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OlgaM077 [116]
2 years ago
13

The equation of the line parallel to y-8=1/8(x+8) that passes through Q(1,-1) is

Mathematics
1 answer:
Mars2501 [29]2 years ago
7 0

Answer:

Find the distance between the given points: (-7, 5) and (-8, 4)

Step-by-step explanation:

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What is the equation of the line that passes through (4, -1)
Mekhanik [1.2K]

Answer:

Step-by-step explanation:

answer: y = -5 + 19

We can use the point-slope formula to find an equation to solve this problem. The point-slope formula states: (y−y1)=m(x−x1)

Where m is the slope and (x1y1) is a point the line passes through.

Susbtituting the slope and values from the point from the problem gives:

(y−−1)=−5(x−4)

(y+1)=−5(x−4)

We can also solve this for the slope-intercept form. The slope-intercept form of a linear equation is: y=mx+b

Where m is the slope and b is the y-intercept value.

Substitute the slope from the problem for m and the values of the point from the problem for x and y and solve for b:

−1=(−5⋅4)+b

−1=−20+b

20−1=20−20+b

19=0+b

19=b

We can substitute for m and b in the formula to find the equation:

y=−5x+19

6 0
2 years ago
Read 2 more answers
If I played at 2am and for my friend his time 8am so now if it 6pm for me now , what time is it for him? Hint For him will be Am
astra-53 [7]

Answer:

12am

Step-by-step explanation:

Add 6 hrs to 6pm, you will get 12am

7 0
3 years ago
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What reference angle in the first quadrant corresponds to theta = -120? Answer in radians.
creativ13 [48]
To draw theta=-120° in the unit circle, we move clockwise 90°, then another 30°.

This means that we pass the fourth quadrant and stop in the third quadrant.

The reference angle of an angle theta in the third quadrant, is theta + 180°.

So the reference angle of -120° is -120°+180°=60°.


         360° are 2π Radians
then  60° are 1/6 of 2π Radians = π/3 Radians


Answer: Reference angle is π/3 Radians
4 0
2 years ago
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There are 108 flights from an airport, 20 of which are longer than 3 hours. The flight from this airport will be randomly chosen
andrew-mc [135]
20 / 108 reduces to 5/27
3 0
3 years ago
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Which option is the best. Use math to support ur answer.
snow_tiger [21]

Answer:

The option A has the cheapest price of the liter, so it is the better buy.

Step-by-step explanation:

The best buy is going to be the one with the lowest liter price.

The liter price of each option can be found by a rule of three problem:

Rule of three problem:

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

For each option, in this problem, the measures are:

- The number of liters bought

- The total cost

As the number of liters bought increases, so will the total cost. It means that the relationship between the measures is direct.

Option A:

2 liters - $1.29

1 liter - x

2x = 1.29

x = \frac{1.29}{2}

x = 0.645

In option A, each liter costs $0.645

Option B

A six pack of half a liter was bought. So in all, 3 liters were bought.

3 liters - $2.99

1 liter - x

3x = 2.99

x = \frac{2.99}{3}

x = $0.997

In option B, each liter costs $0.997

Option C

A 12 pack of half a 0.35 liter was bought. So in all, 4.2 liters were bought

4.2 liters - $3.50

1 liter - x

4.2x = 3.50

x = \frac{3.5}{4.2}

x = $0.8333

In option C, each liter costs $0.8333

The option A has the cheapest price of the liter, so it is the better buy.

7 0
3 years ago
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