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Vika [28.1K]
3 years ago
10

The area of a rectangle is x2 - 2x - 15 and the length of the rectangle is x + 3. Find the width of the rectangle.

Mathematics
1 answer:
Alexandra [31]3 years ago
8 0
The area of the triangle could be determined by multiplying the length and the width. Since, we are given the area and the length, to find the width, you divide the area by the length:

w = A ÷ l
w = (x2 - 2x - 15) ÷ (x+3)

What do you have to multiply to (x+3) to yield x2 - 2x - 15? That would be x - 5. Since the sum of -5 and 3 = -2 (middle term) and the their product is -15 (last term).

Hence, the width is (x-5).
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3 0
3 years ago
A manufacturing company has the following fixed monthly costs and unit variable costs: Rent = $2,200 Utilities = $375 Variable c
valentinak56 [21]

A manufacturing company has the following fixed monthly costs and unit variable costs:

Rent = $2,200

Utilities = $375

Variable costs for materials and assembly = $13.25/unit

Monthly labor = $750

Given is the product is sold at $24.99 per unit

Let the number of units sold be x

Adding total cost = 2200+375+750=3325

Equation becomes:

3325+13.25x=24.99x

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3 0
3 years ago
How many feet long is the fence ?
grandymaker [24]

Answer:

50 feet long

Step-by-step explanation:

Use the Pythagorean theorem to find the value of the missing side. The pythagoreon theorem only works with right triangles such as this one.

a²+b²=c²

Where a and b are length of legs (sides) of a triangle. And c is the length of the hypotenuse. The hypotenuse is the side across from the right angle.

We know by looking at the image posted in the question, that one leg of the triangle is 14 feet. And another leg is 48 feet. (Length of picnic area) (length of campground)

14²+48²=c²

Simplify

196+2304=2500

Find square root of 2500

√(2500)=50

So 14²+48²=50²

The missing side is 50 feet long. The fence is 50 feet long.

Attached is another example.

7 0
3 years ago
The number of days (d) is equal
Svetradugi [14.3K]

Answer:

B

Step-by-step explanation:

d \:  =  \frac{h}{24}

h \:  = 24d

5 0
3 years ago
I NEED HELP NOW ITS DUE TOMORROW!
beks73 [17]

Answer:

2 2/5

Step-by-step explanation:

14 divided by 5/6 is 2 2/5

3 0
2 years ago
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