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ddd [48]
3 years ago
9

Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form.

Mathematics
1 answer:
3241004551 [841]3 years ago
3 0
(3,4)(2,-1)
slope(m) = (y2 - y1) / (x2 - x1)
slope(m) = (-1-4) / (2 - 3) = -5/-1 = 5

y = mx + b
slope(m) = 5
u can use either of ur points...(3,4)...x = 3 and y = 4
now we sub and find b, the y int
4 = 5(3) + b
4 = 15 + b
4 - 15 = b
- 11 = b

so ur equation is : y = 5x - 11 <===

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3 0
3 years ago
For a 30 sided polygon, what is the degree of rotation?
ratelena [41]


interior angle of n-gon formula: 180 - ( 360 / n) 
a 30 sided polygon, so in this case n = 30
so
interior angle = 180 - ( 360 / 30) 
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answer
168 degrees
3 0
3 years ago
Read 2 more answers
16. Let W be the set of all vectors in R3 of the form a+2b b -3a Find a basis for Wand state the dimension of W.
Yuki888 [10]

Answer:

W=\{\left[\begin{array}{ccc}a+2b\\b\\-3a\end{array}\right]: a,b\in\mathbb{R} \}

Observe that if the vector x=\left[\begin{array}{ccc}x\\y\\z\end{array}\right] is in W then it satisfies:

\left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{c}a+2b\\b\\-3a\end{array}\right]=a\left[\begin{array}{c}1\\0\\-3\end{array}\right]+b\left[\begin{array}{c}2\\1\\0\end{array}\right]

This means that each vector in W can be expressed as a linear combination of the vectors \left[\begin{array}{c}1\\0\\-3\end{array}\right], \left[\begin{array}{c}2\\1\\0\end{array}\right]

Also we can see that those vectors are linear independent. Then the set

\{\left[\begin{array}{c}1\\0\\-3\end{array}\right], \left[\begin{array}{c}2\\1\\0\end{array}\right]\} is a basis for W and the dimension of W is 2.

7 0
2 years ago
The histogram shows the distribution of minting year for a sample of
Anettt [7]

All the parts of the questions about the given histogram have been answered below.

<h3>What is a histogram?</h3>
  • A histogram is a graph that depicts the frequency of numerical data using rectangles.
  • The vertical axis of a rectangle represents the distribution frequency of a variable (the amount, or how often that variable appears).

(A) The distribution of minting year:

According to the histogram, the distribution of minting years is 1900-1910 and 1940-2020.

(B) The median:

Add the two middle numbers together and divide them by two to get the median.

10 + 15 / 2 = 12.5

So, the median is somewhere between 10-15.

(C) The range:
The range is computed by subtracting the lowest and highest values.

25 - 0 = 25

So, the range is 25.

(D) The potential outliers:

According to the histogram, the potential outliers are 1910-1940.

Therefore, all the parts of the questions have been answered.

Know more about histograms here:

brainly.com/question/2962546

#SPJ4

8 0
1 year ago
Ramon earns $1,640 each month and pays $53.60 on electricity. To the nearest tenth of a percent, what percent of Ramon's earning
Pavel [41]

Answer:

I need points sorry for this

4 0
2 years ago
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