y = - 4x - 2
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = - 4x - 5 is in this form
with slope m = - 4
• Parallel lines have equal slopes
y = - 4x + c ← is the partial equation
To find c substitute (- 2, 6 ) into the partial equation
6 = 8 + c ⇒ c = 6 - 8 = - 2
y = - 4x - 2 ← equation of parallel line
Answer:
The perimeter of the square is 100 ft
Unit conversion is a way of converting some common units into another without changing their real value. The option in which more water will be used is by filling a bathtub.
<h3>Units conversion</h3>
Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
Given water flows from a shower at a rate of 0.35 cubic feet per minute. Therefore, the water that will be used in the shower,
Water used in Shower = 0.35 × 15 = 5.25 cubic feets
Water used in bathtub = 0.5 yards³ = 13.5 cubic feets
Hence, the option in which more water will be used is by filling a bathtub.
Learn more about Units conversion:
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Answer:
(a) Output = 37
(b) Input = 9
Step-by-step explanation:
Given

Solving (a): Output, when input = 8
This means that, we solve for y when x = 8
So, we have:




Solving (b): Input, when output = 42
This means that, we solve for x when y = 42
So, we have:


Collect like terms


Divide both sides by 5

Answer:
step 3
Step-by-step explanation: