Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
For two lines to be perpendicular, the slope of one line is the negative reciprocal of the other line. The equation of the given line is
y = 2x - 2
Comparing with the slope intercept form,
Slope, m = 2
This means that the slope of the line that is perpendicular to it is -1/2
The given points are (-3, 5)
To determine c,
We will substitute m = -1/2, y = 5 and x = - 3 into the equation, y = mx + c
It becomes
5 = -1/2 × - 3 + c
5 = - 3/2 + c
c = 5 + 3/2
c = 13/2
The equation becomes
y = -x/2 + 13/2
Answer:
4 / 5 = 8 / 10
Step-by-step explanation:
4:5 is a ratio which can be rewritten as 4/5.
Any number that is multiplied by both the 4 and the 5 is an equivalent ratio to 4:5.
For example, if we multiply 2 by both sides, we have 8 to 10 which is equal to 4 to 5.
9514 1404 393
Answer:
Step-by-step explanation:
You are given the point (x1, y1) = (-2, 7) and slope m = 5, and asked to fill in the blanks in the point-slope form ...
y -y1 = m(x -x1)
Put the numbers in there and you get ...
y -7 = 5(x -(-2))
Simplifying the right side gives you ...
y - 7 = 5(x + 2)
Then the blanks are filled with {-, 7, 5, +, 2}.
k=9
11x9=99
answer- 99
Step-by-step explanation:
9514 1404 393
Answer:
MP = 38
Step-by-step explanation:
Each of the lengths MP, NP, OP is the radius of the incircle, so they are all congruent.
3x +14 = 9x -34
48 = 6x . . . . . . . . . . . . . . add 34-3x to both sides
24 = 3x . . . . . . . . . . . . . . divide by 2 (we don't need x; we need 3x or 9x)
NP = 3x +14 = 24 +14 = 38
NP = OP = MP = 38
