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2 years ago

Slope 1/3 passing through the points (-3,-4)

Mathematics

1 answer:

saw5 [17]2 years ago

6 0

Answer:

y=1/3x-3

Step-by-step explanation:

use the eqation y-y1 = m(x-x1)

plug in slop as m and points as x and y

so now you have --> y-(-4)=1/3(x-(-3))

two negatives = a positive --> y+4=1/3(x+3)

distribute the 1/3 --> y+4= 1/3x + 1

subtract 4 from both sides --> y= 1/3x - 3

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Find the lateral area of the regular prism with height h, if the base of the prism is: Equilateral triangle with the side 4 cm a

Shtirlitz [24]

Equilateral triangle with the side 4 cm and h=2.5 cm

In equilateral triangle all sides are equal

so all sides are equal in the base of the prism

lateral area of the prism = Perimeter of the base * height

Perimeter of the base equilateral triangle = side + side + side

lateral area of the prism =(side + side + side) * height

= (4+4+4) * 2.5

= $30 cm^2$

lateral area of the prism = $30 cm^2$

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2 years ago

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If a projectile is fired straight upward from the ground with an initial speed of 64 feet per

natali 33 [55]

Answer:

h = 64 feet

Step-by-step explanation:

If you graph the function you see that 64 feet is the maximum of the parabola so this is the max height that the projectile reaches.

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3 years ago

Any line with no slope is parallel to the *x-axis *y-axis *line y = x

Aleks04 [339]

The x-axis.

In the form Y = mx + b

m is the slope, so no slope means that my is zero so that means x is zero also.

So you would end up with

y = b so that means y will always be that value and the only thing that will change is the x value. This will create a horizontal lines that is parallel to the x-axis

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3 years ago

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3 years ago

identify the amplitude and period of the function then graph the function and describe the graph of G as a transformation of the

mrs_skeptik [129]

Given the function:

$g(x)=cos4x$

Let's find the amplitude and period of the function.

Apply the general cosine function:

$f(x)=Acos(bx+c)+d$

Where A is the amplitude.

Comparing both functions, we have:

A = 1

b = 4

Hence, we have:

Amplitude, A = 1

To find the period, we have:

$\frac{2\pi}{b}=\frac{2\pi}{4}=\frac{\pi}{2}$

Therefore, the period is = π/2

The graph of the function is shown below:

The parent function of the given function is:

$f(x)=cosx$

Let's describe the transformation..

Apply the transformation rules for function.

We have:

The transformation that occured from f(x) = cosx to g(x) = cos4x using the rules of transformation can be said to be a horizontal compression.

ANSWER:

Amplitude = 1

Period = π/2

Transformation = horizontal compression.

8 0

9 months ago