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maks197457 [2]
3 years ago
9

The point Z(5, -3) is rotated 270° clockwise around the origin. What are the coordinates of the resulting point, Z′?

Mathematics
1 answer:
g100num [7]3 years ago
4 0

Answer:

(3, - 5 )

Step-by-step explanation:

Under a clockwise rotation about the origin of 270°

a point (x, y ) → (- y, x ), hence

Z(5, - 3 ) → Z'(3, - 5 )

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5. Natalie has a pound bag of 1/8 pound bag of gummy worms, a 1/2 pound bag of twizzlers, and a 2/3 pound bag of chocolate. How
AveGali [126]

Step-by-step explanation:

1. Add all the different candies together

1/8 + 1/2 + 2/3=

2. Find the lowest common multiple of all the denominators

All the denominators can evenly multiply to 24 so 24 is the Lowest Common Denominator.

3. Multiply to make all the denominators 24

8x3=24 2x12=24 3x8=24

4. Whatever you did to the denominators, do the same thing to the numerators of that specific denominator.

1x3/8x3 1x12/2x12 2x8/3x8

5. Now that the denominators are the same for all the fractions, add all the numerators together.

3/24 + 12/24 + 16/24

3+12+16= 31

ANSWER: Natalie had 31/24 pounds of candy in all

Note: The decimal form is 1.292 pounds

7 0
3 years ago
Write the equation in slope-intercept form for the line that passes through the given point
ASHA 777 [7]

Answer:

y=x+4

Step-by-step explanation:

2y=2x+4 simplifies down to y=x-2. Since the two lines are parallel, they have to have the same slope, but different y-intercepts. This means that we just have to find the y-intercept that will allow our line to pass through (-5, -1).

If we input the coordinates into what of our equation we have thus far (y=x+b), we just have to find what b needs to equal to make the equation true.

-1=-5+b                  -1=-5+4

b = 4                     -1=-1

8 0
3 years ago
Costa is planning a lunch banquet. The equation C=450+28g models the relation between the cost in dollars, C, of the banquet and
algol13

Answer:

When the number of guests is 0, the cost would be $450.

Step-by-step explanation:

We have been given an equation C=450+28g, which models the relation between the cost in dollars, C, of the banquet and the number of guests, g.

We can see that our given equation in slope-intercept form of equation y=mx+b, where, m represents slope of line and b represents y-intercept or initial value.

We can see that slope for our given equation is 28 and the C-intercept is 450.

The C-intercept tells us that when there are 0 guests in the banquet, the cost would be $450.

3 0
3 years ago
What is the slope of the trend line in the scatterplot? Show work
Tom [10]

Answer:

y = -5x + 90

Step-by-step explanation:

y = mx + b is slope intercept form

b is the y intercept, meaning that 90 is the y-intercept

m is the slope (rise over run), 20/4, 5/1, 5

y = -5x + 90

this wasnt the best explanation but I hope it helped

3 0
3 years ago
Need help with this problem!! Point X is the midpoint of HI. What is the coordinate of the point X?
dimaraw [331]

Answer:

1

Step-by-step explanation:

The midpoint is the average of the points H and I

midpoint = | \frac{-2+4}{2} | = | \frac{2}{2} | = | 1 | = 1

6 0
3 years ago
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