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vivado [14]
1 year ago
13

The pair of points lies on the same line with the given slope. Find x.

Mathematics
1 answer:
Darya [45]1 year ago
7 0

Answer:

x = 6

Step-by-step explanation:

Find the equation of the line

y = mx + b

Use the slope given 3 and the x of 4 and the y of 11 from the point given (4,11)

11 = 3(4) +b   Solve for y

11 = 12 + b  Subtract 12 from both sides

-1 = b

y = 3x -1  This is the equation of the line.  Substitute in 17 for y and solve for x

17 = 3x -1  Add 1 to both sides

18 = 3x  Divide both sides by 3

6 = x

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Answer:

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Step-by-step explanation:

Simple Interest = PRT/100

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SI = (1200*5.5*25)/100

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If y=6 when x=15 then which of thr following is the value of x when y=20
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if you meant x times y...

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if you meant x + y...

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Combine the like terms to make a simpler expression -k - (-8k)
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Identify the values that should be written to complete the X diagram.
cestrela7 [59]

Answer:

See the attachment for what goes on your X diagram.

Rewrite: x² -7x +4x -28

Grouping: (x² -7x) +(4x -28) = x(x -7) +4(x -7) = (x +4)(x -7)

Step-by-step explanation:

The given quadratic is ...

... x² -3x -28 . . . . . a=1, b=-3, c=-28

a) The value at the top of the X diagram is the product a·c = 1·(-28) = -28.

The value at the bottom of the X diagram is the coefficient b = -3.

The values on the sides of the diagram are the factors of -28 that add up to make -3. These are -7 and 4. That is, ...

(-7)·(4) = -28

(-7)+(4) = -3

b) Since the two values on the sides of the diagram add up to give "b", the value of "b" in the equation can be rewritten as the sum of these two numbers. Doing that, we have ...

... x² -3x -28

... = x² +(-7+4)x -28

... = x² -7x +4x -28 . . . . . . order does not matter. It could also be x² +4x -7x -28

c) We can group pairs of terms in the rewritten expression and factor each pair.

... = (x² -7x) +(4x -28) . . . . . first pair has a common factor of x; second pair, 4

... = x(x -7) +4(x -7) . . . . . . . these terms now have a common factor: (x -7)

... = (x +4)(x -7) . . . . . . . . . . the complete factorization of x² -3x -28

3 0
3 years ago
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