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Archy [21]
3 years ago
14

The line below are parallel. If the green line has a slope of -1/2, what is the slope of the red line?

Mathematics
2 answers:
Aliun [14]3 years ago
8 0

Answer: B. \dfrac{-1}{2}

Step-by-step explanation:

In the given picture, we have two lines area parallel, one is red and other is green.

We know that the slopes of parallel lines are equal.

Therefore, if the green line has a slope of \dfrac{-1}{2} then ,the slope of red line will also be \dfrac{-1}{2} because they are parallel.

Hence, B is the correct option.

Phoenix [80]3 years ago
7 0

Answer:

The slope of the red line is -1/2

Step-by-step explanation:

Parallel lines always have the same slope

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3 years ago
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vladimir1956 [14]
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3 years ago
1. What are the solutions (coordinate points) to the system of equations?
Leto [7]

Question 1

The given system of equations is:

y =  {x}^{2}  + 5x + 6 \\ y = 3x + 6

Equate the two equations:

{x}^{2}  + 5x + 6 = 3x + 6

Rewrite in standard form:

{x}^{2}  + 5x - 3x + 6 - 6 = 0

{x}^{2}   + 2x = 0

x(x + 2) = 0

x = 0 \: or \: x =  - 2

When we put x=0, in y=3x +6, we get:

y = 3(0) + 6 = 6

One solution is (0,6)

When we put x=-2, into y=3x+6, we get:

y = 3( - 2) + 6 = 0

Another solution is (-2,0)

The solutions are; (0,6) and (-2,0)

Question 2:

The function is

f(x) =  {x}^{6}  -  {x}^{4}

Let us put x=-x,

f( - x) =  {( - x)}^{6}  -  {( - x)}^{4}

This gives:

f( - x) =  {x}^{6}  -  {x}^{4}

We can observe that:

f(x) = f( - x)

This is the property of an even function.

Question 3:

The given function is

f(x) =  {x}^{2}  + 3x - 2

The average rate of change of f(x) from x=a to x=b is given as:

\frac{f(b) - f(a)}{b - a}

This is the slope of the secant line connecting the two points on f(x)

From x=2 to x=6, the average rate of change

=  \frac{f(6) - f(2)}{6 - 2} \\   =  \frac{ {6}^{2}  + 3 \times 6 -  2 -  {2}^{2}   -  3 \times 2  + 2 }{4} \\   =  \frac{36 + 18 - 4  - 6}{4}  \\  =  \frac{44}{4}   \\ = 11

The average rate of change is 11

3 0
3 years ago
30 POINTS FOR THIS QUESTION PLEASE HELP ME!!
AveGali [126]
The zeroes (where the line crosses the x-axis, these are also the solutions) and the vertex (the highest or lowest point)
3 0
2 years ago
If the perimeter of a rectangular picture frame must be less than 180 in, and the width is 26 in, what must the height h of the
valentinak56 [21]
You would form this inequality:

52 + 2x < (or equal to) 180

Then, solve as you would in an ordinary equation.

Subtract 52 from both sides of the sign. 180 - 52 = 128.

So, 2x is less than or equal to 128.
Divide 128 into two to get 64.

The height of the frame must be 64 inches.
4 0
3 years ago
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