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3 years ago

What is the midpoint of the line segment graphed below?

Mathematics

1 answer:

FinnZ [79.3K]3 years ago

3 0

Answer:

(3.5, -4.5) or option D

Step-by-step explanation:

x) (6 + 1) / 2 = 3.5

y) (-1 + (-8)) / 2 = -4.5

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The amount of time it takes p people to paint d doors varies directly with the number of doors and inversely with the number of

yanalaym [24]

Answer:

4 people

Step-by-step explanation:

This problem is a compound rule of three problem. The variables are:

number of people, number of doors, amount of time

the amount of time increases if the number of doors decreases, but the amount of time decreases if the number of people increases.

We can solve this problem by parts (using two simple rule of three):

4 people can paint 10 doors in 2 hours

Let's first find how many people would take to paint 25 doors in 2 hours (we make the amount of hours constant, so the rule of three is between number of people and number of doors):

4 people -> 10 doors -> 2 hours

X people -> 25 doors -> 2 hours

4/X = 10/25

X = 25*4/10 = 100/10 = 10

It would take 10 people to paint 25 doors in 2 hours.

Now, we make a inverse rule of three between the number of people and amount of time:

10 people paint 25 doors in 2 hours, how many people paint 25 doors in 5 hours:

10 people -> 25 doors -> 2 hours

X people -> 25 doors -> 5 hours

10*2 = X*5

X = 20/5 = 4 people

4 0

3 years ago

A loan officer earns a salary of $22,500 and 0.4% commission on total sales. He also gets a service fee of $1.75 on every loan p

telo118 [61]

Answer:

$231,228.00

Step-by-step explanation:

100,000 * 52 = 520,000

520,000 * 0.4 = 208,000

8 * 52 = 416

416 * 1.75 = 728

208,000

+ 22,500

+ 728

___________

$231,228.00

7 0

3 years ago

I am studying for a discrete math final and I do not understand the provided solution. Specifically, how to rationalize "C(12,10

vovangra [49]

Answer:

Step-by-step explanation:

Given is an equation in three variables

$x_1+x_2+x_3 =10$ where the three variables are non negative integers.

Since sum =10, and each integer has minimum value 1, we find that each variable can take values as 1,2,...8 only

If first variable is 1, the other two can be 1,8 or 2,7 or... 8,1 ... 8 ways

If first variable is 2, ... the other two can be 1,7 or 2,6 or..7,1 ... 7 ways

This will go up to first variable =8

Thus we have total number of solutions as

$8+7+6+5+...+1\\=36$

Thus possible solutions are 36

5 0

4 years ago

If BC = 26, AC = 30, and AB = 30, find the perimeter of △AED.

dalvyx [7]

176
Since you didn't bother to include a diagram of the triangle, I am going to make some assumptions. You need to actually verify that the assumptions are correct and if they are, then this answer is correct. Otherwise if the assumptions are not correct, you're on your own.
Assumption.Points B and C are midpoints of line segments AE and AD. The reason for this assumption is because if points B and C didn't lie on the sides of triangle AED, you would gain no useful information about triangle AED from the lengths provided. Additionally, if those points were not midpoints, you wouldn't gain any information about the lengths of the sides of triangle AED expect that those sides were longer than the lengths of the sides specified.
Once again. VERIFY that points B and C are midpoints of line segments AE and AD.
Now for the solution:Since triangle AED is similar to triangle ABC, that means that the ratio of the lengths of the sides is constant. And since B & C are midpoints of their respective sides, the perimeter of triangle AED is twice the perimeter of triangle ABC. And the perimeter of triangle ABC is 26 + 30 + 30 = 86. So the perimeter of triangle AED is 86 * 2 = 176

8 0

4 years ago

Find the perimeter of the equilateral triangle 3x² + 5x + 12

kherson [118]

Answer:

Perimeter is 9x² + 15x + 36

Step-by-step explanation:

${ \tt{perimeter = s \times s \times s}} \\ { \tt{p = 3s}}$

p is the perimeter
s is side

${ \tt{p = 3(3 {x}^{2} + 5x + 12) }} \\ { \boxed{ \tt{ \blue{p = 9 {x}^{2} + 15x + 36 \: }}}}$

5 0

2 years ago