Answer:
Choice B: Only (-1,-5)
Step-by-step explanation:
With this one, first the equation needs to be reduced into point-slope format.
y+5=2(x+1)
Distributive Prop.
y+5=2x+2
Carry over the 5 to the opposite side.
y=2x-3
Now, with the point slope form, it makes it easier to plug in the question choices to find which if any are correct.
Choice A: X is 5; Y is 10
y=2x-3
y=2(5)-3
y=10-3
y=7
This does not give a y value of 10, so it is false.
Choice B: X is -1; Y is -5
y=2(x)-3
y=2(-1)-3
y= -2-3
y= -5
This does give a y value of -5, so it is true. Choices C and D are therefore false as well, since only Choice B works.
Nguyen saves 15% of his income
<h3>How to determine the percentage?</h3>
The given parameters are:
Savings = $120
Income = $800
The percentage saved is calculated as:
Percentage = Savings/Income * 100%
This gives
Percentage = 120/800 * 100%
Evaluate
Percentage = 15%
Hence, Nguyen saves 15% of his income
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Distance of bank from yuri's house=(5/6)*(2/5)=2/6=1/3 mile
Answer:
yes
Step-by-step explanation:
To determine if the point lies on the line substitute the coordinates into the left side of the equation and if equal to the right side then the point lies on the line
- 3 + (4 × 4) = - 3 + 16 = 13 = right side
Hence (- 3, 4) lies on the line x + 4y = 13
Answer:
The Area of the parallelogram = 144 m²
Step-by-step explanation:
<u><em>Formula</em></u>:
Area of a parallelogram = b × h
Where , b is the base of the parallelogram
and h is its height.
………………………………
In our case :
b = 12 ; h = 12
Then
The Area of the parallelogram = 12 × 12 = 144 m²