Answer:
We have equation of a line:
2y - 3x = 4 => y = (3/2)x + 4
The equation of the line that is parallel to above line and passes through the point (6, 7) would have form y = ax + b, and
a = 3/2
6a + b = 7
=> b = 7 - 6a = 7 - 6 x 3/2 = 7 - 9 = -2
=> The equation of that line: y = (3/2)x - 2
Hope this helps!
:)
Answer:
1. 109
2. 29
3. 71
Step-by-step explanation:
1. since a triangle's interior angles always add up to 180, you can add 35 and 36 to get 71, then subtract that from 180 to find the third angle
2. the unnamed angle in triangle RUV is supplementary to <1.Supplementary angles are angle the add up to 180. So you can subtract 109 from 180 to find the unnamed angle. It is 71. Now you can repeat the steps in question one to find <2 in triangle RUV. You get that <2 is 29
3. Angle 3 and the unnamed angle are vertical angles. This means that they are opposite to each other and are congruent. This means that they have the same measure. Knowing that the unnamed angle is 71, we can say that angle 3 is also 71.
Answer:
x-intercepts: (-4,0) and (-2,0) y-intercepts: (0,-2)
Step-by-step explanation:
<u>x-intercept</u>:
y = |x+1| - 3
0 = |x+1| - 3
3 = |x+1|
The numbers -4 and 2 are the x-intercepts because if you add -4 and 1, you get the absolute value of -3, which is 3. If you add 2 and 1, you get the absolute value of 3, which is 3.
<u>y-intercept</u>:
y = |x+1| - 3
y = |0+1| - 3
y = |1| - 3
y = 1 - 3
y = -2
Answer:
-1
Step-by-step explanation:
