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3 years ago

1. If quadrilateral ABCD is rotated 270° clockwise about the origin, find the coordinates of B'.

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

4 0

Answer:

The coordinates of B' are (-3, 5).

Step-by-step explanation:

For every 90 degrees rotated, the coordinate numbers switch and one is multiplied by -1, when clockwise it's the 2nd one, and when counterclockwise, it's the 1st.

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Sami cuts out a rectangle that has a perimeter of 48 inches and a length of 13 inches.

ddd [48]

Answer:

Width is 11 inches

Step-by-step explanation:

I am not sure what the question is. I think you might be looking for the width length. The perimeter is the distance around a rectangle. If the whole distance around is 48. We have 2 lengths and 2 widths. They tell us that the length is 13. We have two lengths so the lengths add up to 26. We can subtract that from 48 and that leaves us with 22 (48-26) This is the total for the 2 widths. Since the 2 widths are the same length we divide that number by 2 to get 11.

11 + 11+ 13 + 13 = 48

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2 years ago

An escalator from the ground floor to the second floor of a department store is 110 ft long and 32 ft vertical. What is the esca

grigory [225]

Answer: 16.91°

Step-by-step explanation:

1. You can draw a right triangle as you can see in the figure attached.

2. Then you can calculate the angle of elevation (α) as following:

$\alpha=arcsin(\frac{opposite}{hypotenuse})$

Where:

$opposite=32\\hypotenuse=110$

3. Now you must substitute these values. Then, the angle of elevation is:

$\alpha=arcsin(\frac{32}{110})$

$\alpha=16.91\°$

4 0

4 years ago

Which graph shows the solution to the system of linear inequalities? y < 2x – 5 y > –3x + 1

Ksenya-84 [330]

Answer:

Where are the graphs

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Write as a numerical expression: “ Six less than twice a number is four “

VladimirAG [237]

Answer:

2x - 6 = 4

Step-by-step explanation:

Firstly, let's assume the number is x

Then, twice the number is 2 times x = 2x

6 less than twice the number is four

2x - 6 = 4

2x - 6 + 6 = 4 + 6

2x = 10

2x/2 = 10/2

x = 5

6 0

3 years ago

The equation of a quadratic is =2^2+3−2and after you factorizing 2^2+3−2=0you got x = -2 and x = 1/2 and the curve crosses the y

Lelechka [254]

Given the next quadratic function:

$y=2x^2+3x-2$

to sketch its graph, first, we need to find its vertex. The x-coordinate of the vertex is found as follows:

$x_V=\frac{-b}{2a}$

where <em>a</em> and <em>b</em> are the first two coefficients of the quadratic function. Substituting with a = 2 and b = 3, we get:

$\begin{gathered} x_V=\frac{-3}{2\cdot2} \\ x_V=-\frac{3}{4}=-0.75 \end{gathered}$

The y-coordinate of the vertex is found by substituting the x-coordinate in the quadratic function, as follows:

$\begin{gathered} y_V=2x^2_V+3x_V-2 \\ y_V=2\cdot(-\frac{3}{4})^2+3\cdot(-\frac{3}{4})-2 \\ y_V=2\cdot\frac{9}{16}+3\cdot(-\frac{3}{4})-2 \\ y_V=\frac{9}{8}-\frac{9}{4}-2 \\ y_V=-\frac{25}{8}=-3.125 \end{gathered}$

The factorization indicates that the curve crosses the x-axis at the points (-2, 0) and (1/2, 0). We also know that the curve crosses the y-axis at (0,-2). Connecting these points and the vertex (-0.75, -3.125) with a U-shaped curve, we get:

6 0

1 year ago