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Alex787 [66]
2 years ago
15

(Due in 30 minutes!)

Mathematics
1 answer:
notka56 [123]2 years ago
7 0

Answer:

y = 6x - 12

Step-by-step explanation:

In order to find the equation of the line in slope-intercept form, y = mx + b, we need to find the slope and the y-intercept of the given graph.

Given points (2, 0) and (0, -12)

Let (x1,y1) = (2, 0)

(x2, y2) = (0, -12)

We can use the following slope formula to find the slope of the line:

m = (y2 - y1)/(x2 - x1)

m = (-12 - 0)/(0 - 2)

m = -12/ -2

m = 6

Therefore, the slope (m) of the line is 6.

Next, we need to determine the y-intercept of the line. The y-intercept is the point on the graph where it crosses the y-axis, and has the coordinate (0, <em>b</em>). If you look at the graph, the line crosses at point (0, -12), which is also on of the points that we used earlier to solve for the slope. The y-coordinate of (0, -12) is the y-intercept (b). Thus, the y-intecept (<em>b</em>) = -12.  

Therefore, the linear equation of the given graph is:

y = 6x - 12

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Calculate the area, with the appropriate number of significant figures, of a rectangular room that is 14.10 m wide by 15.0 m lon
Paladinen [302]
<h3>Answer: Choice A) 212 square meters</h3>

========================================================

Explanation:

14.10 has four sig figs. The 0 at the end is significant. This measurement is accurate to the hundredths place. If the author wrote 14.1, then it would be accurate to the tenths place with three sig figs.

15.0 has three sig figs. The 0 is significant. If they wrote 15 or 15. then we'd be dealing with 2 sig figs instead; however they placed the 0 there to tell the reader "this measurement is accurate to the tenths place"

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

Multiply the values given

14.10*15.0 = 211.5

Round that to three sig figs. We pick the smaller sig fig count to round to since we cannot be certain it is accurate to four sig figs. In a sense, we pick the weakest link and use that to determine rounding when it comes to multiplication and division.

This means 211.5 rounds to 212

6 0
3 years ago
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Zina [86]

Answer:

B.

Step-by-step explanation:

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4 0
2 years ago
What is the union of the set (1, 4, 6, 8 1/2,10) and (1, 3, 11/2, 6, 10 1/2)
makkiz [27]

Answer:

(1, 4, 6, 8, \frac{1}{2}, 10, 3, \frac{11}{2})

Step-by-step explanation:

We need to find union of given sets (1, 4, 6, \frac{1}{2}, 10) and (1, 3, \frac{11}{2}, 10, \frac{1}{2})

We know by definition that union of two given sets say A and B is set C with all the unique and common values given in set A and B.

∴ (1, 4, 6, \frac{1}{2}, 10) ∪ (1, 3, \frac{11}{2}, 10, \frac{1}{2}) = (1, 4, 6, 8, \frac{1}{2}, 10, 3, \frac{11}{2})

4 0
3 years ago
Someone please help with this problem
den301095 [7]
A) write an equation you can solve to find the cost of one ticket
x=cost of one ticket.
9x+5=104

b)
I have to solve this equation.
1)adding -5 to each side
2) dividing both sides by 9

c)
9x+5=104
1) 9x+5-5=104-5
     9x=99
2) 9x/9=99/9
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the cost of each ticket was $11
 
3 0
2 years ago
Y-3=-3y-43 show the work
Bumek [7]

Answer:

y = - 10

Step-by-step explanation:

Given

y - 3 = - 3y - 43 ( add 3y to both sides )

4y - 3 = - 43 ( add 3 to both sides )

4y = - 40 ( divide both sides by 4 )

y = - 10

8 0
3 years ago
Read 2 more answers
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