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3 years ago

What’s the correct answer for this question?

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

8 0

Answer:

Step-by-step explanation:

Perpendicular => so it will have a slope of negative reciprocal to this slope

Slope = 2/3

Now

Point = (x,y) = (6,5)

So,

x = 6, y = 5

Substituting in the slope intercept form

5 = (2/3)(6)+b

5 = 4+b

=> b = 1

So, we have

m = 2/3

b = 1

Putting in the slope intercept equation

y = 2/3x+1

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A sinusoidal function whose period is 1/2, maximum value is 10, and minimum value is -4, has a y-intercept of 3. What is the equ

nikdorinn [45]

Period of sin wave = 1/2
Period of parent sine function is 2π.

This means the x value of sine function (sin(x)) has to be divided by 4π to get a period of 1/2 because 2π/4π = 1/2

Thus, our function will be of the form: $sin( \frac{x}{4 \pi })$

Maximum Value = 10
Minimum Value = -4

Amplitude of the function = (Maximum Value - Minimum Value)/2
So, amplitude of the function is 7

Thus, the function will be of the form:

$7sin( \frac{x}{4 \pi } )$

The function has a y-intercept other than zero, this means the function will be of the form:

$y=7sin( \frac{x}{4 \pi } )+k$

The y-intercept is 3. This means for x=0, y=3. Using the values, we get:

$3=7sin(0)+k \\ \\ 
3=k$

Thus the equation of the sinusoidal function becomes:

$y=7sin( \frac{x}{4 \pi } )+3$

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3 years ago

Wrench sets designed for SI bolts often include wrenches at 1 mm increments while wrench sets designed for imperial bolts often

juin [17]

So 5/8 inches to milimeters
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3 years ago

Jessica sold half of her comic books

emmasim [6.3K]

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3 years ago

Read 2 more answers

Select the correct answer. A triangle with vertices at A(0, 0), B(0, 4), and C(6, 0) is dilated to yield a triangle with vertice

erma4kov [3.2K]

Answer:

* The scale factor of the dilation is 2.5

Step-by-step explanation:

* Lets talk about dilation

- A dilation is a transformation that changes the size of a figure.

- It can become larger or smaller, but the shape of the

figure does not change.

- The scale factor, measures how much larger or smaller

the image will be

- If the scale factor greater than 1, then the image will be larger

- If the scale factor between 0 and 1, then the image will be smaller

* In the problem

- The vertices of the triangle is A (0 , 0) , B (0 , 4) , C (6 , 0)

and its image A' is (0 , 0) , (0 , 10) , (15 , 0)

∵ 10 ÷ 4 = 2.5

∵ 15 ÷ 6 = 2.5

∴ The scale factor is 2.5

∵ 2.5 > 1

∴ The image of the triangle will be larger

* The scale factor is 2.5

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3 years ago

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slega [8]

Answer:

2 because negatives arent greater than whole numbers

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