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nikdorinn [45]
3 years ago
10

The length of a rectangle is 1 ft more than double the width, and the area of the rectangle is 45 ft2 . find the dimensions of t

he rectangle.
Mathematics
1 answer:
algol [13]3 years ago
3 0
A = L * W
A = 45
L = 2W + 1

45 = W(2W + 1)
45 = 2W^2 + W
2W^2 + W - 45 = 0
(2W - 9)(W + 5) = 0

W + 5 = 0
W = -5...not this one because it is negative

2W - 9 = 0
2W = 9
W = 9/2
W = 4.5 <=== the width is 4.5 ft

L = 2W + 1
L = 2(4.5) + 1
L = 9 + 1
L = 10 <=== the length is 10 ft
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3 years ago
What statements about the graphs of these two functions are true?
tamaranim1 [39]

Answer:

B)Only one graph intersects the y-axis above y=0

Step-by-step explanation:

Both functions are in y=mx+b. The y-intercept  is b.

f(x) has the y-intercept 3. It intersects above y=0.

g(x) has the y-intercept -4. It intersects below y=0.

This means B is correct.


5 0
3 years ago
Owen used these steps to solve the equation 4x+7=1+2(2x+3). Which choice describes the meaning of his result, 7=7?
ivanzaharov [21]

Answer:

Option D. All values of x make the equation true

Step-by-step explanation:

<u><em>The options of the question are</em></u>

a.The result is not correct because Step 2 has an error.

b.The solution is x=7.

c.No values of x make the equation true.

d.All values of x make the equation true

we have the equation

4x+7=1+2(2x+3)

solve for x

Apply distributive property right side

4x+7=1+4x+6

Combine like terms

4x+7=4x+7

subtract 4x both sides

7=7

The equation has infinity solutions

.All values of x make the equation true

6 0
3 years ago
A rectangular prism has a length of 13 feet, a height of 2 feet, and a width of 4 feet. what is its volume, to the nearest, in c
ioda

Answer:104ft^3

Step-by-step explanation:

volume=length x width x height

Volume=13 x 4 x 2

Volume=104ft^3

5 0
3 years ago
Pls answer this i need help
Vitek1552 [10]

Step-by-step explanation:

your don't see what went wrong ?

Tyrell worked on

16 - 2(4 + 3x)

what do brackets mean ? they mean that this operation has to be done before everything else in the expression.

as this contains a variable, we cannot fully calculate it, true, but we need to keep this in mind and always treat the content of the brackets as one package.

so, whatever I do from the outside with one part of that package, I have to do also with all the other parts of that package.

so, the multiplication with -2 has to happen with both : 4 and 3x. not just with 4.

therefore, the correct simplification looks like

16 - 8 - 6x

8 - 6x or -6x + 8

Amelia multiplied correctly, but then made a mistake summing things up

10x - 3(4x + 1)

10x - 12x - 3

10x - 12x = -2x

I can't mix the pure constant -3 into the factors of x. that would be like the famous mixing of apples and oranges.

so, the result is

-2x - 3

6 0
3 years ago
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