Answer:
y = 2x-4
Step-by-step explanation:
x + 2y = 2
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
First find the slope of the line
2y = -x+2
Divide by 2
y = -1/2x +1
The slope of this line is -1/2
We want a line that is perpendicular, which is the negative reciprocal
-1 /(-1/2) = 2
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 2x+b
Substitute the point into the line
6 = 2(5)+b
6 = 10+b
6-10 =b
-4=b
y = 2x-4
2x - 3 = 15
2x = 15 + 3 = 18
x = 18/2 = 9
Therefore, the equired value of x is 9.
Answer:
6 times
Step-by-step explanation:
Turn that fraction into a decimal. 3/4=0.75
Divide!
4.5/0.75=6
$72.
20% of 60 is 12
$12 + $60 = $72
Answer:
The area of the triangle with the given vertices is 10 square units
Step-by-step explanation:
x y
D 3 3
E 3 -1
F -2 -5
D 3 3
Area: A=Abs [(xd ye + xe yf + xf yd) - (yd xe + ye xf + yf xd)] /2
Absolute value: Abs
A = Abs { [(3)(-1)+(3)(-5)+(-2)(3)] - [(3)(3)+(-1)(-2)+(-5)(3)] } / 2
A = Abs [ (-3-15-6)-(9+2-15) ] / 2
A = Abs [ (-24)-(-4) ] / 2
A = Abs ( -24+4) / 2
A = Abs (-20) / 2
A = 20 / 2
A = 10 square units
