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vaieri [72.5K]
2 years ago
9

Bradley wants to build a shop in his backyard. He knows the shop will be a rectangular shaped building. He wants the length of t

he shop to be the expression of 3x + 23 and the width to be 2x + 17. Write a trinomial that would represent the area of the shop. Show your work
Mathematics
1 answer:
grigory [225]2 years ago
5 0

Answer:

A = 6x² + 97x + 391

Step-by-step explanation:

Given that,

The length of the shop, l = (3x+23)

The width of the shop, b = (2x+17)

The expression for the area of the shop is given by :

A = lb

Put all the values,

A = (3x+23) × (2x+17)

= 6x² +51x+46x +391

= 6x² + 97x + 391

Hence, the expression for the area of the shop is equal to 6x² + 97x + 391.

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A square-based pyramid has a base side length of 10 feet and a height of 15 feet.
madam [21]
By the pythagorean theorem we know that.
s2 = r2 + h. ...
since r = a/2.
s2 = (1/4)a2 + h2, and.
s = √(h2 + (1/4)a2)
This is also the height of a triangle side.
I don’t know the answer but this might help.
3 0
3 years ago
Factor the polynomial completely.<br> 12x2 + 11x – 15 = 0
bezimeni [28]
x = -3/4 = -0.750
x = 5/3 = 1.667

The first term is, 12x2 its coefficient is 12 .
The middle term is, -11x its coefficient is -11 .
The last term, "the constant", is -15
4 0
3 years ago
ory has designed a special table with a circular cutout in the center to be filled with glass. The radius of the cutout is 7 inc
irakobra [83]

Based on the area of the tabletop with the inner circle, the area after the inner circle has been cut out is 12,309 inch².

<h3>How do we find the new area of the tabletop?</h3>

We are told that the area of the tabletop is 12,463 inch².

We then need to find the area of the circlular cutout as:

= π x radius x radius

= 3.14 x 7 x 7

= 154 inch²

The new area after the cutout is removed is therefore:

= Current area - area of circular cutout

= 12,463 - 154

= 12,309 inch ²

Rest of the question:

Area of table including the cutout is 12,463 square inches.

Find out more on area at brainly.com/question/13183446.

#SPJ1

3 0
2 years ago
Х<br> 2+4 = 2(x - 1)?<br><br> Can someone help me out
ELEN [110]

Answer:

x=4/3

Step-by-step explanation:

2+4=2(x-1)    original

6=2(x-1)        combine like terms

6=2x-2         multiply x-1 by 2

8=2x            add 2 to both sides

4=x              divide both sides by 2

8 0
3 years ago
Read 2 more answers
An online video store charges $24 please help
mr Goodwill [35]

Answer:

B. 24d + 4; $76

Step-by-step explanation:

Part 1: If the online store charges $24 per DVD, this is the same as saying "24 multiplied by the number of DVDs bought".

It's given that "d" represents the number of DVDs

  • So the first part of the variable expression is: 24d

If the online store also charges an additional $4 per <em>order,</em> that means that it's only $4 extra for the whole order. NOT per DVD you buy.

  • Result: 24d + 4

Part 2: If someone were to buy 3 DVDs, that would mean that d = 3.

To find the total cost, substitute 3 for d into the expression.

  • 24d + 4
  • 24(3) + 4
  • 72 + 4 = 76
  • Result: $76
4 0
3 years ago
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