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>
By using distributive property you can distribute (XYZ)4 and get a simplified answer of 4(x)+ 4(y) + 4 (z). The parenthesis show that 4(xyz) is not simplified and could also be written as 4(x)+ 4(y) + 4 (z).
Answer: x=19
Step-by-step explanation:
a triangle always=60 so
14+12+15=41
41-60
=19
Answer: X= 4
Step-by-step explanation:
24+0.44x=19+1.69x exp equation like:
24+44x/100=19+169x/100
Multiply left and right side of equation with 100
2400+44x=1900+169x
2400-1900=169x-44x
500=125x
x=500/125
x=4
Answer:
The scale factor is 4.5
Step-by-step explanation:
Scale factor from ∆RST to ∆XYZ = side length of ∆XYZ / corresponding side length of ∆RST
Thus:
XY corresponds to RS
XY = 45
RS = 10
Therefore:
Scale factor = 45/10 = 4.5
Scale factor from ∆RST to ∆XYZ = 4.5
