x + 2
Step-by-step explanation:
2 ( x + 2) + 2 (x + 4) = 32
2x + 4 + 2x + 8 = 32
4x + 12 = 32
4x = 32 – 12
4x = 20
x = 5
Width of picture = 5 inches
Length of picture (x + 2) = 7 inches
Length of frame = x + 2 + 2 = 9 inches
Width of frame = x + 2 = 7 inches
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and c the y- intercept )
(1)
Here m = 6 and b = - 2, then
y = 6x - 2
(2)
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Here m = - 2 and b = 5, then
y = - 2x + 5 ← equation in slope- intercept form
Add 2x to both sides
2x + y = 5 ← equation in standard form
(3)
Calculate the slope m using the slope formula
m =
with (x₁, y₁ ) = (6, - 13) and (x₂, y₂ ) = (- 4, - 3)
m = = = - 1 , then
y = - x + b ← is the partial equation
To find b substitute either of the 2 points into the partial equation
Using (- 4, - 3 ) , then
- 3 = 4 + b ⇒ b = - 3 - 4 = - 7
y = - x - 7 ← equation in slope- intercept form
Add x to both sides
x + y = - 7 ← equation in standard form
Answer:
14.49
Step-by-step explanation:
Answer:
8.53°
Step-by-step explanation:
Observe the attached image.
The ramp forms an alpha angle triangle with an opposite side of 6 ft and an adjacent side of 40 ft.
We know that the tangent of an angle is defined as:
So:
To clear the angle we apply the inverse of the tangent (arctangent) on both sides of the equation:
Answer:it would be the fourth one
Step-by-step explanation: