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musickatia [10]
2 years ago
10

What is the solution to the system of equations?

Mathematics
1 answer:
jek_recluse [69]2 years ago
4 0

Answer: (8, -4)

Step-by-step explanation:

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What is the value of m,the points (2,3),(3,6)and (m,12) are collinear....Please y'all help me out
timurjin [86]

Answer:

m = 5

Step-by-step explanation:

Since the points are collinear, they all lie on the same line and have the same slope between them.

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (3, 6)

m = \frac{6-3}{3-2} = \frac{3}{1} = 3

Now calculate the slope using 2 other points and equate to 3

(x₁, y₁ ) = (3,  6) and (x₂, y₂ ) = (m, 12)

m = \frac{12-6}{m-3} = \frac{6}{m-3} = 3 ( multiply both sides by m - 3 )

6 = 3(m - 3) ← divide both sides by 3

2 = m - 3 ( add 3 to both sides )

5 = m

4 0
3 years ago
Read 2 more answers
Cristiano has 42 apples in his bag and his brother has only 16. How many apples should Cristiano give his brother so they both h
kolezko [41]

Answer:

13

Step-by-step explanation:

Total number of apples:  42 + 16 = 58

For each brother to have the same number of apples:  58/2 = 29 apples each

Therefore, to calculate the number of apples Cristiano has to give his brother, subtract 29 from the original number of 42 apples:

42 - 29 = 13

6 0
3 years ago
Read 2 more answers
PLEASE HELP!!
viktelen [127]

Answer:

C. The principal randomly selects homeroom classes and surveys each student in the chosen classes.

Step-by-step explanation:

Middle school is 6-8th. Surveying only the eighth-grade students won't give a representative sample of the whole school only the eighth-graders. Option A is incorrect.

Surveying only the students in detention represents a very small amount of students compared to the school, therefore it is not a representative sample. Option B is incorrect.

Yet again, the students in the math club is a small amount of students compared to the school. It does not represent the entire, or majority of the population. Option D is incorrect.

Picking students from homeroom classes and surveying each will give a wider variation of opinions from each grade and therefore a representative sample. Option C is the correct answer.

4 0
2 years ago
Find the​ mean, median, and mode of the​ data, if possible. If any of these measures cannot be found or a measure does not repre
Contact [7]

Answer:

1. Median = 10.1

2. A. The median represents the center.

3. D. The​ mode(s) can't represent the center because it​ (they) is​(are) not a data value.

Step-by-step explanation:

Mean of a sample = sum of the samples/no of the samples

Samples in increasing order:

9.8

9.8

9.9

10.1

10.4

10.6

11.1

Mode is the sample with highest frequency.

Median is the middle entry of the data.

Mean = (9.8 + 9.8 + 9.9 + 10.1 + 10.4 + 10.6 + 11.1)/7

= 717/7

= 10.243

Median = 10.1

Mode = 9.8 because it has the highest frequency of 2

6 0
4 years ago
Please help Fast! Need answer by 1:00 pm
Aleks [24]
Answer is 30

Multiply top of bottom of each fraction to get 30 on the bottom

So 2m/5•6 and 2m/6•5
3 0
3 years ago
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