Answer:
y = 3/8x + 1/8
Step-by-step explanation:
The slope of a perpendicular line is the opposite and reciprocal of the original slope.
-8/3 -> 3/8
Find the new y-intercept.
y = 3/8x + b
2 = 3/8(5) + b
2 = 1.875 + b
0.125 = b
y = 3/8x + 1/8
Best of Luck!
Answer:
x = 0.
Step-by-step explanation:
(-35)^x = 1
Now any number to the power 0 is 1.
So x = 0.
Using the given information, we can say the following:
Width (W) = x
Length (L) = (2x - 4)
Area of Rectangle = L × W
Using this, we can formulate an equation for rectangle in question:
x(2x - 4) = 30
Expand and move everything to one side:
2x² - 4x - 30 = 0
Simplify by dividing everything on both sides by 2:
x² - 2x - 15 = 0
Factorise:
(x + 5)(x - 3) = 0
Set each factor equal to 0 and solve for x:
x + 5 = 0
x = -5 (a dimension cannot be negative so this is not the solution we want)
x - 3 = 0
x = 3 (this is the solution)
x = W = 3"
L = 2x - 4
L = 2(3) - 4
L = 2"
So, the length the rectangle is 2" and the width is 3"
For these problems you have to use PEMDAS so for problem 15 you would do the parentheses first, (21-3) you get 18 and then exponents, 3^2, you get 9, no multiplication but there is division so take your answers, 18 and 9 and divide them, you get 2, so the answer to 15 is 2.
Answer:
the answer is
x + y + z = 180 degrees
proof
the sum of all angles in the triangles is always equal to 180 degrees
Step-by-step explanation:
