Answer:
A parallel y = 3x-1
B perpendicular y = -1/3x+9
Step-by-step explanation:
y = 3x-4 is written in slope intercept form (y=mx+b) so the slope is 3.
A. If the lines are parallel they have the same slope
m parallel is 3
Using point slope form
y-y1 = m(x-x1)
y-8 = 3(x-3)
Distribute
y-8 = 3x-9
Add 8 to each side
y-8+8 = 3x-9+8
y = 3x-1
This is slope intercept form
B If we want perpendicular lines, the slope is the negative reciprocal
m perpendicular is -(1/3) = -1/3
Using point slope form
y-y1 = m(x-x1)
y-8 = -1/3(x-3)
Distribute
y-8 = -1/3x+1
Add 8 to each side
y-8+8 = -1/3x+1+8
y = -1/3x+9
This is slope intercept form
Answer:
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Step-by-step explanation:
hdhakuxtsjwkbevdvsiw in e
Similar to the last problem
y = x + 2
y + 3 = 2x
so we need to find which values fit
check out B and D - its one of those
Answer:
50.6 cm
Step-by-step explanation:
We can use similar triangles and proportions to solve. Put the smaller triangle side over the larger triangle side.
x 46.2-14 (This is the length of the short side of the triangle)
--------- = -------------
72.6 46.2
Using cross products
46.2 *x = (46.2-14) *72.6
46.2 *x = (32.2) *72.6
46.2 *x = (32.2) *72.6
46.2x =2337.72
Divide each side by 46.2
46.2/46.2 *x = 2337.72/46.2
x = 50.6