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3 years ago

PLEASE HELP! - Triangle XYZ is rotated 90° clockwise about the origin.

Mathematics

2 answers:

yuradex [85]3 years ago

3 0

Answer:

(1, 3)

Step-by-step explanation:

A 90° clockwise rotation about the origin maps every point

(x, y)→(y, -x).

The coordinates of X are (-3, 1); using this transformation, we have

(-3, 1)→(1, 3).

Tanzania [10]3 years ago

3 0

Point X would have the coordinates (1, 3).

We can see this by connecting the origin to point X by moving up 1 space and left 3 spaces. Then if we imagine to rotate this shape 90° clockwise about the origin, it goes right 1 space and up 3 spaces, which is at the coordinate (1, 3).

I hope this helps! I know my explanation is quite confusing so let me know if you have any questions :)

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Reorder the following equations in ascending order of steepness: y= 15x + 5 y= 0.15x - 1 y=x y= x + 100

Gre4nikov [31]

Answer:

y= 0.15x - 1, y = x, y = x + 100, y = 15x + 5.

Step-by-step explanation:

When the slope of a line is less than 1 (if the slope is a decimal), the slope will not be steep. But when the slope is more than 1, the slope will be steeper than the average.

According to that rule, the steepest will be y = 15x + 5.

The next steepest equations will be y = x and y = x + 100 (they are both at the same degree of steepness; the intercept does not impact the steepness of the line).

The least steepest will bey = 0.15x - 1.

So, the order, from least steep to most steep, will be y= 0.15x - 1, y = x, y = x + 100, y = 15x + 5.

Hope this helps!

8 0

4 years ago

Using only the values given in the table for the function f(x) = –x3 + 4x + 3, what is the largest interval of x-values where th

nikklg [1K]

I assume you mean -x^3 + 4x + 3
so what you need is 4x + 3 > x^3
the only whole number it could be is 2 because 2x2x2 +3 > 2x2x2

4 0

3 years ago

Read 2 more answers

Sam has $15 more dollars than Sarah, Casey has 2 times as much as Sam. The total they have all together is $95, how much money d

Alja [10]

Answers:

Sarah has $12.50
Sam has $27.50
Casey has $55

======================================================

Explanation:

x = amount of money Sarah has

x+15 = amount of money Sam has, since he has $15 more than her

2(x+15) = amount of money Casey has, since he has twice as much as Sam.

Let's add up those three expressions and set that sum equal to 95

Solve for x.

Sarah + Sam + Casey = 95

x+(x+15) + 2(x+15) = 95

x + x + 15 + 2x + 30 = 95

4x+45 = 95

4x = 95-45

4x = 50

x = 50/4

x = 12.50

This says that Sarah has $12.50

That must mean Sam has x+15 = 12.50+15 = 27.50 dollars

And Casey must have 2*27.50 = 55 dollars.

----------------

As a check,

Sarah+Sam+Casey = 12.50+27.50+55 = 95

So the answer is confirmed.

6 0

3 years ago

Read 2 more answers

Factor completely 4x2 − 8x + 4.

olga nikolaevna [1]

Given :- 

4x² - 8x - 4 .

To Find :- 

To find the factorised form .

Answer :- 

Taking the given expression,

→ 4x² - 8x + 4

→ 4x² - 4x -4x + 4

→ 4x ( x - 1 ) -4( x -1)

→ (4x - 4)(x-1)

Hence the required answer is (4x - 4)( x - 1) .

4 0

3 years ago

Which equation can be used to solve the problem? 750 is 150 percent of what?

Juli2301 [7.4K]

150750 × 100100 = 20100 = 20%

If you are using a calculator, simply enter 150÷750×100 which will give you 20 as the answer.

5 0

4 years ago