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andreyandreev [35.5K]
3 years ago
13

Which of the following terms best describes a vertical line that the graph of a

Mathematics
1 answer:
Effectus [21]3 years ago
6 0

Answer:

Might not be answer but.

Step-by-step explanation:

Parallel lines are coplanar lines (in the same plane) that never intersect (never cross each other). The slope of a line measures its steepness (or its angle from the horizontal). Lines that are parallel have the same steepness (or the same angle from the horizontal).

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Kathy is fencing in her yard that has an area of 800 square feet. Her yard is in the shape of a rectangle where the length is 60
anygoal [31]

Answer:

The dimensions of the yard are W=20ft and L=40ft.

Step-by-step explanation:

Let be:

W: width of the yard.

L:length.

Now, we can write the equation of that relates length and width:

L=5W-60 (Equation #1)

The area of the yard can be expressed as (using equation #1 into #2):

Area=W*L=W*(5W-60) (Equation #2)

Since the Area of the yard is 800 ft^2, then equation #2 turns into:

800=W*(5W-60)

Now, we rearrange this equation:  

800=W*(5W-60)//800=5W^2-60W//5W^2-60W-800=0

We can divide the equation by 5 :

W^2-12W-160=0

We need to find the solution for this quadratic. Let's find the factors of 160 that multiplied yields -160 and added yields -12. Let's choose -20 and 8, since (-20)*8=160 and -20+8=-12. The equation factorised looks like this:

(W-20)(W+8)=0

Therefore the possible solutions are W=20 and W=-8. We discard W=-8 since width must be a positive number. To find the length, we substitute the value of W in equation #1:

5*20-60=40

Therefore, the dimensions of the yard are W=20ft and L=40ft.

7 0
2 years ago
D(n) = -5 (1/2)n-1<br> What is the 3rd term in the sequence?
jonny [76]

Answer:

-5

Step-by-step explanation:

dₙ = -5 (1/2)n-1

the 3rd term in the sequence means n = 3

d₃ = -5(1/2)(3-1) = -5(1/2)(2) = -5

3 0
3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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What is the value of x in the figure?
Anika [276]
The value of x is 136 degrees
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