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3 years ago

What is the slope of Y = 1/2x - 3

Mathematics

1 answer:

zvonat [6]3 years ago

3 0

Answer:

slope= 1/2

Step-by-step explanation:

y=mx+b

m (slope)= 1/2

b (y-intercept)= -3

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Triangle RST has the vertices R(2, 3), S(-2, 1), and T(-1, 5). What are the coordinates after the two transformations: Translati

igor_vitrenko [27]

Given :

Triangle RST has the vertices R(2, 3), S(-2, 1), and T(-1, 5).

To Find :

The coordinates after the two transformations:

a) Translation (x, y) --> (x - 2, y - 1) .

b) Rotation: 90 degrees counterclockwise at the origin.

Solution :

Applying transition a) , we get :

R'(2-2,3-1) , S'(-2-2,1-1) , T'(-1-2,5-1)

R'( 0, 2) , S'( -4 , 0), T'( -3, 4)

Now , When any point ( h , k ) is rotated 90° counterclockwise about the origin, the new points are (-k , h) .

So , R''( -2, 0) , S''( 0, -4 ) , T''( -4 , -3 ) .

Therefore , the coordinates after transformations are

( -2, 0) ,( 0, -4 ) , ( -4 ,-3 ) .

Hence , this is the required solution .

6 0

3 years ago

The juice dispenser in the cafeteria holds 22 1/4 pints of juice. The glasses in the cafeteria only hold 1/4 of pints of juice.

Nutka1998 [239]

Answer:

D - 89

Step-by-step explanation:

you get 4 glasses for each pint.

22*4 = 88

then you get 1 for the 1/4

88+1=89

5 0

3 years ago

Please help! and show some sort of work so i know its correct! thanks<3

pychu [463]

9514 1404 393

Answer:

C. parallelogram, then rectangle

Step-by-step explanation:

The attached image shows how the shape evolves as the number of segments of the circle increases. The smaller the central angle, the closer the shape becomes to a rectangle.

3 0

3 years ago

ziggy sells coffee and donuts , the total number of cofees and donuts ziggy sells today is 100. Ziggy charges 3$ for coffee and

sergejj [24]

You use a system of equations
x= coffee
y= donuts
x+y=100
3x+y=180
there’s 3 ways to solve system of equations substitution graphing and elimination. it would be easiest to use substitution here. So you multiply x+y=100 by -1 so it become -x-y=-100. then you combine it with the other equation and get 2x=80 so x=40 which means 40 cups of coffee were sold then you plug it back in to find y. 40+y=100. y=60.
y= 60 (donuts). x= 40 (coffee)

6 0

3 years ago

Mary weighs n kg while her sister weighs 15 kg less. How many times is Mary heavier than her sister?

kari74 [83]

Answer:

Mary is $\frac{n}{n-15}$ times heavier than her sister

Step-by-step explanation:

Mary's Weight = n

Sister's Weight = n - 15

To find how many times mary is heavier, we need to multiply "that many time" [let it be x] with sister's weight to get Mary's weight.

<u>e.g. </u>If someone weighs 100 and another person 50, 50 * 2 = 100, thus, 100 kg person is 2 times heaving. We do same for this:

(n - 15) * x = n

x = n/(n - 15)

3 0

3 years ago

Read 2 more answers