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Zinaida [17]
3 years ago
7

the perimeter of a rectangle field is 340 yd. the length is 30 yd longer than the width. find the dimensions

Mathematics
2 answers:
zvonat [6]3 years ago
8 0

Lets assume:

Width=x

Length=x+30

2x+2(x+30)=340

2x+2x+60=340

4x+60=340

4x=280

x=70

Plugging x in:

Width=70

Length=100

Ivahew [28]3 years ago
4 0
Let l: length, w=width
2(l+w)=340, l=w+30
l+w=170
w+30+w=170
2w=140
w=70 yd.
l=70+30=100 yd
So the length of the rectangle field is 100 yd. and the width of the rectangle field is 70 yd. Hope it help!
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Which line is parallel to the line<br> shown below?
Travka [436]
<h3>Answer:  Choice D</h3>

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Explanation:

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(x_1,y_1) = (-1,-1) \text{ and } (x_2,y_2)  = (2,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - (-1)}{2 - (-1)}\\\\m = \frac{3 + 1}{2 + 1}\\\\m = \frac{4}{3}\\\\

The slope is 4/3 meaning we go up 4 and to the right 3.

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Parallel lines have equal slopes, but different y intercepts. We'll need to see which of the four answer choices have a slope of 4/3.

Solve the equation in choice A for y. The goal is to get it into y = mx+b form so we can determine the slope m.

3x + 4y = -4\\\\4y = -3x-4\\\\y = -\frac{3}{4}x-\frac{4}{4}\\\\y = -\frac{3}{4}x-1

Equation A has a slope of -3/4 and not 4/3 like we want.

Therefore, this answer choice is crossed off the list.

Follow similar steps for choices B through D. I'll show the slopes of each so you can check your work.

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We have a match with equation D. Therefore, the equation 4x-3y = 15 is parallel to the given line shown in the graph.

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4 0
10 months ago
4x + 5y = 10
Vika [28.1K]

Answer:

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

Step-by-step explanation:

Given equations are:

4x + 5y = 10

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The general form of linear equation in two variables is given by:

ax+by = c

Here a, b and c are constants and x,y are variables.

In the given equations, after comparing with the general form

a_1 = 4\\b_1 = 5 \\c_1 = 10\\a_2 = A\\b_2 =B\\c_2 = 16

"In order for a system of equations to have infinity many solutions,

\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2} "

Putting the values we get

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