MATHEMATICS MIDDLE SCHOOL

A line with a slope of 1 passes through the point (3,-8). What is it's equation in slope-intercept form?

Answers

Answer 1

Answer:

Answer:

Given:

Slope(m)= 1

Passing Point = (3,-8)

Using one point formula,

y-y1 = m(x-x1)

or, y+8 = 1×(x-3)

or, y+8 = x - 3

or, x - y = 11

Now,

Dividing both sides by 11, we get

x/11 - y/11 = 1 --------i)

Comparing eqn. i) with slope intercept form [x/a + y/b = 1]

Answer 2

Answer:

Answer: The equation would be y=1x-11

Step-by-step explanation:

slope of this line is 1

y=1x

3 times 1 = 3

to get from 3 to -8 we subtract 11

y=1x-11

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Julie packed 18 DVDs in each of 4 boxes. She packed 15 DVDs in each of 5 boxes. She has 8 DVDs left over. How many DVDs does Julie have?

Answers

18 DVD in 4 box is 72 DVD
15 DVD in 5 box is 75 DVD
the DVD left over 8
the total DVD is 155

Final answer:

Julie has a total of 155 DVDs, which include DVDs packed in different boxes and DVDs that are left over. This is acquired by adding the product of the number of DVDs per box the number of boxes for two different types of boxes, and the DVD left over.

Explanation:

In order to calculate the total number of DVDs Julie has, we would have to multiply the number of DVDs in each box by the number of boxes and add the DVDs that have not yet been packed.

To start, Julie packed 18 DVDs in each of the 4 boxes, which equals 18*4 = 72 DVDs.

Then, she packed 15 DVDs in each of the 5 boxes, which equals 15*5 = 75 DVDs.

Finally, she has 8 DVDs left over.

By adding all these up, we find out that Julie has a total of 72 + 75 + 8 = 155 DVDs.

Learn more about Multiplication and Addition here:

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What is the decomposition of 15?

Answers

if you want the factors or 'what times what equals this number'

so 15=5 times 3

15=5x3 is answer 5 et 3 is number prim

Write 5/30 in lowest terms

Answers

5/30 in lowest terms is 1/6

You have to find the lowest common factor of 5 and 30. It is 5.

5 / 5 = 1
30 / 5 = 6

5/30 = 1/6

Duffy was analyzing the trajectory made after throwing a football. his coach was able to measure that his throw reached a maximum height of 18 feet after 2 seconds. he figured that the ball left his hand at a height of 5 feet. Let the independent variable represent time and the dependant variable represent height of the ball. Use this information to write an equation to model the path of the ball and predict when the ball will hit the ground the ball will hit the ground at approximately ________ seconds

Answers

Answer:

4.35 seconds.

Step-by-step explanation:

Let x represent the time the independent variable and y be dependent variable (height of the ball).

We are told that Duffy figured that the ball left his hand at a height of 5 feet. This means at x equals 0, y was 5 or initial height of ball is 5 feet.

We have been given that Duffy's coach measured that his throw reached a maximum height of 18 feet after 2 seconds. This means that at x equals 2 y was 18.

As point (2,18) represents maximum height of ball, so it will be vertex of parabola.

Since initial height of ball is less than maximum height, so our parabola will be downward opening and leading coefficient will be negative.

We know that vertex form of a downward opening parabola is in form: $y=-a(x-h)^2+k$