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professor190 [17]
3 years ago
9

Passes through (-4, -3), slope = -2.

Mathematics
1 answer:
Lemur [1.5K]3 years ago
5 0

9514 1404 393

Answer:

  y +3 = -2(x +4)

Step-by-step explanation:

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . .  line with slope m through point (h, k)

For your given point and slope, this is ...

  y -(-3) = -2(x -(-4))

  y +3 = -2(x +4)

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If you remove the last digit (one’s place) from a 4-digit whole number, the resulting number is a factor of the 4-digit number.
shutvik [7]

Answer:

  900

Step-by-step explanation:

We assume that your 4-digit number must be in the range 1000 to 9999. Clearly, any number ending in zero will meet your requirement:

  1000/100 = 10

  3890/389 = 10

However, the requirement cannot be met when the 1s digit is other than zero.

__

For some 3-digit number N and some 1s digit x, the 4-digit number will be

  4-digit number: 10N+x

Dividing this by N will give ...

  (10N+x)/N = 10 remainder x

N will only be a factor of 10N+x when x=0.

So, there are 900 4-digit numbers that meet your requirement. They range from 1000 to 9990.

6 0
3 years ago
How would I solve for x
Fed [463]

Answer:

x=10

Step-by-step explanation:

The 3 angles of a triangle add to 180

4x+60+80 = 180

Combine like terms

4x+140 =180

Subtract 140 from each side

4x+140-140=180-140

4x = 40

Divide by 4

4x/4 = 40/4

x = 10

5 0
4 years ago
Read 2 more answers
450 people are randomly selected at grocery stores across the state and surveyed on the amount of money they are spending at the
____ [38]

Answer:

Step-by-step explanation:

Sample variance when large number of samples are drawn we have tend to become a normal distribution.

Variance of the sample is different since variance

Var(x) = E(x^2)-{E(x)}^2

is the formula used for finding the variance of any sample.

But sampling distribution of variance requires repeating this process with the different samples several times.

So option A is not right

B is also not correct, C is wrong

D.The sampling distribution of the mean requires multiple samples to be compared. However, in this situation you are looking for the variance, so finding the sample variance is the same as investigating the sampling distribution of the variance.

is correct

3 0
4 years ago
Why did most Americans reject Marxism in the early 1900s? They believed that a government-run economy was best for all. They bel
Nadusha1986 [10]

Answer:

They believed in a system owned and run by the individual

Step-by-step explanation:

In the early 1900's the majority of the Americans rejected the Marxist ideology, and they saw it as usurpation of their country and its foundations. The majority of the Americans favored the capitalism, and they saw their country as the country of opportunities where everyone can achieve everything if the person is smart enough and works hard enough. The Marxism suggested the total opposite of it, that everyone should be equal, have the same earnings, there's no prosper on a career level, so for the Americans was not attractive, and we can comfortably say that they made the right choice considering what happened in the countries that adopted this ideology.

7 0
4 years ago
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A given line has the equation 2x + 12y = −1. What is the equation, in slope-intercept form, of the line that is perpendicular to
VikaD [51]

Answer:

y = 6x + 9

Step-by-step explanation:

The equation of a line in slope- interceot form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 2x + 12y = - 1 into this form

Subtract 2x from both sides

12y = - 2x - 1 ( divide all terms by 12 )

y = - \frac{1}{6} x - \frac{1}{12} ← in slope- intercept form

with slope m = - \frac{1}{6}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{1}{6} } = 6

Note the line passes through (0, 9) on the y- axis ⇒ c = 9

y = 6x + 9 ← equation of perpendicular line

3 0
3 years ago
Read 2 more answers
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