Answer:
1. y + 3 = 3/5(x)
2. y - 10 = (x + 3)
Step-by-step explanation:
1.
When a line is parallel to another line, it means that the two lines have the same slope. So, for this first problem, the slope of the other parallel line would have to be 3/5.
In the problem, they've given you a point of (0, -3).
Now, you can can plug everything you know into the point slope formula which is...
y - = m ( x - ).
and are the points that you plug in, and m is the slope.
After you plug everything in, you should get:
y + 3 = 3/5(x + 0)
You don't really need to include the 0, so your final equation would be
y + 3 = 3/5(x).
2.
When a line is perpendicular to another line, it means that the slope of the other is its opposite reciprocal. This means that the slope of the perpendicular line would be 1/2. I got this by dividing 2 by 1 and multiplying it by -1.
reciprocal of -2 = - x -1 =
You can do the same thing we did in the previous problem with the point given here, which is (-3, 10).
y - 10 = (x + 3)
Answer:
45° and 135°
Step-by-step explanation:
A linear pair of angles sum to 180°
let one angle be x , then the other is 3x ( 3 times the other ), thus
x + 3x = 180
4x = 180 ( divide both sides by 4 )
x = 45
Thus the 2 angles are
x = 45° and 3x = 3 × 45° = 135°
Answer:
2(5)+5=15
Step-by-step explanation:
1. you have the equation 2b+c
2. then you add the numbers for c and b
3. so b=5 and c=5
4. once you add it into the problem then you get 2(5)+5 make sure you remember to times 2 x 5
5. then you do PEMDAS
6. you do multiply so 2x5 is 10
7. then do 10+5 and you get 15 as your answer.