Answer:
y = 4x + 14
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 )
y = 4x + 7 ← is in slope- intercept form
with slope m = 4
• Parallel lines have equal slopes , then
y = 4x + c ← is the partial equation
to find c substitute (- 3, 2 ) into the partial equation
2 = - 12 + c ⇒ c = 2 + 12 = 14
y = 4x + 14 ← equation of parallel line
Answer:
Ok hi
Step-by-step explanation:
Answer:
80 m^2
Step-by-step explanation:
The given information lets you write two equations involving length (x) and width (y).
- 2(x +y) = 36 . . . . the perimeter is 36 m
- (x+1)(y+2) -xy = 30 . . . . increasing the length and width increases area
The second of these equations simplifies to another linear equation, giving a system of linear equations easily solved.
xy +y +2x + 2 -xy = 30
2x +y = 28 . . . . . . . subtract 2
Dividing the first equation by 2 gives
x +y = 18
and subtracting this from the above equation gives ...
(2x +y) -(x +y) = 28 -18
x = 10
Then
y = 18 -10 = 8
The area of the original rectangle is xy = 10·8 = 80 m^2.
Answer:
D. about 7 cm
Step-by-step explanation:
You can use the pythagorean theorem.
You have a triangle with sides of 5 and 5, so that means the third side is:

rounding:

Answer:
f(5) = 3200
Step-by-step explanation:
Using the recursive formula to generate the terms, that is
f(2) = 2 × f(1) = 2 × 200 = 400
f(3) = 2 × f(2) = 2 × 400 = 800
f(4) = 2 × f(3) = 2 × 800 = 1600
f(5) = 2 × f(4) = 2 × 1600 = 3200