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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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3 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

Because 30 + 30 equals 60 as he has to be half his age he'll be 30 but that's in 10 years time. you just subtract 30 and 60 by 10 and you'll get 20 and 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

8 0

3 years ago