Answer:
y = (5/4)x + 6
Step-by-step explanation:
The 1st line's equation is:
● 4x + 5y = 20
Substract 4x from both sides
● 4x + 5y - 4x = 20 - 4x
● 5y = 20 -4x
● 5y = -4x + 20
Divide both sides by 5
● 5y/5 = (-4x + 20)/5
● y = (-4/5)x + 4
● y = -0.8x + 4
Let m be the slope of the second line
The lines are perpendicular so the product of their slopes equals -1
Then: m × (-0.8) = -1
● m × (-0.8)= -1
● m = -1/(-0.8)
● m = 1.25
y = 1.25x + b
b is the y-intercept of the line.
To get it replace by the coordinates of a point.
We are given that the line passes through (-4,1)
● y = 1.25x + b
● 1 = 1.25 × (-4) + b
1.25 is 5/5
● 1 = (5/4) × (-4) + b
● 1 = -5 + b
Add 5 to both sides
● 1 + 5 = -5 + b + 5
● b = 6
So the equation is
● y = (5/4)x + 6
Answer:
-7< x < 6
Step-by-step explanation:
|4x + 2| < 26
The absolute value has a positive and a negative. Remember to flip the inequality when taking the negative
4x+2 < 26 and 4x+2 > -26
Subtract 2 from each side
4x+2-2 < 26 -2 and 4x+2 > -26-2
4x < 24 and 4x > -28
Divide by 4
4x/4 < 24 4x/4 >-28/4
x <6 and x> -7
-7< x < 6
Answer:
A square pyramid has sides of 8 m. Each face is an equilateral triangle.
What is the lateral area of the pyramid?
128 m2
128 m2
32 m2
64 m2
Step-by-step explanation:
use PEMDAS (parenthesis first)
4 * (x * 3) =
4 * 3x =
12x
