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Advocard [28]
3 years ago
8

16. Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.

Mathematics
1 answer:
il63 [147K]3 years ago
4 0

Answer:

Given equation are:

y = -\frac{1}{4}x+8                  ......[1]

-2x+8y = 4                             .....[2]

  • The two lines are parallel lines then their slopes will be equal.
  • When two lines are perpendicular then, the slope of lines are the negative reciprocals of each other.

Now, Equation of a line is in the form of y =mx+b where m is the slope of the line.

Slope(m_1) of equation of line in [1] is;

y = -\frac{1}{4}x+8  

then;

m_1= -\frac{1}{4}

Slope(m_2) of equation of line in [2];

-2x+8y = 4

Add both sides 2x we get;

-2x + 8y + 2x = 2x + 4

Simplify:

8y = 2x +4

Divide both sides by 8 we get;

y = \frac{1}{4} x + \frac{1}{2}

then;

m_2 = \frac{1}{4}

Therefore, the given two lines are neither parallel nor perpendicular.

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CaHeK987 [17]

Answer:

4/3

Step-by-step explanation:

find common denomerator which is 12

so times 3/4 by 3

now its 9/12 + 7/12

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3 0
3 years ago
Read 2 more answers
"Rebecca walks 100 feet in a straight line. She then turns 20 degrees to her left and walks another 100 feet, and then turns 20
iragen [17]

Answer:

1,800 ft

Step-by-step explanation:

Rebecca will walk in the pattern of a regular polygon with 'n' sides and internal angles of 160 degrees (180 at a straight line - 20 degrees from each turn).

The equation that describes the internal angle of a regular polygon is:

A = \frac{(n-2)*180}{n}

For A = 160 degrees:

160n=(n-2)*180\\(180-160)n=360\\n=18\ sides

If each side is 100 ft long, the total distance that Rebecca has walked is:

d = 18*100\\d=1,800\ ft

She walked 1,800 ft.

5 0
2 years ago
<img src="https://tex.z-dn.net/?f=27%20%5Ctimes%20%5Cpi%20%3D%20%5Cpi%20%5Ctimes%2027" id="TexFormula1" title="27 \times \pi = \
Tju [1.3M]

I'm not sure what the question is here. If an answer is communicative property, go with that. If it is asking for \pi x 27, the answer is about 84.8230016469.

6 0
3 years ago
Find the solution of the system of equations shown on the graph.
Digiron [165]
The answer for this question is Y=3x+1
8 0
2 years ago
Please help if you can :)
crimeas [40]

The graph is Parabola or Graph of Quadratic Function.

The graph has minimum value, not maximum. So ( A ) is not correct for maximum part.

B is not correct for exponential part.

also C is not correct for discrete part as Quadratic graph is continuous.

So the answer is D.

7 0
2 years ago
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