MATHEMATICS MIDDLE SCHOOL

The table represents a linear equation. Which equation correctly uses point (–2, –6) to write the equation of this line in point-slope form? y – 6 = (x – 2) y – 6 = (x – 2) y + 6 = (x + 2) y + 6 = (x + 2)

Answers

Answer 1

Answer:

Answer:

$y+6=m(x+2)$

where I would have to look at the table to know $m$ .

Step-by-step explanation:

Point-slope form of a line is

$y-y_1=m(x-x_1)$

where $m \text{ is the slope and } (x_1,y_1) \text{ is a point on that line}$

You are given $(x_1,y_1)=(-2,-6) \text{, but no value for }m$ .

So we know we are looking for an equation that looks like this:

$y-(-6)=m(x-(-2))$

If you simplify this looks like:

$y+6=m(x+2)$

Answer 2

Answer:

Answer:

Step-by-step explanation:

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anita has two sisters and three brothers. the mean of all their ages is 6 years. what will their mean age be 10 years from now?twenty years from now?

Answers

Answer:
Now: 6 yr mean age
in 10 yrs? 16 yr mean age
in 20 yrs? 26 yr mean age

Why? Because regardless of the relationship between each sibling's age, your always adding the 10yrs to each individual, which you are then dividing out to determine the mean age. See proof below:

Including anita, there are 6 people. We'll define each age as an unknown variable. Assume we know nothing about the relationships between their ages

for example sake
anita's age = a
sister 1's age = b
sister 2's age = c
brother 1's age = d
brother 2's age = e
brother 3's age = f

Now:
mean age = (a + b + c + d + e + f)/(6 people) = 6 yrs

in 10 yrs:
mean age = ((a+10) + (b+10) + (c+10) + (d+10) + (e+10) + (f+10))/(6 people)
mean age = (a + b + c + d + e + f + 60)/(6 people)
mean age = (a + b + c + d + e + f)/(6 people) + (60)/(6 people)
mean age = (a + b + c + d + e + f)/(6 people) + 10

Notice the first term is the same expression of the mean age for "Now"
Thus, in 10 yrs:
mean age = 6 + 10 = 16 yrs

The same principle applies for "x" yrs from now, as long as we know what the mean age is "Now"

Answer:

10 years from now= 16

20 years = 26

Step-by-step explanation:

Three friends share 2 sandwiches

Answers

2 sandwiches/ 3 friends= 2/3 sandwich/friend

Each friend has 2/3 of the sandwich~

A jar contains 6 red, 8 blue, one white, 7 black, and twoyellow marbles
Use this information to determine the probability of
selecting
1) a white marble
2) a red marble
3) a yellow marble
4) a purple marble
5) a black marble

Answers

Answer:

1) 1/23 2) 6/23 3) 2/23 4) 0/23 5) 7/23

Step-by-step explanation:

There are 23 marbles in total.

1) 1/23 There is 1 white marble.

2) 6/23 There are 6 red marbles.

3) 2/23 There are 2 yellow marbles.

4) 0/23 There are 0 purple marbles.

5) 7/23 There are 7 black marbles.

The four highest scores at a diving meet were 9.08, 9.1, 9.15, and 9.06 points. Which of 3 of these numbers were the lowest out of all 4 of the numbers?

Answers

From lowest to highest:
9.06, 9.08, 9.1, 9.15
3 lowest numbers are 9.06, 9.08, and 9.1

all you have to do is put them in order from least to greatest
9.06, 9.08, 9.1, 9.15
hope i helped you out in some type of way

Please answer ASAP! An explanation is a MUST REQUIREMENT in order to receive points and the Brainliest answer. Thank you.

Answers

Slope represented as a ratio of rise over run. In this case, we have a straight horizontal line. No matter how far we go along the line, there will be no rise, so the slope is a constant ratio of

$(0)/(1)$

since for every one unit you move left or right, you are moving zero units up or down.

Any fraction with a numerator of 0 equals 0, so we can simplify this to say that the slope of our line is 0.
Choice 3 is correct.
Hope that helped! =)

What is 2 and 5/12-( -2 and 1/6) ?

Express the answer in simplest form.

Answers

Find the LCD, and modify the first fraction. the new equation is: 2 5/12 - (-2 2/12). since subtracting a negative is the same as adding, you add the second fraction: 2 5/12 + 2 2/12. add the fractions, and add the whole numbers. the answer is: **4 7/12**

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