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GrogVix [38]
3 years ago
14

Standard form of line that passes thru (-3,5) and (-2,-6)

Mathematics
1 answer:
katovenus [111]3 years ago
4 0

Answer:

11x + y = -28

Step-by-step explanation:

Step 1: Find slope

(6-5)/(-2--3) = -11

Step 2: Find y-intercept

y = -11x + b

5 = -11(-3) + b

5 = 33 + b

b = -28

Step 3: Write in slope-intercept form

y = -11x - 28

Step 4: Convert to standard form

11x + y = 28

And we have our final answer!

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Factor completely 4x3 + 28x2 + 7x + 49.
umka21 [38]
Try grouping in paires

4x^3 + 28x^2 + 7x + 49

= 4x^2(x + 7) + 7(x + 7)  - note  that (x + 7) is common to the 2 parts, so

=  (4x^2 + 7)(x + 7)
7 0
3 years ago
Read 2 more answers
Car X weighs 136 pounds more than car Z. Car Y weighs 117 pounds more than car Z. The total weight of all three cars is 9439 pou
Aleksandr [31]

Let x, y and z denote the weighs of car X, car Y and car Z, respectively.

We know that car X weighs 136 more than car Z, this can be express by the equation:

x=z+136

We also know that Y weighs 117 pounds more than car Z, this can be express as:

y=z+117

Finally, we know that the total weight of all the cars is 9439, then we have:

x+y+z=9439

Hence, we have the system of the equations:

\begin{gathered} x=z+136 \\ y=z+117 \\ z+y+z=9439 \end{gathered}

To solve the system we can plug the values of x and y, given in the first two equations, in the last equation; then we have:

\begin{gathered} z+136+z+117+z=9439 \\ 3z=9439-136-117 \\ 3z=9186 \\ z=\frac{9186}{3} \\ z=3062 \end{gathered}

Now that we have the value of z we plug it in the first two equations to find x and y:

\begin{gathered} x=3062+136=3198 \\ y=3062+117=3179 \end{gathered}

Therefore, car X weighs 3198 pound, car Y weighs 3179 pounds and car Z weighs 3062 pounds.

4 0
1 year ago
a music store is advertising a 25% off sale on all new releases find the discount and the sale price of a newly released CD that
ludmilkaskok [199]
Discount=$3.13
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Answer:

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Step-by-step explanation:

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aniked [119]
The answer is 134 degrees
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