Answer:
y = -1/3x + 8
Step-by-step explanation:
If two lines are perpendicular, the signs of the slope must be opposite and the slopes are reciprocals.
(basically if one is say -2/3, the other is 3/2. just flip it upside down)
So this slope is 3, so the new slope should be -1/3
The equation is now y = -1/3x + b
To find b, substitute (-9,5) in the equation
y = -1/3x + b
5 = -1/3(9) + b
5 = -3 + b
8 = b
So the equation is y = -1/3x + b
Let Q1 and Q2 be the quotients from dividing 32 and 58 respectively.Then 32 Q1 + 30 = 58 Q2 + 4432 Q1 = 58 Q2 + 1416 Q1 = 29 Q2 + 716 Q1 = (16 + 13)Q2 + 716 Q1 = 16 Q2 + 13 Q2 + 716(Q1 - Q2) = 13 Q2 + 7Because Q1 and Q2 are integers, we have to find Q2 whereby 13Q2 + 7 is divisible by 16.After some try-and-error, we get Q2 = 13. That is 13*13 + 7 = 176Therefore, Q1 - Q2 = 11 --> Q1 - 13 = 11 --> Q1 = 2432*24 + 30 = 58*13 + 44 = 798.I am 798
21/50; 420/1000=42/100 simplify it and it is 21/50
Answer:
use this formula, you will get the answer
Step-by-step explanation:
√(x2-x1)²+(y2-y1)²
Answer:
y-6 = (7/6)(x-2)
---------------------------------------------------
Explanation:
The median DT goes from point D, which is given, to point T which we have to find. The point T is the midpoint of segment EF.
Use the midpoint formula to find the midpoint. Add up the x coordinates of E and F to get
-1+5 = 4
Then divide that by 2
4/2 = 2
The x coordinate of point T is x = 2
Repeat for the y coordinates
8+4 = 12
12/2 = 6
The y coordinate of point T is y = 6
So the point T is (x,y) = (2,6)
---------
We know point D is (-4,-1)
We just found point T to be (2,6)
Using the slope formula, the slope is..
m = (y2-y1)/(x2-x1)
m = (6-(-1))/(2-(-4))
m = (6+1)/(2+4)
m = 7/6
The slope is m = 7/6
Use either the coordinates of D or T. I'll use point T. So (x1,y1) = (2,6) meaning x1 = 2 and y1 = 6
We'll plug m = 7/6, x1 = 2 and y1 = 6 into the point slope equation
y-y1 = m(x-x1)
y-6 = (7/6)(x-2)
which is the final answer