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allochka39001 [22]
2 years ago
11

Part B: A triangle has vertices A (-2, 3), B (0, 0), and C (1, 2). What are the coordinates of the vertices if the original tria

ngle is dilated by a scale factor of 3 and then reflected over the x-axis?
Mathematics
1 answer:
Black_prince [1.1K]2 years ago
5 0

Answer:

(-6,-9) , (0,0) and (3,-6)

Step-by-step explanation:

Here, we want to find new coordinates after dilating by 3 and reflecting over x-axis

By dilating by a factor of 3, we multiply each term by 3

We have the following;

A’(-6,9) B’(0,0) and C’ (3,6)

Now if we want to reflect the point (x,y) over x-axis, what we shall have is (x,-y)

So the vertices will be as follows;

(-6,-9) , (0,0) and (3,-6)

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What is an equation of the line that passes through the points (-6, -2) and
den301095 [7]

Answer:

The equation of line is: \mathbf{4x-3y=-18}

Step-by-step explanation:

We need to find an equation of the line that passes through the points (-6, -2) and  (-3, 2)?

The equation of line in slope-intercept form is: y=mx+b

where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding Slope

Slope can be found using formula: Slope=\frac{y_2-y_1}{x_2-x_1}

We have x_1=-6,y_1=-2, x_2=-3, y_2=2

Putting values and finding slope

Slope=\frac{2-(-2)}{-3-(-6)}\\Slope=\frac{2+2}{-3+6} \\Slope=\frac{4}{3}

So, we get slope: m=\frac{4}{3}

Finding y-intercept

Using point (-6,-2) and slope m=\frac{4}{3} we can find y-intercept

y=mx+b\\-2=\frac{4}{3}(-6)+b\\-2=4(-2)+b\\-2=-8+b\\b=-2+8\\b=6

So, we get y-intercept b= 6

Equation of required line

The equation of required line having slope m=\frac{4}{3} and y-intercept b = 6 is

y=mx+b\\y=\frac{4}{3}x+6

Now transforming in fully reduced form:

y=\frac{4x+6*3}{3} \\y=\frac{4x+18}{3} \\3y=4x+18\\4x-3y=-18

So, the equation of line is: \mathbf{4x-3y=-18}

6 0
2 years ago
If the diameter of a circle is 3 and pi=3.14, what is the circumference? Im confused on how to get the circumference.
Afina-wow [57]

Answer:

9.426 units

Step-by-step explanation:

Given data

Diameter= 3 units

Radius= 1.5 units

The circumference is given as

C=2πr

C=2*3.142*1.5

C=9.426 units

Hence the circumference is 9.426 units

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Find the range of f(x)=-2x+6 for the domain {-1, 3, 7, 9}
velikii [3]

Answer:

8, 0, -8, -12

Step-by-step explanation:

3 0
3 years ago
Simplify the expression below. 2x - 10 + 6x
PtichkaEL [24]

Answer:

8x - 10

Step-by-step explanation:

Combine like terms:

2x + 6x - 10

= 8x -10

4 0
2 years ago
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The rental rate for a cement mixer has a flat rate of $40 plus $20 for each day of the rental. The graph shows points representi
Fiesta28 [93]

Answer:

Step-by-step explanation:

y= 20x+40

y- is the cost of rental

x-number of days

20 is the slope

40-flat rate and the y-intercept is at (0,40)

4 0
2 years ago
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