- Which number line represents the solution to the inequality -5x +18> -22 ?
1 answer:
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Answer:
(x + 5) m
Step-by-step explanation:
From the question given above, the following data were obtained:
Area (A) = (x² + 8x + 15) m²
Width (W) = (x + 3) m
Length (L) =?
The lenght of the rectangle can be obtained as follow:
A = L × W
x² + 8x + 15 = L (x + 3)
Divide both side by x + 3
L = x² + 8x + 15 / x + 3
L = (x + 5) m
Please attached photo for explanation.
Therefore, the length of the rectangle is: (x + 5) m
Answer:
y- intercept = - 2.5
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 =
with (x₁, y₁ ) = (1, - 7) and (x₂, y₂ ) = (5, - 25)
m = =
= - 4.5 , then
y = - 4.5x + c
To find c substitute either of the 2 points into the equation
Using (1, - 7), then
- 7 = - 4.5 + c ⇒ c = - 7 + 4.5 = - 2.5
y- intercept c = - 2.5