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soldi70 [24.7K]
2 years ago
11

What is the slope of a line parallel to the line whose equation is 6x+9y=216. Fully reduce your answer.

Mathematics
1 answer:
Colt1911 [192]2 years ago
3 0

Answer:

Solve the equation so it is in the y=mx+b form.

Step 1. 6x+9y = 216

Step 2. 9y = -6x+216

Step 3. y = -6/9x+24

Step 4. Simplify/Reduce to get y = -2/3x+24

Since it is Parallel then the slope is the same so the slope is -2/3x.

Step-by-step explanation:

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Evaluate the function for the given value.<br><br> f(-3) if f(x) = 4x 2 + 7x
Natasha_Volkova [10]

Answer:

x = 15

Step-by-step explanation:

f(x) = 4x² + 7x

= 4(-3)² + 7(-3)

= 36 + (-21)

= 15

3 0
3 years ago
Question 8<br> What is (4x - 5)(6x + 5) expressed as a trinomial?
erica [24]

Answer:

24x^2 -10x - 25

Step-by-step explanation:

24x^2 + 20x - 30x - 25

24^2 -10x - 25

8 0
3 years ago
Read 2 more answers
Use integration by parts to find the integrals in Exercise.<br> ∫(4x-12)e-8x dx.
stepladder [879]

Answer:

e(2x^{2} -12x)-4x^{2}+C

Step-by-step explanation:

We have been given an indefinite integral as \int \left(4x-12\right)e-8x\:dx. We are asked to find the given integral.

Let us solve our given problem.

\int \left(4x-12\right)e\:dx-\int 8x\:dx

Take out constant:

e\int \left(4x-12\right)\:dx-8\int x\:dx

e(\int 4x\:dx -\int 12\right\:dx)-8\int x\:dx

e(\frac{4x^{1+1}}{2} -12x)-8*\frac{x^{1+1}}{1+1}+C

e(\frac{4x^{2}}{2} -12x)-8*\frac{x^{2}}{2}+C

e(2x^{2} -12x)-4x^{2}+C

Therefore, our required integral would be e(2x^{2} -12x)-4x^{2}+C.

5 0
3 years ago
Explain how the number line can
DochEvi [55]

9514 1404 393

Answer:

  points closest to zero will give the least change; those farthest away will give the greatest change. Listing the points in order by distance from 0 will put them in order by amount of change.

Step-by-step explanation:

The amount of change is the absolute value of the number on the number line. That value is the (positive) distance from 0. The numbers will most easily be compared if they are all put on one side of zero. For example, -1.75 and 1.75 are the same distance from zero, as are -3.25 and 3.25.

Listing the points in order by distance from 0 will put them in order by amount of change. In order, least change to greatest change, the numbers are ...

  -1.75, 2.50, -3.25, -3.50, 4.75

5 0
3 years ago
The slope of the line below is -5. Which of the following is the point slope form of the line (2,-7)
tatyana61 [14]

Plugging in (2,-7) into

y=-5x+b, we get that b=3.

Therefore, the equation is y=-5x+3

7 0
3 years ago
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