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kirill115 [55]
3 years ago
12

The equation:

Mathematics
1 answer:
serious [3.7K]3 years ago
5 0

2x + 4 =  - 8 + 5x \\ 12 = 3x \\ x = 4

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Which equation represents the line that passes through the points (2, 4) and (1, -3)?
zhannawk [14.2K]

Answer:

y = 7x - 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (1, - 3)

m = \frac{-3-4}{1-2} = \frac{-7}{-1} = 7, thus

y = 7x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 4), then

4 = 14 + c ⇒ c = 4 - 14 = - 10

y = 7x - 10 ← equation of line

6 0
3 years ago
There are 3 blue marbles, 6 red marbles, 2 green marbles and 1 black marble in a bag. Suppose you select one marble at random. F
laila [671]

Answer:

For blue its 3/12 = 1/4 = 25%

For red it's 6/12= 1/2= 50%

For green 2/12= 1/6= 17%

For black 1/12= 8%

Step-by-step explanation:

All you have to do is add up all the marbles 3 + 6 + 2 + 1 = 12 and then you put the number of marbles for each color and divide it by 12 which gives you those percentages. I don't know if you wanted the answers in percentages or fractions so I gave you both . Good luck!!

4 0
3 years ago
What is the slope of the line shown below? (Enter your answer as a decimal if<br> necessary.)
Mars2501 [29]
(1,-1) (-3,-3)
-3 - -3/ -1 -1
0/ -2
Slope is -2
4 0
3 years ago
If average of 3 quantities is 15 , sum of quantities is....?
Verizon [17]

Answer:

45

Step-by-step explanation:

Let the three quantities be x, y and z.

\because \: average =  \frac{sum \: of \: quantities}{no \: of \: quantities}  \\  \\  \therefore \: 15 =  \frac{x + y + z}{3}  \\  \\ 15 \times 3 = x + y + z \\  \\ \huge \purple{ 45 = x + y + z}

8 0
2 years ago
M&lt;2=4x+12 <br> Someone help
Katarina [22]
X=12. So this one says that it has 3 congruent sides so therefore it has to have 3 congruent angles. Here we have angle 2 and we have angle 60. Given the definition of triangle congruence, we can say that 60 is angle 2 and that the third angle is also 60 but it’s not relevant in this problem. So knowing that angle 2 is 4x+12 we solve for x by seeding that equal to 60 and then solving for x we get x=12. Hope this helps!!!!

8 0
2 years ago
Read 2 more answers
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