Answer:
9 smoothies were purchased prior
Step-by-step explanation:
Subtract 2 from 30 constantly til' you get to 12, count up how many times you've taken away or subtract 30 by 12, get 18 and divide it by 2 and get 9
Answer:
f = 5/3
Step-by-step explanation:
3/4 f = 5/4
Multiply each side by 4/3 to isolate f
4/3 *3/4 f = 5/4 *4/3
f = 5/3
Answer:
B
Step-by-step explanation:
Assuming the dilatation is centred at the origin, then multiply each of the coordinates by 4 , that is
A (0, 10 ) → A' (4(0), 4(10) ) → A' (0, 40 )
B (8, 6 ) → B' (4(8), 4(6) ) → B' (32, 24 )
C (4, 2 ) → C' (4(4), 4(2) ) → C' (16, 8 )
From left to right, the line slants upwards like in this image:
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.
