Y = 3x - 2 comparing to y = mx + c, slope m = 3
For a perpendicular line, slope is negative reciprocal = -1/3
Using point (6, 8)
y - 8 = (-1/3)(x - 6)
3y - 24 = -x + 6
3y + x = 6 + 24
3y + x = 30
Answer:
10). 5x + (7x + 6) = 90
11). x = 7
Step-by-step explanation:
From the picture attached,
Sum of given angles measures 90°
Measures of the angles are (5x)° and (7x + 6)°
Therefore, equation to determine the values of x will be,
5x + (7x + 6) = 90
By combining similar terms of the equation,
12x + 6 = 90
12x = 90 - 6
12x = 84
x = 
x = 7
Therefore, by solving the equation value of x will be 7.
Answer:
D = -6, E = -8 , F = 0
Step-by-step explanation:
standard form = 
now, when circle passes through (3,-1);
⇒ 
⇒
...............( equation 1)
when circle passes through (-2,4);
⇒ 
⇒
...............( equation 2)
when circle passes through (6,8);
⇒ 
⇒
................( equation 3)
by solving these 3 equations , we get;
D = -6, E = -8, F = 0
hence,
standard form = 
= 
The 5 in the ten thousandths place is 10 times greater than the 5 in the thousandths place.
Answer:
[Distance to the Horizon]^2 =Height of the skydiver x Diameter of the Earth
D^2 = 1.4 x 7918
D^2 = 11,085.2
D = Sqrt(11,085.2)
D = ~ 105.28628......miles - Distance to Horizon.
Step-by-step explanation: