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ki77a [65]
3 years ago
11

2. Write the equation of the line that passes through point (8, -2) and parallel to line y =-1/4x-2

Mathematics
1 answer:
Ludmilka [50]3 years ago
5 0

Answer:

y = -1/4x

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is y = -1/4x - 2. Its slope is -1/4. A line parallel to this one will also have a slope of -1/4.

Plug this value (-1/4) into your standard point-slope equation of y = mx + b.

y = -1/4x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (8, -2). Plug in the x and y values into the x and y of the standard equation.

-2 = -1/4(8) + b

To find b, multiply the slope and the input of x (8)

-2 = -2 + b

Now, add 2 to both sides to isolate b.

0 = b

Plug this into your standard equation.

y = -1/4x

This equation is parallel to your given equation (y = -1/4x - 2) and contains point (8, -2)

Hope this helps!

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Answer 37, 38, and 39 and make sure to answer with either the letter or with one of the answers shown! SHOW YOUR WORK PLEASE!!
ollegr [7]

Answer:

I didn't even realize until I had written all of the answers down that they are all <u><em>C.</em></u>

37 = C. <u>15%</u>

38 = C. <u>2x^{3}</u>

39 = C. <u>48</u>

Step-by-step explanation:

37: I used process of elimination to figure out which percentage of decrease it was by just multiplying 42 by each percentage until I got 6.3 which is what you need to subtract from 42 to get 35.7, so the answer is C, or 15%.

38: A coefficient is the number that is being multiplied by the variable, which in this case is "x". So whatever answer involves "2x" is the correct answer. Therefore the answer is C, or <u>2x^{3}.</u>

39: You have to add the amount of money Henry paid for painting supplies and how much profit he mad to figure out how much money he really made. 400 + 560 = 960 and he charges $20 for each painting so you need to divide 960/20 to get your answer, which is C, or 48.

8 0
3 years ago
Which of the following appear in the diagram below? Check all that apply. X Z. W O A. _XYZ B. ZYXZ C. w D. YX​
iren2701 [21]

Answer:

A, C, and D.

Step-by-step explanation:

<XYZ appears in the diagram as the vertex angle Y, has two sides, YW and YX that intersect at point Y to form <XYZ.

Thus, <XYZ, line segments YW and YX all appear in the diagram given.

<YXZ does not appear because there's no vertex angle labelled X.

8 0
3 years ago
If US$1.00 is equivalent JA $75.00, What amount, in US dollars is equivalent JA $3300.00
emmasim [6.3K]

Answer:

It is US $44.00 Equivalent

Step-by-step explanation:

Using ratios (essentially fractions):

1 US : 75 JA

OR

1 US = 75 JA

Dividing both sides by 75 gives us:

\frac{1}{75}US = 1 JA

So if we have 3300 JA we can multiply both sides to get:

44 US = 3300 JA

3 0
3 years ago
Which of the following is a correct equation for the line passing through the
kipiarov [429]

Answer:

2x-3y=-12

Step-by-step explanation:

We can use the point-slope formula given by:

y-y_1=m(x-x_1)

The given line passes through the

point (-3,2) and having slope m=\frac{2}{3}.

We substitute the given point and slope to get:

y-2=\frac{2}{3}(x--3)

y-2=\frac{2}{3}(x+3)

we clear the fraction to get;

3y-6=2(x+3)

3y-6=2x+6

3y-2x=6+6

3y-2x=12

Or in standard form:

2x-3y=-12

8 0
3 years ago
No need to explain just tell the answer
Ad libitum [116K]

Answer: z = 18

Step-by-step explanation:

180 = 90 + (3z+4) + (2z-4)

z = 18

8 0
3 years ago
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