Graph the line that passes through the points (-3, -5) and (−3,−3) and determine the equation of the line.
1 answer:
The equation of the line passing through the points (-3, -5) and (−3,−3) is x = -3.
<h3>What is an equation?</h3>An equation is an expression that shows the relationship between two or more numbers and variables.
The standard equation of a line is:
y = mx + b
Where m is the rate of change (slope) and b is the y intercept.
The line passing through the points (-3, -5) and (−3,−3) is graphed using geogebra.
The equation of the line passing through the points (-3, -5) and (−3,−3) is x = -3.
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Answer:
see explanation
Step-by-step explanation:
(f + g)(x) = f(x) + g(x), so
f(x) + g(x)
= x² + 5x + 6 + x + 3 ← collect like terms
= x² + 6x + 9
-------------------------------------------------
(f - g)(x) = (f(x) - g(x), so
f(x) - g(x)
= x² + 5x + 6 - (x + 3) ← distribute by - 1
= x² + 5x + 6 - x - 3 ← collect like terms
= x² + 4x + 3
---------------------------------------------------
(f • g)(x)
= f(x) × g(x)
= (x² + 5x + 6)(x + 3)
Each term in the second factor is multiplied by each term in the first factor, that is
x²(x + 3) + 5x(x + 3) + 6(x + 3) ← distribute parenthesis
= x³ + 3x² + 5x² + 15x + 6x + 18 ← collect like terms
= x³ + 8x² + 21x + 18
---------------------------------------------------------------
( )(x)
=
= ← factor the numerator
= ← cancel common factor (x + 3) on numerator/ denominator
= x + 2
Answer:
10 meters
Step-by-step explanation:
The given function represents the height,
, in meters,
seconds after the ball is thrown.
Since the ball is thrown off the roof, then ball's height will be equal to the roof's height before being thrown (0 seconds). Therefore, substitute into the given function
:
Therefore, the building is 10 meters tall.