Answer:
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Given lines:
- 3x + y = 1 and y + 6 = - 3x
Convert both equations to slope-intercept form of y = mx + b:
- 3x + y = 1 ⇒ y = - 3x + 1
- y + 6 = - 3x ⇒ y = - 3x - 6
Slopes are same, so these are parallel lines, and the distance between parallel lines is:
, where b₁, b₂ - y-intercepts, m- slope
Substitute and calculate:
Answer:
cos theta = adja/ hypo
adja=8
hypo=17
cos theta= 8/17=0.47
theta= cos^-1 0.47
theta=1.0815
to fine missing side, use Pythagoras
hypo²= oppo² + adja²
17²= oppo² + 8²
289-64=oppo²
oppo²=225
oppo=15
A right triangle has an angle that is 90 degrees.
An acute triangle has all three angles less than 90 degrees.
An obtuse triangle has one angle greater than 90 degrees.
Hope that helps.
3^2 + 16
= (3 • 3) + 16
= 9 + 16
= 25
~
Answer: 7/3
Step-by-step explanation:
R-P= (3,-7). the displacement vector.
P+x(R-P) moves to x times distance between
P+(R-P) = R moves to 100% of the distance.
Q = P+2/3(R-P)
= (-2,7)+2/3(3,-7)
= (-2,7)+(2,-14/3)
= (0,7-14/3)
= (0,7/3)
= (0,2.3333...)
