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Snowcat [4.5K]
3 years ago
14

Select all the lines that represent functions

Mathematics
1 answer:
fredd [130]3 years ago
5 0

Answer:

B, C, D are functions

Step-by-step explanation:

Functions are those that do not share an x value.  Look at A.  x-values are used twice everywhere except the vertex.  This is not a function, it is just a relation.  B does not at any time share x-values, so this is a function.  C is also a function, and so is D.  F is a vertical line that shares the same x value throughout the whole line, so this is definitely not a function.

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The perpendicular bisector of the line segment connecting the points $(-3,8)$ and $(-5,4)$ has an equation of the form $y = mx +
docker41 [41]

Answer:

m = -1/2 and b = 6.5

Step-by-step explanation:

To find the slope of the original line segment, we have to do the change in y/the change in x:

(4-8)/(-5--3) = -4/-2 = 2

2 is the slope of the original line segment, but since this is the perpendicular bisector, we have to take the negative reciprocal of 2 so m = -1/2

To find b we substitute the values of x, y, and m into the equation. Let's use the x value of -3 and the y value of 8:

y = mx + b

8 = -1/2(-3) + b

8 = 3/2 + b

6.5 = b

5 0
4 years ago
The statue of Liberty stands on a 150 ft. pedestal. From a point 250 ft. from the base of the
bekas [8.4K]

Answer:

148ft

Step-by-step explanation:

To solve this question, you'll have to imagine the statue makes a right angle triangle with the base since it has an angle of elevation from the base to the top of the torch.

Assuming the height from the pedestal to the top of the torch is y

The height of the statue is x

But we know the height of the pedestal = 150ft

The distance from the observer to the base of the pedestal = 250ft

And the angle of elevation = 50°

See attached document for better illustration.

Tanθ = opposite / adjacent

θ = 50°

Adjacent = 250

Opposite = y

Tan50 = t / 250

y = 50 × tan50

y = 50 × tan50

y = 50 × 1.1917

y = 297.925ft

The height of the statue from the base of the pedestal to the top of the torch is 297.925ft

The height of the statue = x

x = (height of the statue + height of the pedestal) - height of the pedestal

x = y - 150

x = 297.925 - 150

x = 147.925ft

Approximately 148ft

The height of the statue is 148ft

4 0
3 years ago
5 × 1/ 2 A) More than 5 because you are multiplying by a whole number
sertanlavr [38]
D, hope this helps because 1/2 is less than 1. and 5*1/2 is 2.5 and that is less than 5

6 0
3 years ago
Consider the absolute value
ICE Princess25 [194]

Answer:

Step-by-step explanation:

f(x) = - | x + 2 | + 2

The vertex of the function is a <em>max of the function</em> at <em>( - 2 , 2 )</em>

7 0
2 years ago
The area of a square is calculated by squaring the length of one side of the square. Which graph represents this situation?
Marrrta [24]
Omg I’m so sorry I’m not giving you your answer but I need to comments so I can post my questions hope you get your answer!
4 0
3 years ago
Read 2 more answers
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