width. Let w represent the width

of the picture frame, and let l represent the length. Which system of equations can be used to find the dimensions of the picture frame?
Mathematics
2 answers:
LUCKY_DIMON [66]3 years ago
8 0
L = 2 + .5W
2L + 2W = 40

SOLVING (if needed)
Substitute 2 + .5w in for l in the second equation and solve for w.
2(2 + .5w) + 2w = 40
4 + w + 2w = 40
Combine like terms and subtract 4 from both sides
3w = 36
Divide both sides by 3
w = 12 in.
l = 2 + .5w
l = 2 + .5(12)
l = 8 in.
vovikov84 [41]3 years ago
8 0

Answer:

A

Step-by-step explanation:

Yes

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Ilya [14]

The equation that could be used to determine L, the unknown side length of the logo is A =2.5w

<h3>How to determine the equation?</h3>

The given parameters in the question are:

  • Shape: Rectangle
  • Height of logo, h = 2 1/2 feet

From the question we understand that the area is at maximum.

Represent this area with A

The area of the rectangle is:

A = h * l

Where h and l are the dimensions of the rectangle.

Substitute 2 1/2 for h

A = 2 1/2 * l

Express 2 1/2 as a decimal number

A = 2.5 * l

Evaluate the product

A =2.5l

Hence, the equation that could be used to determine L, the unknown side length of the logo is A =2.5w

Read more about areas at:

brainly.com/question/24487155

8 0
2 years ago
Plssssss help me! What is the area of the shaded portion to the nearest hundredth?
Katarina [22]

Step-by-step explanation:

A1= area of the rectangle

A1= 4yd • 10yd

A1= 40 square yd

A2= area of the part of the circular section

A2= 180°• pi • 4 square yd/360°

A2= 180° • 16yd • pi/ 360°

A2= 16yd•pi/2

A2= 8yd•pi

A2= 25,12yd

A= areo of rhe shaded portion

A= A1-A2

A= 40yd-25,12yd

A= 14,88yd

7 0
3 years ago
Find the slope and the y-intercept of the equation y − 3(x − 1) = 0.
djyliett [7]
Y-(3x-1)=0
y-3x+1=0
y=3x-1
The equation is in the form y=mx+q where m is the slope and q is the y-intercept.
Then the slope of that line is 3 and y-intercept is -1
3 0
3 years ago
1
xxTIMURxx [149]

(x-4)(x-4)= 0

x-4= 0 , x-4= 0

x-4+4= 0+4 , x-4+4= 0

x= 4 , x= 4

Answer is x= 4 (C.)

8 0
3 years ago
Read 2 more answers
Can you help me with this question?-8(-4x-1)-9x
Contact [7]
First you have to multiply -8 to (-4x-1)
which is, -12x+8
then there is -9x you have to add like terms
-12x-9x+8
-21x+8 is your final answer
4 0
3 years ago
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