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3 years ago

Write the standard form of the equation of line through (3, -1) with a slope of -1.

Mathematics

1 answer:

kirill115 [55]3 years ago

5 0

The standard form of a line: $Ax+By=C$ .

The point-slope form: $y-y_1=m(x-x_1)$

We have the point (3, -1) and the slope m = -1. Substitute:

$y-(-1)=-1(x-3)$

$y+1=-x+3$ add x to both sides

$x+y+1=3$ subtract 1 from both sides

$\boxed{x+y=2}$

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Evaluate 2 times 3 to the power of 2 minus 5

bekas [8.4K]

The answer is 13 common sense

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2 years ago

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Graph the system of equations on your graph paper to answer the question.

scZoUnD [109]

y=x-4
y=-x+6
---------------------
Substitute x - 4 for y in y=-x+6
x-4=-x+6
--------------------------------
Add X on each side
x-4+x=-x+6+x
2x - 4 = 6
--------------------------------------
Add 4 on each side
2x-4+4=6+4
2x = 10
------------------------------------------------
Divide by 2 on each side
2x ÷ 2 = 10 ÷ 2
x = 5
Now we have X
================================================================
To find Y we substitute 5 for x in y=x-4
y = 5 - 4
y = 1
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Your answers are Y = 1 and X = 5

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2 years ago

What two numbers add up to -20 and multiply to -1125

Oliga [24]

I don't have my calculator handy just now. But just looking at that problem, why don't you try +20 and -45 and see if they do the job.

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2 years ago

D) Vivek is 30 years younger than his father. After 10 years their ages will be in the ratio 1:2. Find their present ages.

tangare [24]

Answer:

I think Vivek is 20 and his father is 50

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2 years ago

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Intrigued by a 2013 study at the University of Nebraska that suggested marijuana smokers may be thinner than other adults, a gro

Reptile [31]

this question is incomplete, the complete question is:

1. is this model effective

2. what is the correlation coefficient for this data.

3. for a student with a bmi of 25, what is the predicted number of hours under the influence.

Step-by-step explanation:

1. first of all this model is not effective because we have r² as 0.134. this tells us that only 13.4 percent of the of the variations that exist in this data has been explained by the model

1. we get the correlation coefficient by

$+-\sqrt{r^{2} }$

the regression slope coefficient has a negative sign. this is what we would use in calculating the correlation coefficient.

$-\sqrt{r^{2} }$

= -√0.134

= -0.366

therefore the correlation coefficient is -0.366

2. to get the number of hours under the influence with a bmi of 25

the equation is

49.2-1.15bmi

= 49.2-1.15(25)

= 49.2-28.75

= 20.45

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3 years ago