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2 years ago

I need help with this question for my 8th grade math test

Mathematics

1 answer:

bezimeni [28]2 years ago

3 0

Transforming the points involves changing their coordinates

The image of the points are: (3, 6), (-11, 12) and (-3, -12)

<h3>How to complete the transformations?</h3>

The coordinates of the points are given as:

X(2, 4)

Y(5,-3)

Z(-7, 1)

<u>a) Rotate the points 90 degrees clockwise</u>

The rule of this transformation is:

(x, y) to (y, -x)

So, we have:

X' = (4, -2)

Y' = (-3, -5)

Z' = (1, 7)

<u>b) Dilation by a scaling factor of 2</u>

The rule of this transformation is:

(x, y) to (2x, 2y)

So, we have:

X'' = (8, -4)

Y'' = (-6, -10)

Z'' = (2, 14)

<u>c) Reflect across the x-axis</u>

The rule of this transformation is:

(x, y) to (x, -y)

So, we have:

X''' = (8, 4)

Y''' = (-6, 10)

Z''' = (2, -14)

<u>d) Translation 2 Up and 5 to the Left</u>

The rule of this transformation is:

(x, y) to (x -5, y + 2)

So, we have:

X'''' = (3, 6)

Y'''' = (-11, 12)

Z'''' = (-3, -12)

Hence, the image of the points are: (3, 6), (-11, 12) and (-3, -12)

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Which is proportional to 3/4?

Serjik [45]

6/8 because 3/4*2=6/8
hope this helps

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3 years ago

The volume of a rectangular pyramid is 900 cubic centimeters.It has a length of 10 centimeters and a width of 9 centimeters. Wha

MariettaO [177]

The height of a rectangular pyramid is 30 cm.

volume of rectangular pyramid = (length x width x height) / 3

Given:
Volume = 900 cm³
Length = 10 cm
Width = 9 cm
Height = ?

V = lwh/3
900 cm³ = (10cm * 9cm * h)/3
900 cm³ * 3 = (90cm² * h)/3 * 3
2700 cm³ = 90cm² * h
2700 cm³/90cm² = 90cm² * h/90 cm²
30 cm = h

to check:
900 cm³ = (10 cm * 9 cm * 30 cm)/3
900 cm³ = 2700 cm³/3
900 cm³ = 900 cm³

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3 years ago

Using the distributive property which of the following expressions is equivalent to 6(3+6y)

creativ13 [48]

18+36y is equal to that equation

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4 years ago

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Solve for m k=mvsquared/2

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Answer:

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Step-by-step explanation:

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2 years ago

What is the equation of the following graph in vertex form? parabolic function going down from the left through the point negati

Anestetic [448]

A parabolic function's key characteristic is either having 2 x-intercepts or 2 y-intercepts. That is the reason why the standard form of parabolic functions are:

(x-h)^2 = +/- 4a(y-k) or (y-k)^2 = +/- 4a(x-h), where

(h,k) is the coordinates of the vertex
4a is the lactus rectum
a is the distance from the focus to the vertex

This is also called vertex form because the vertex (h,k) is grouped according to their variable.

Since we don't know any of those parameters, we'll just have to graph the data points given as shown in the picture. From this data alone, we can see that the parabola has two x-intercepts, x=-4 and x=-2. Since it has 2 roots, the parabola is a quadratic equation. Its equation should be

y = (x+4)(x+2)
Expanding the right side
y = x²+4x+2x+8
y = x²+6x+8
Rearrange the equation such that all x terms are on one side of the equation
x²+6x+___=y-8+___
The blank is designated for the missing terms to complete the square. Through completing the squares method, you can express the left side of the equation into (x-h)² form. This is done by taking the middle term, dividing it by two, and squaring it. So, (6/2)²=9. Therefore, you put 9 to the 2 blanks. The equation is unchanged because you add 9 to both sides of the equation.

The final equation is
x²+6x+9=y-8+9
(x+3)²=y+1

6 0

3 years ago