The slope of a line perpendicular to another line has a
slope which is the negative reciprocal of that line or:
m1 = -1/m2
First, we convert the given equation into slope-intercept
form of a line: y = mx + b
8x + 15y = 12
15y = -8x + 12
y = (-8/15) x + 0.8
m1 = -8 / 15
Therefore the slope of the perpendicular line is:
m2 = 15 / 8
Since the perpendicular line crosses the point (11, 17), therefore
using the slope formula:
m = (y2 – y1) / (x2 – x1)
15 / 8 = (y2 – 17) / (x2 – 11)
1.875 (x2 – 11) = y2 – 17
1.875 x2 – 20.625 = y2 – 17
y2 = 1.875 x2 – 3.625
y = (15/8) x – 3.625
multiplying both sides by 8:
8y = 15x – 29
rewriting in standard form:
<span>15x – 8y = 29 (ANSWER)</span>
20 more than what they played or 20 more than what they lost?
Answer:
I believe they ate 4/8. 2 apple and 2 banana muffins makes 4. They still have 4 blueberry muffins left. so 4/8
Draw (or do whatever) 13 in tens and ones [1 ten block ,3 ones blocks] then draw 7 in ones. then show the breaking apart of the tens block then subtract it by 7.
In order for the equation to be true, one of the factors on the left has to equal zero
So, 2x-3=0 or x-4=0 (the 3 on the left for multiplication doesn’t affect the possible answers for x)
Once you solve them, you conclude that x has to be 4 or 3/2.
