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2 years ago

Explain how you use a quick picture to find the quotient and remainder

1 answer:

6 0

Well you need to make an example question.
So lets say...There are 40 students in math class. The teacher needs to split the group up into equal sets of 5. How many groups can be made? How many students are left over?
From there you can tell that you need to make groups of 5 to get your quotient which in our case is 8 leaving us with no remainder. However if you were to make that 41 students then you would have a remainder of 1 because whatever is not in your group is your remainder.

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4. Given directed line segment CD, if point E divides CD three-fourths of the way from C to D, find the coordinates of E, then p

cricket20 [7]

Answer:

Point E is given by $\left ( \frac{3mx_1+4x_0}{7},\frac{3y_1+4y_0}{7} \right )$

Step-by-step explanation:

Let points C and D be $(x_0,y_0),\,(x_1,y_1)$ and let point E divides it in ratio $m:n$ .

Then coordinates of point E are given by $\left ( \frac{mx_1+nx_0}{m+n},\frac{my_1+ny_0}{m+n} \right )$

Put $m:n=3:4$

Point E is given by $\left ( \frac{3mx_1+4x_0}{3+4},\frac{3y_1+4y_0}{3+4} \right )=\left ( \frac{3mx_1+4x_0}{7},\frac{3y_1+4y_0}{7} \right )$

Now plot point E.

Download pptx

3 0

2 years ago

A line passes through the points (p, a) and (p, –a) where p and a are real numbers and p ≠ 0. Describe each of the following. Ex

MissTica

Answer:

Part A) The slope is undefined

Part B) The equation of the line is $x=p$

Part C) None y-intercept

Part D) The slope of a line perpendicular to the given line is equal to zero

Step-by-step explanation:

we have that

Describe

A) slope of the line

B) equation of the line

C) y-intercept

D) slope of a line perpendicular to the given line

Part A) slope of the line

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

$(p,a)\ (p,-a)$

Substitute the values

$m=\frac{-a-a}{p-p}$

$m=\frac{-2a}{0}$ -----> the slope is undefined

Its a vertical line (parallel to the y-axis)

Part B) Equation of the line

we know that

The equation of a vertical line is equal to the x-coordinate of the points through which the line passes.

$x=p$

Part C) The y-intercept

The y-intercept is the value of y when the value of x is equal to zero

The vertical line not intercept the y-axis

None y-intercept

Part D) slope of a line perpendicular to the given line

A line perpendicular to the given line is a horizontal line (parallel to the x-axis)

therefore

The slope is equal to zero

6 0

2 years ago

Explain which method you used for solving the system of equations in which x represents the number of bottles of water sold and

bogdanovich [222]

Answer: Sample Response :Use the linear combination method.

Multiply the first equation by –2 to create opposite terms for x.

Multiply the first equation by –4 to create opposite terms for y.

Add the system of equations to eliminate a variable.

Step-by-step explanation:

9 0

2 years ago

Read 2 more answers

Noel Devine bought a new dishwasher for $320. He paid 20 down and made 10 monthly payments of $34 what actual yearly interest ra

Nookie1986 [14]

IN finding the interest we need to use the following formula:
Interest= Principal x Rate x Time or I= PRT
Substitute values: I= [$20 + ($10 x $34)] -320 =$40
P= $320
R=?
T=10 months/year
I=PRT
Since R is a missing term, we will solve for R using this formula: R=I/PT
R= [$20 + ($10 x $34)-320] / ($320 x 10 months)
T=10 months÷12 months=0.83
R= ($40)/ $320 X 0.83
R= 40/ 265.6
R=15.06024096

3 0

2 years ago

Read 2 more answers

Serena is single. She purchased her principal residence three years ago. She lived in the home until she sold it at a $300,000 g

Lesechka [4]

Answer: Long -term capital gain

Step-by-step explanation:

Serena is single, so based on the Taxpayer Relief Act of 1997, she would pay no capital gains tax on the first $250,000 gain.

Therefore, $300,000 - $250,000 = $50,000

The remaining $50,000 gain is taxable because of her being single and it has been her principal residence for three years.

7 0

2 years ago