The two numbers are 41 & 37.
The way to solve this is by setting up an equation. We know that 2 numbers are going to equal 78, so here would be the general equation (let x represent the number we don't know):
(x) + (x + 4) = 78
Now, we need to simplify it (combine like terms):
2x + 4 = 78
Then you can solve it like any other equation. Subtract 4 on both sides:
2x = 74
Divide by 2 on both sides:
x = 37.
So, now you know one number is equal to 37 and that the other is 37 + 4.
That's how you get 37 & 41.
Answer:
24
Step-by-step explanation:
4x+16 + 68 = 180
4x + 84 = 180
4x = 96
x = 24
Answer:
see explanation
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) , then
A (2, - 2 ) → A' (2, 2 )
B (4, - 1 ) → B' (1, 4 )
C (4, - 3 ) → C' (3, 4 )
D (2, - 4 ) → D' (4, 2 )
Answer:
y = 6x - 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (1, - 7)
m = 
= 
= 6, thus
y = 6x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, - 7), then
- 7 = 6 + c ⇒ c = - 7 - 6 = - 13
y = 6x - 13 ← equation of line
