Set up a system of equations:

s = 2d - 5
s + d = 43

Where 's' represents the number of points Stilt scored and 'd' represents the number of points Dunk scored.

Plug in 2d - 5 for 's' in the 2nd equation:

s + d = 43

2d - 5 + d = 43

Combine like terms:

3d - 5 = 43

Add 5 to both sides:

3d = 48

Divide 3 to both sides:

d = 16

Plug this back into any of the two equations to find 's':

s + d = 43

s + 16 = 43

Subtract 16 to both sides:

s = 27

So Dunk scored 16 points and Stilt scored 27 points.

4 0

3 years ago

Suppose the equation for line A is given by 2x = 5y – 25. If line A and B are perpendicular

Ludmilka [50]

The required equation of line B is 2y+5x=-2

The equation of a line in point-slope form is expressed as:

y-y0 = m(x-x0)

m is the slope of the line

(x0, y0) is the point on the line

Given the line A expressed as:

2x = 5y – 25

Rewrite in standard form

5y = 2x + 25

y = 2/5 x + 5

The slope will be 2/5

The slope of the perpendicular line will be;

$M = \frac{-1}{(2/5)}\\M = \frac{-5}{2}$

Substitute the point (-6, 14) and slope -5/2 into the equation above to get the required equation of line B

$y-14=-5/2(x+6)\\2(y-14) = -5(x+6)\\2y-28=-5x-30\\2y+5x=-30+28\\2y+5x=-2\\$

Hence the required equation of line B is 2y+5x=-2

Learn more here: brainly.com/question/13140886

6 0

3 years ago

Kasie has a square rug that has an area measuring 72.25 ft determine how long the rug is

solmaris [256]

Answer:

the rug is 8.5 feet

Step-by-step explanation:

7 0

3 years ago