If you can, please leave an explanation so I can learn how to do it rathe than just copying

Mathematics

1 answer:

castortr0y [4]2 years ago

6 0

Answer:

Point-Slope: y+1=-5/7(x-5)

Slope Intercept: y=-5/7x+ 2 4/7

Standard: -5x+7y=18

Step-by-step explanation:

Slope: -5/7

Point slope is when the equation is in y-y1=m(x-x1) form.

I used the point (5,-1) but it really doesn't matter which one

Substitute it into (x1,y1)

y--1=-5/7(x-5)

y+1=-5/7(x-5) **2 minus signs is equal to 1 plus sign**

Slope-intercept is when the equation is in y=mx+b form.

y=-5/7x+b

To solve for b, plug in one of the points (again, I choose to use (5,-1)

(-1)=-5/7(5)+b

-1=-25/7+b is equal to asking -1=-3 4/7+b

b=2 4/7

Standard form is when it is in Ax+By=C

We'll covert from slope intercept to standard: y=-5/7+ 2 4/7

y=-5/7x+ 2 4/7 is the same as y=(-5/7x+ 18/7)

7y=5x+18 **Multiply both sides by 7, the common denominators**

-5x+7y=18 **Subtract 5x from both sides**

Sorry it took it while to get everything down but I hope this helps~

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Sari is teaching her best friend how to factor trinomials with a leading coefficient greater than 1. She starts with the trinomi

Eva8 [605]

Answer:

See explanation

$2x^2+5x+3=(x+1)(2x+3)$

Step-by-step explanation:

1. Make sure that the trinomial is written in the correct order - the trinomial must be written in descending order from highest power to lowest power. In you case, the trinomial must be written as

$2x^2+5x+3$

2. Decide if the three terms have anything in common, called the greatest common factor or GCF. If so, factor out the GCF. Do not forget to include the GCF as part of your final answer.

In your case, coefficients 2, 5 and 3 do not have common factors, so go to the next step.

3. Multiply the leading coefficient and the constant, that is multiply the first and last numbers together:

$2\cdot 3=6$

4. List all of the factors from step 3 and decide which combination of numbers will combine to get the number next to x:

$6=1\cdot 6\\ \\ \bf{6=2\cdot 3}$

5. After choosing the correct pair of numbers, you must give each number a sign so that when they are combined they will equal the number next to x and also multiply to equal the number found in Step 3:

$2+3=5$