Answer:
13 yds
Step-by-step explanation:
the blue side starter (B) swims 29yd in the time it takes the red side starter (R) to swim 21yd
their combined distance, when they meet, is 50yd (length of pool)
they pass each other and continue to the ends of the pool (combined distance, 100yd)
they swim towards each other again, and pass a second time (combined distance, 150yd)
at this point, R has swum 63yd (3*21) -- one length plus 13yd
so RS is 13yd from the blue end
<u>Answer:</u>
Point Form:
(−5,1)
Equation Form:
x=−5, y=1
<u>Step-by-step explanation:</u>
Solve for the first variable in one of the equations, then substitute the result into the other equation.
1. x=5y−10
2. 20y−30=−10
3. y=1
4. x=−5
Answer:
5/9
Step-by-step explanation:
2/3 - 1/9 = 5/9
The area of a kite:
A = d1 * d2 / 2
d1 = BD = 8 units
48 = 8 * AC / 2
48 * 2 = 8 AC
96 = 8 AC
AC = 96 : 8 = 12
Answer: D ) 12 units
We need to convert this equation to slope-intercept form first.
We can do that by solving for y.
x - 5y = 15
<em><u>Add 5y to both sides.</u></em>
x = 5y + 15
<em><u>Subtract 15 from both sides.</u></em>
x - 15 = 5y
<em><u>Divide both sides by 5.</u></em>
y = 1/5x - 3
We now know the slope is 1/5.
The slope of the line perpendicular to the line with a slope of 1/5 is -5.
The slope of a perpendicular line is the negative reciprocal of the original slope.
Using a graphing calculator, we know the y-intercept of the line that is perpendicular to the original line must have a y-intercept of -6 to run through the points (-2, 5).
The equation of the new line is y = -5x - 6.