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Leviafan [203]
2 years ago
11

The length of a rectangle is four times the width. The perimeter of the rectangle is 45 inches. Write a system of equations that

represents this problem. What is the area of the rectangle​
Mathematics
1 answer:
Nady [450]2 years ago
8 0

Step-by-step explanation:

2×length + 2×width = 45

length = 4×width

now, we are using the second equation (a variable identity) in the first equation

2×4×width + 2×width = 45

8×width + 2×width = 45

10×width = 45

width = 45/10 = 4.5 in

length = 4×width = 4×4.5 = 18 in

the area of the rectangle is

length × width = 18 × 4.5 = 81 in²

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I’ll give brainliest pls help
andrew11 [14]

Answer:

The slopes of WX and XZ

Step-by-step explanation:

The singular factor that determines if the parallelogram is a rectangle are the angles at the edges

Mathematically, we can only have a rectangle if there are four right angles with one right angle each at the edges of the rectangle

So, by having the slope of the sides forming the width and that which forms the length, we can deduce if what we have is rectangle given that the slopes will yield a perpendicular product

Hence, the slopes of WX and XZ can be calculated to show this

7 0
3 years ago
The vertex of the graph of a quadratic function is (2, –1) and the y-intercept is (0, 7). Which of the following is the equation
liraira [26]
I think is d I wanna say D..it might be wrong tho

4 0
3 years ago
Read 2 more answers
Use the "mixed partials" check to see if the following differential equation is exact. If it is exact find a function F(x,y) who
Arturiano [62]

We have

(-3xy^2+y)_y=--6xy+1

and

(-3x^2y+x)_x=-6xy+1

so the equation is indeed exact. So we want to find a function F(x,y)=C such that

F_x=-3xy^2+y

F_y=-3x^2y+x

Integrating both sides of the first equation wrt x gives

F(x,y)=-\dfrac32x^2y^2+xy+f(y)

Differentiating both sides wrt y gives

F_y=-3x^2y+x=-3x^2y+x+f_y\implies f_y=0\implies f(y)=C

So we have

F(x,y)=-\dfrac32x^2y^2+xy+C=C

or

F(x,y)=\boxed{-\dfrac32x^2y^2+xy=C}

3 0
3 years ago
Carmen lives in Maine and pays 5% in sales tax. She just bought $70 in
galina1969 [7]

Answer:

The correct answer is option A.

Step-by-step explanation:

Let's start by analyzing the information we have.

We know that Carmen pays 5% tax on everything she buys, and has made a purchase of $ 70.

But they also tell us that there is $ 25 of that purchase that will not be charged with taxes.

Therefore, what will be charged with taxes will be:

70-25 = 45

Now we must know how much is 5% of 45 and that we can find out by multiplying 45 by 0,05:

45.0,05 = 2,25

Now that we know that the tax was 2.25, we just have to add it to the total purchase to find out how much Carmen paid:

2.25 + 70 = 72.25

Therefore, the total value of the purchase is 72.25.

8 0
3 years ago
Read 2 more answers
Arthur is organising his collection of dvds he has 135 altogether. The ratio of comedy films to action horror is 6 : 8 : 1
Nina [5.8K]

Answer: See explanation

Step-by-step explanation:

The number of comedy films will be:

= 6/(6+8+1) × 135

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= 54 comedy films

The number of action films will be:

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= 72 action films

The number of horror films will be:

= 1/(6+8+1) × 135

= 1/15 × 135

= 9 horror films

5 0
3 years ago
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