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Novosadov [1.4K]

3 years ago

11

What are the elements in this set? D={16,19,21} , E={16,18,19,20}

1 answer:

dimaraw [331]3 years ago

5 0

D = {16, 19, 21}
E = {16, 18, 19, 20}
D ∩ E = {16, 19}

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What is the image of point (0,3) for mapping (x,y) (x-2,y-3)

Ann [662]

When it asks for the image, that means what are your new coordinates after doing the rules they give you. In this, the rule is to subtract 2 from your x value and subtract 3 from the y value. So you subtract 2 from 0 and subtract 3 from 3. This will give you the values to use for the x and y of your answer:)

5 0

3 years ago

The legs of a right triangle measure 6 centimeters and 8 centimeters. How long is the hypotenuse in centimeters?

klemol [59]

Answer:

10cm ( A )

Step-by-step explanation:

This would use the Pythagorean Theorem. That means it would be -

a^2_b^2= c^2, in this case, you have 2 of your legs already so those two values would be a&b. you would stick those two into the equation and it should look like this:

6^2+8^2=c^2

then 36+64=c

and then 100=c

after that, you would take the square root of c to get

10!

8 0

3 years ago

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What is the average rate of change from x= -1 to x = 1 ?

Masteriza [31]

Answer:

-2

Step-by-step explanation:

The average rate of change on an interval is ...

average rate of change = (amount of change)/(width of interval)

= (-3 -1)/(1 -(-1)) = -4/2 = -2

The average rate of change between (-1, 1) and (1, -3) is -2.

3 0

3 years ago

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Write the equation of the line passing through the points (-4,-1) and (2,8)

klio [65]

<h3><u>Explanation</u><u>:</u></h3>

Calculate the slope with two given coordinate points by using rise over run.

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

Let these points

$\begin{cases}(x_1, y_1) = ( - 4, - 1) \\ (x_2, y_2) = ( 2, 8) \end{cases}$

$m = \frac{8 - ( - 1)}{2 - ( - 4)} \\ m = \frac{8 + 1}{2 + 4} \Longrightarrow \frac{9}{6} \Longrightarrow \frac{3}{2} \\ m = \frac{3}{2}$

Slope-Intercept

$y = mx + b \\ m = slope \\ b = y - intercept$

Substitute the value of m in the equation.

$y = \frac{3}{2} x + b$

Substitute any coordinate points that are given or part of the graph in the equation.

$(x_, y) = ( - 4, - 1)$

$- 1 = \frac{3}{2} ( - 4) + b$

Solve the equation for b-term.

$- 1 = \frac{3}{ \cancel{2}} ( \cancel{ - 4}) + b\\ - 1 = 3( - 2) + b \\ - 1 = - 6 + b \\ - 1 + 6 = b \\ 5 = b$

Rewrite the equation by substituting the value of b in the equation.

$y = \frac{3}{2} x + 5$

<h3><u>Answer</u></h3>

$\large \boxed{y = \frac{3}{2} x + 5}$

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7 0

2 years ago

HELP ASSAP WITH THIS QUESTION!!!!

avanturin [10]

(-5,6) (-5,-6) (4,-6)
I hope it helps you!!

3 0

3 years ago