Answer:
y= 2x -3
Step-by-step explanation:
Let's rewrite the given equation into the form of y=mx+c, so that we can find the gradient of the line. In this form, m (coefficient of x) is the gradient.
4x -2y= 3
2y= 4x -3
<em>Divide</em><em> </em><em>by</em><em> </em><em>2</em><em> </em><em>throughout</em><em>:</em>
Thus the gradient is 2.
Parallel lines have the same gradient thus the line would also have a gradient of 2.
Substitute m=2 into the equation:
y= 2x +c
To find the value of c, substitute a pair of coordinates.
When x=2, y=1,
1= 2(2) +c
1= 4 +c
c= 1 -4
c= -3
Thus, the equation of the line is y= 2x -3.
The tax is 6.5% OF the listed price. "OF" in math means multiply.
First convert the percentage to a decimal
6.5% = .065
Then multiply .065*813.95 = 52.90675. This is the tax.
Simply add the tax onto the cost
813.95 + 52.90675 = $866.86 (rounded)
Answer: Choice A
x+3y = 14
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Explanation:
The general template for standard form is Ax+By = C, where A,B,C are integers.
This immediately rules out choices C and D, since they don't fit the format mentioned.
To see which of A or B we can eliminate or confirm, plug (x,y) coordinates from the graph into each answer choice. The ultimate goal is to get a true statement.
For example, the graph shows that (x,y) = (2,4) is on the line. Plug this into choice A to get...
x+3y = 14
2+3(4) = 14
2+12 = 14
14 = 14 this is true
So far so good. The point (2,4) is on the line x+3y = 14. Repeat those steps for (-1, 5) and you should get another true result. So that would confirm choice A is the answer. You only need a minimum of two points to define a unique line, meaning we only need to verify two points on the line. Anything more is just extra busy work.
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If we tried (2,4) with choice B, then,
5x+3y = 14
5(2)+3(4) = 14
10+12 = 14
22 = 14 which is false
This indicates (2,4) is not on the line 5x+3y = 14. We can rule out choice B because of this.
Answer:
2√6 ft
Step-by-step explanation:
Tan Ф = opposite/ adjacent
tan 60 = t / 2√2 ft
tan 60 = √3
t = (tan 60 )(2√2 ft)
t = (√3)(2√2 ft) = 2√6 ft
Answer:
2:55 P.M.
Step-by-step explanation:
First, add the amount of time Jim played outside; 45+55=100
100 minutes is equal to 1 hour 40 minutes.
If he left the playground at 4:35 P.M., then you have to subtract in order to find out when he arrived there.
Subtract 1 hour 40 minutes from 4:35 P.M. to then get 2:55 P.M.
To confirm your answer, you can add back the 1 hour and 40 minutes to 2:55 P.M. and you'll get 4:35 P.M.; back with what you started with.
Hope this helped !!!
