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Likurg_2 [28]
3 years ago
10

Which of the rectangles in the picture could be the image of rectangle A after a sequence of reflections, rotations and/or trans

lations? Select all correct answers.
A. Rectangle 3

B. Rectangle 4

C. Rectangle 2

D. Rectangle 1

E. Rectangle 6

F. Rectangle 5

Mathematics
1 answer:
zheka24 [161]3 years ago
5 0

Answer:

Step-by-step explanation:

B. Rectangle 4

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Name the slope of the equation y= 2/3x + 1
umka21 [38]

Answer:

Step-by-step explanation:

y=mx+b where m is the slope of the line so the slope of this line is 2/3

3 0
3 years ago
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I need to find the area of a semicircle with a radius of 2 units
MariettaO [177]

Answer:

6.2832 square units (rounded off to four decimal values)

Step-by-step explanation:

Area of a semicircle = \frac{1}{2} × π × r²

r (radius) = 2 units

For our semicircle the area = \frac{1}{2} × π × 2² = 6.28318530718  square units

Or 6.2832 square units (rounded off to four decimal values)

5 0
3 years ago
Find the range of the function F(x) = the integral from 0 to x of the square root of 4-t^2 dt
ioda

Note that √(4 - t²) is defined only as long as 4 - t² ≥ 0, or -2 ≤ t ≤ 2. Then the real integral exists only if -2 ≤ x ≤ 2. (Otherwise we deal with complex numbers.)

If x = 2, then the integral corresponds to the area of a quarter-circle with radius 2. This means that the integral has a maximum value of 1/4 • π • 2² = π.

On the opposite end, if x = -2, then the integral has the same value, but the integral from 0 to -2 is equal to the negative integral from -2 to 0. So the minimum value is -π.

For all x in between, we observe that the integrand is continuous over the rest of its domain, so F(x) is continuous.

Then the range of F(x) is the interval [-π, π].

8 0
2 years ago
Someone help me figure this out
Lena [83]

-6, because you can see a pattern in which the x coordinate of each pair is reversed to the opposite value, from positive to negative.

5 0
3 years ago
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What is the slope-intercept equation of the line going through (3, -6) and
jok3333 [9.3K]

Hi there!

\large\boxed{D. \text{ }y = -4x + 6}

To derive an equation given the points, we can use the slope formula:

slope = \frac{y_{2}-y_{1}}{x_{2}-x{1}}

Plug in the corresponding coordinates:

slope = \frac{-6-2}{3-1}

Simplify:

slope = \frac{-8}{2} = -4

Therefore, we have:

y = -4x + b

Plug in the x and y values for a coordinate to solve for b:

2 = -4(1) + b

2 = -4 + b

b = 6

The equation is:

y = -4x + 6. The correct answer is D.

7 0
3 years ago
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