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harina [27]
3 years ago
12

In the graph shown below, if lines land 12 are parallel, then the slope of line 12 is

Mathematics
1 answer:
Yanka [14]3 years ago
4 0

9514 1404 393

Answer:

  4

Step-by-step explanation:

The slope of L1 is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (5 -1)/(-2 -(-3)) = 4/1 = 4

The slope of L2 is the same as the slope of L1. The slope is 4.

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Solve the system of linear equations. <br>- 3x + 5y = 13 <br> x + 4y = -10 ​
Molodets [167]

Answer:

(-6,-1)

Step-by-step explanation:

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A store pays $996 for a barbecue grill and marks the price up by
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Just saying this but don't go to that store!  The answer, by the way is $1494
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jake bought 5 pounds of candy he gave 3 pounds of candy away and he ate 10 ounces candy how many ounces of candy doues jake have
Novosadov [1.4K]

Answer:

22 onces

Step-by-step explanation:

16 ounces in a pound

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Read 2 more answers
Which of the following is NOT a linear factor of the polynomial function?
Natalija [7]

Answer:

Among the four choices, (x + 5) is the only one that is not a linear factor of this polynomial function.

Step-by-step explanation:

Let a denote some constant. A linear factor of the form (x - a) is a factor of a polynomial f(x) if and only if f(a) = 0 (that is: replacing all x in the polynomial f(x) \! with the constant a\! would give this polynomial a value of 0.)

For example, in the second linear factor (x - 2), the value of the constant is a = 2. Verify that the value of f(2) is indeed 0. (In other words, replacing all x in the polynomial f(x) \! with the constant 2 should give this polynomial a value of 0\!.)

\begin{aligned}f(2) &= 2^3 - 5\times 2^2 - 4 \times 2 + 20 \\ &= 8 - 20 - 8 + 20 \\ &= 0 \end{aligned}.

Hence, (x - 2) is indeed a linear factor of polynomial f(x).

Similarly, it could be verified that (x - 5) and (x + 2) are also linear factors of this polynomial function.

Rewrite the first linear factor (x + 5) in the form (x - a) for some constant a: (x + 5) = (x - (-5)), where a = -5.

Calculate the value of f(5).

\begin{aligned}f(5) &= (-5)^3 - 5\times (-5)^2 - 4 \times (-5) + 20 \\ &= (-125) - 125 + 20 + 20 \\ &= -210\end{aligned}.

f(5) \ne 0 implies that (x - (-5)) (which is equivalent to (x + 5)) isn't a linear factor of this polynomial function.

3 0
3 years ago
Find the x-intercept of the line 3x - 9y = 15.
erastovalidia [21]

Answer:

The x-intercept is 5.

Some people prefer you right it as a point (5,0).

Step-by-step explanation:

The x-intercept can be found by setting y=0 and solving for x.

Just like to find the y-intercept you can set x=0 and solve for y.

Let's find the x-intercept.

So we will set y=0 and solve for x:

3x-9y=15

3x-9(0)=15

3x-0    =15

3x        =15

Divide both sides by 3:

 x         =15/3

 x          =5

So the x-intercept is (5,0).

4 0
3 years ago
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