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3 years ago

What is the slope of a line that is parallel to the line y=3/4x+2

1 answer:

4 0

If two lines are parallel to one another, then their slopes are identical. The slope in the line above is 3/4. Therefore, a line parallel to that line will also have a slope of 3/4, it will just have a different y-intercept.

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The graph of y=x^3 is transformed as shown in the graph below. With. Equation represents the transformed function

taurus [48]

Answer: y' = (-x)^3 - 4

Step-by-step explanation:

The graph y = f(x) = x^3 passes trough the point (0,0)

because when x = 0

f(0) = y = 0^3 = 0

in the graph of the image, we can see that the graph intersects the y-axis in the point (0, -4)

This means that we have a vertical displacement of 4 units downwards.

When we have a graph y = f(x), a vertical translation of A units can be written as

y' = f(x) + A

If A is positive, the displacement is upwards, if A is negative, the displacement is downwards.

So if the displacement is of 4 units down, A = -4

We also have that when x is negative, the value of y is positive.

But in our original function, we have that for x = -1, y = (-1)^3 = -1

so in our original function, when x is negative also does y.

Then we also did a reflection around the y-axis, this means that we now evaluate the function in -x instead of x.

So the equation of the graph is:

y' = (-x)^3 - 4

8 0

3 years ago

What is the relationship between angle a and angle b A) Vertical Angles B) Complementary Angles C) Supplementary Angles D) None

lesya692 [45]

Answer:

B. Complementary Angles

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Could you help me with this page

NeTakaya

5. area 0.75*2*0.75*2=2.25 m²

scale 1 in.=2 m so

8 0

3 years ago

when your finding the area of a rectangle do you multiply the numbers around the perimeter or add them.

Flura [38]

When you are finding the area, you multiply the length x the width. So for example, we have a rectangle that the length is 6 feet and the width is 4 feet. So, first of all we multiply 6x4= 24. Since its area don't forget it is Square Feet (or any other type of measurement).

Hope it helps!

3 0

3 years ago

A new car is available with standard or automatic transmission, two or four doors, and it is available in 10 exterior colors. Wh

dezoksy [38]

Answer:

Step-by-step explanation:

Given that:

Number of options available for transmission = 2 (Standard or Automatic)

Number of options for doors = 2 (2 doors or 4 doors)

Number of exterior colors available = 10

To find:

Total number of outcomes = ?

Solution:

First of all, let us calculate the number of outcomes for the transmission mode and number of doors options.

1. Standard - 2 doors

2. Standard - 4 doors

3. Automatic - 2 doors

4. Automatic - 4 doors

Number of outcomes possible = 4 (which is equal to number of transmission mode available multiplied by number of doors options i.e. 2 $\times 2$ )

Now, these 4 will be mapped with 10 different exterior colors.

Therefore total number of outcomes possible :

Number of transmission modes $\times$ Number of doors options $\times$ Number of exterior colors

2 $\times$ 2 $\times$ 10 = <em>40</em>

3 0

3 years ago