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3 years ago

Select the correct answer from the drop-down menu.

Mathematics

2 answers:

Archy [21]3 years ago

5 0

-2,-2 I think that’s the answer

snow_tiger [21]3 years ago

3 0

I believe it is -2, -2.

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What is the equation of the line that passes through the points (4/5,1/5) and (1/2,3/2)?

Setler [38]

Answer:

$y-\frac{3}{2}=\frac{-13}{3}(x-\frac{1}{2})$ point-slope form

$13x+3y=11$ (standard form)

Let me know if you prefer another form.

Step-by-step explanation:

The slope of a line can be found using $\frac{y_2-y_1}{x_2-x_1}$ provided you are given two points on the line.

We are.

Now you can use that formula. But I really love to just line up the points vertically then subtract them vertically then put 2nd difference over 1st difference.

(4/5 , 1/5)

-( 1/2 , 3/2)

-----------------

3/10 -13/10

2nd/1st = $\frac{\frac{-13}{10}}{\frac{3}{10}}=\frac{-13}{3}$ is our slope.

So the following is point-slope form for a linear equaiton:

$y-y_1=m(x-x_1) \text{ where } m \text{ is slope and } (x_1,y_1) \text{ is a point on the line }$

Plug in a point $(x_1,y_1)=(\frac{1}{2},\frac{3}{2}) \text{ and } m=\frac{-13}{3}$ .

This gives:

$y-\frac{3}{2}=\frac{-13}{3}(x-\frac{1}{2})$

I'm going to distribute:

$y-\frac{3}{2}=\frac{-13}{3}x-\frac{-13}{6}$

Now I don't like these fractions so I'm going to multiply both sides by the least common multiply of 2,3, and 6 which is 6:

$6y-9=-26x+13$

Add 26x on both sides:

$26x+6y-9=13$

Add 9 on both sides:

$26x+6y=22$ This is actually standard form of a line.

It can be simplified though.

Divide both sides by 2:

$13x+3y=11$ (standard form)

7 0

3 years ago

Read 2 more answers

A bag contains 5 red, 4 green, and 3 blue marbles.

Mila [183]

Answer:

1/12

Step-by-step explanation:

I just did this question and it was right :)

Thought I would help since I couldn't find the answer

8 0

3 years ago

Use the graph to identify the slope and y-intercept. Can you help me identify them?.<br><br>

Crazy boy [7]

Answer:

y intercept is (0,4) and slope is -2

Step-by-step explanation:

y intercept is (0,4) you can see where it intercepts.

The slope is rise/run so 4/-2 so -2

5 0

3 years ago

The ratio of green pepper plants to red pepper plants in Adelins garden is 3 to 5. If there are 20 red peppers plants, how many

Anon25 [30]

Answer:I think is 5.

Step-by-step explanation:

5 0

3 years ago

What is the solution to: <br> T/t-4=t+4/6

S_A_V [24]

$\frac{t}{t-4}= \frac{t+4}{6} \\ t \neq 4 \\ 6t= (t+4)(t-4) \\ 6t=t^2-16 \\ t^2-6t-16=0 \\ D=b^2-4ac=(-6)^2-4*1*(-16)=36+64=100 \\ t_{1,2}= \frac{-bб \sqrt{D} }{2a} \\ t_1= \frac{6-10}{2}=-2 \\ \ t_2= \frac{6+10}{2}=8$

Answer: t=-2, t=8

4 0

3 years ago