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Radda [10]
3 years ago
10

Use y = mx + b to determine the equation of a line that passes through the point A(-1, 4) and is

Mathematics
1 answer:
Shalnov [3]3 years ago
4 0

Answer:

Step-by-step explanation:

If we are looking for a line parallel to the given line, we need to find the slope of the given line, since parallel lines have the exact same slope. That means that we need to solve this equation for y, which naturally puts the line into slope-intercept form. Solving for y:

-2y = -4x - 8 and

2y = 4x + 8 so

y = 2x + 4 and the slope, we see here, is 2. Use that slope and the given point of (-1, 4) to write the new equation we need.

In point-slope form, the line will be

y - 4 = 2(x - (-1)) which simplifies a bit to

y - 4 = 2(x + 1). That's point-slope form. Putting it into slope-intercept just requires that we solve this equation for y:

y - 4 = 2x + 2 and

y = 2x + 6. That's slope-intercept form of the same line. The last form is standard, which looks like this:

-2x + y = 6 or, if you don't like to lead with a negative,

2x - y = -6

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Answer:

The slope of line a is * also.

Step-by-step explanation:

Parallel lines have the same slope. Whatever number, fraction, variable, symbol is given for the slope of one line, the other must have the same number, fraction, variable, symbol, if they are parallel.

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A die is rolled 20 times. given that three of the rolls came up 1, five came up 2, four came up 3, two came up 4, three came up
Serjik [45]

Solution:

Number of times a die is rolled = 20

1 - 3=A

2 - 5=B

3 - 4=C

4 - 2=D

5 - 3=E

6 -  3=F

Total number of arrangements of outcomes , when a dice is rolled 20 times given that 1 appear 3 times, 2 appears 5 times, 3 appear 4 times, 4 appear 2 times , 5 appear three times, and 6 appear 3 times

            = Arrangement of 6 numbers (A,B,C,D,E,F) in 6! ways and then arranging outcomes

= 6! × [ 3! × 5! × 4!×2!×3!×3!]

= 720 × 6×120×24×72→→[Keep in Mind →n!= n (n-1)(n-2)(n-3)........1]

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8 0
3 years ago
If f(x) = 9x -2 and g(x) =-2x?, what is the value of f(4) - 9(4)?
otez555 [7]

f(4)=9*4-2 =34 & g(4)= -2*4 =-8 then,

f(4)- g(4) = 34+8= 42

8 0
3 years ago
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Frozen motts sticks cost $.022 each. If there are 6 sticks in on order, what is the portion cost for an order of motts sticks?
solong [7]

Answer:

$ 1.32

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

  • Cost of each Mott's Stick = $0.22 .

Now there are 6 sticks in an order . So the cost of six sticks will be ,

→ Cost = $ 0.22 × 6

→ Cost = $ 1.32

<h3>Hence the cost of an order of sticks is $ 1.32 </h3>
8 0
3 years ago
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