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3 years ago

Which transformation will be equivalent to rotating a figure 90° counterclockwise?

Mathematics

2 answers:

aleksandrvk [35]3 years ago

8 0

I believe it would be A. Reflecting over the x-axis and the y-axis. I hope this helps you please let me know

enyata [817]3 years ago

8 0

Answer:

C) Reflecting over the x-axis and then reflecting over the line y = x.

Step-by-step explanation:

A rotation 90° counterclockwise will map every point (x, y) to (-y, x).

Since the x- and y-coordinates are switched, this is not a reflection across the x-axis followed by a reflection across the y-axis.

Since the y-coordinate is negated and the x- and y-coordinates are switched, this is not a translation.

Reflecting across the x-axis will negate the y-coordinate, giving us (x, -y). Following this with a reflection across y=x will switch the coordinates giving us (-y, x). This is the correct transformation.

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A rectangle has a length of 2x+7 and a width of 3x+8.

Phantasy [73]

Answer:

Below.

Step-by-step explanation:

Perimeter = 2(2x + 7 + 3x + 8)

= 2(5x + 15)

= 10x + 30.

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2 years ago

What is the area of triangle ABC? Round to the nearest tenth of a square unit. square units

Akimi4 [234]

Use the formula.

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3 years ago

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Please help with this question!

ZanzabumX [31]

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2 years ago

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Which equation does the graph of the systems of equations solve?

mihalych1998 [28]

Answer:

$\text{B. }\frac{1}{3}x-3=-x+1$

Step-by-step explanation:

Let's start by taking a look at the blue line. The slope of any line that passes through two points is equal to the change in y-values over the change in x-values. We can see that the line passes through points (0, 1) and (1, 0). Assign these points to $(x_1,y_1)$ and $(x_2, y_2)$ (doesn't matter which you assign) and use the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Let:

$(x_1,y_1)\implies (0,1)\\(x_2,y_2)\implies (1, 0)$

The slope is equal to:

$m=\frac{0-1}{1-0}=\frac{-1}{1}=-1$

Therefore, the slope of this line is -1. In slope-intercept form $y=mx+b$ , $m$ represents slope, so one of the lines must have a term with $-x$ in it, which eliminates answer choices A and D.

For the second line, do the same thing. The red line clearly passes through (0, -3) and (3, -2). Therefore, let:

$(x_1,y_1)\implies (0,-3)\\(x_2,y_2)\implies (3, -2)$

Using the slope formula:

$m=\frac{-2-(-3)}{3-0}=\frac{1}{3}$

Thus, the slope of the line is 1/3 and the other line must have a term with $\frac{1}{3}x$ in it, eliminating answer choice C and leaving the answer $\boxed{\text{B. }\frac{1}{3}x-3=-x+1}$

*You can find the exact equation of each line by using the slope formula as shown and plugging in any point the line passes through into $y=mx+b$

7 0

2 years ago

Time Warner Cable charges $30 per hour and a trip fee of $55 for each service call.

r-ruslan [8.4K]

Answer:

y=30x+55

Step-by-step explanation:

$55 is constant because for each trip he will take $55 dollars so that gives you your y-intercept and m=$30 and x is the amount of hours worked. every time x increases he will be making more money

3 0

2 years ago