Explain what a direct line segment is and describe how you would find the coordinates of point P along a directed line segment AB that partitions segment AB so that the ratio of AP to PB is 3:1

Answers

Answer 1

Answer:

  P = (A +3B)/4

Step-by-step explanation:

A "directed" line segment is one that has a "beginning" and an "end". The first letter of the line segment's name is the beginning; the last letter is the end.

Line segment AB begins at point A and ends at point B.

The problem statement tells you what it means to locate point P so the segment is divided in the ratio 3:1.

  AP : PB = 3 : 1

  (P -A) / (B -P) = 3 / 1

  P -A = 3(B -P) . . . . . . . . multiply by (B-P)

  P +3P = A +3B . . . . . . . add A+3P

  P = (A +3B)/4

You can find point P by filling in the coordinate values in the formula just found.

_____

Comment on the general case

If you derive the formula for P dividing the segment in the ratio m : n, you find it is ...

  P = (nA +mB)/(m+n) . . . length ratios are applied in reverse to the end points


Related Questions

Which of the following are solutions to the inequality below? Select all that apply.
7j > 30
j = 2
j = 8
j = 1
j = 11

Answers

Answer: j=8 and j=11

Explanation: 7(8) and 7(11) is equal to 56 and 77. 56 and 77 are both greater than 30. Therefore, the answer is j=8 and j=11.

Can someone show me how to get x for both

Answers

Answer:

So since the sum of both is 13 because it shows both of the lines connected as a length of lines.

So we add them (14+x)+(x+15) = 13

14+2x+15 = 19+2x = 13

-6=2x

x=

-3

Step-by-step explanation:

Maureen worked 48 hours last week. Her hourly rate is $8.00. How much did she earn in overtime pay?

Answers

1 hour = $8.00

48 hours = $8 x 48

48 hours = $384

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Answer: $384

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John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes. How much was the error in his estimate? Error = (Approximate value) − (Exact value) -$175 -$25 $25 $175

Answers

Answer:

The error of his estimate was $25.

Step-by-step explanation:

The error of an estimate is given by the estimated value subtracted by the real one. Since John estimated that he would spend $100 and he only spent $75 than the error of his estimate is:

[tex]\text{error} = 100 - 75\\\text{error} = 25[/tex]

The error of his estimate was $25.

Answer:

C

Step-by-step explanation:

i got itright

What whole number does: 20/5represent?

Answers

Answer:

4

Step-by-step explanation:

20/5 = 4

Answer:

4

Step-by-step explanation:

cause 20/5 is 4 meaning it represents 4

could someone please help with these three? I got a few minutes left and I'm clueless IM IN NEED OF HELP!!

Answers

Answer:

Student 1 has the correct answer

Student 2 started of OK but then divides the number of white marbles by the number of non-white marbles, which is incorrect.

Student 3 reports a probability larger than 1 which is impossible. Also the answer is not in percentages.

What is the solution to the system of equations below?
2x-y= 10 and y=-
--3x+5
(6,2)
(6,-2)
(-6, -22)
(-6,8)

Answers

(6,2) because X would equals 6 multiplied by 2 equals 12. Now minus 2 and that gives you a equilibrium of 10

simplify this expression

Answers

Answer:

option 4

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]

Given

(2 - 5[tex]\sqrt{6}[/tex] ) 3[tex]\sqrt{2}[/tex] ← distribute parenthesis by 3[tex]\sqrt{2}[/tex]

= 6[tex]\sqrt{2}[/tex] - 15[tex]\sqrt{12}[/tex]

= 6[tex]\sqrt{2}[/tex] - 15[tex]\sqrt{4(3)}[/tex]

= 6[tex]\sqrt{2}[/tex] - 15([tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] )

= 6[tex]\sqrt{2}[/tex] - 15(2[tex]\sqrt{3}[/tex] )

= 6[tex]\sqrt{2}[/tex] - 30[tex]\sqrt{3}[/tex]

I have worked the answer to a which is 301.6 but I’m not too sure how you work out b any help would be much appreciated!

Answers

Answer:

188.5 cm^2

Step-by-step explanation:

a) Your volume is correct.

b) The curved surface area of the cone is called the lateral area.

Its formula is:

LA = (pi)rs,

where pi is 3.14159...

r = radius of the base

s = slant height of the cone

Here, r = 6 cm, and s = 10 cm

LA = (3.14159)(6 cm)(10 cm)

LA = 188.5 cm^2

My question is 3x + (2− 4x)

Answers

Answer:

3x+(2-4x)

= 2 (3x+4x)

=2 (7x)

=2/7x

=7x/2

=3.5

Step-by-step explanation:=3.5

answer quickly plzzz

Answers

Answer:

Your answer of [tex]-\frac{39}{8y}[/tex] is correct

Step-by-step explanation:

We begin with the expression: [tex]-\frac{4}{y} +(-\frac{7}{8y} )[/tex]

First, we need to find a common denominator, which in this case would be 8y.

To make the first term have a denominator of 8y, we must multiply it by [tex]\frac{8}{8}[/tex]

[tex]-\frac{4}{y}(\frac{8}{8}) +(-\frac{7}{8y} )\\\\-\frac{32}{8y} +(-\frac{7}{8y} )[/tex]

Now we can add them to get our final answer.

[tex]-\frac{39}{8y}[/tex]

What is the vertex form of the parabola from daredevil dannys practice jump ?

Answers

Answer:

the vertex form of the parabola from daredevil dannys practice jump is: 47538

Step-by-step explanation:

2+2+3+4+45+65+3=47538 jump in the vertex of the jump but then there's a other always 564*56*75+4=47538

The vertex form of Daredevil Danny’s practice jump is y=-32/100(x-25)2+32

But daredevil danny sucked I got a 100 here is the link to my whole worksheet (cant have a link so its tinyurl . com / Danny - Daredevil)

fyi the link is without spaces

Evaluate 3z when z=9

Answers

Answer:

27

Step-by-step explanation:

given value of Z=9

so, 3×9=27

Answer pleaseeee ASAP

Answers

Answer:

93 square metres

Step-by-step explanation

The formula for surface area is 2ab+2ac+2bc, and with no lid one bc can be removed.

Suppose a=7 b=3 and c=3

2(7x3)+2(7x3)+(3x3)=93

If 4u-5v=23 and 2u+4v=-8, find the value of u+v

Answers

Answer:

-1

Step-by-step explanation:

4u-5v=23

-2(2u+4v=16) We multiply by -2 here to destroy u's.

4u-5v=23

-4u-8v=16 we addition both processes

-13v=39 so, v=-3

4u-5(-3)=23, 4u=8 so, u=2

u+v= -3+2= -1

what is -14x-7 idk I have tried everything

Answers

______________________________

Hey!!

Solution,

-14x-7

take the common

Answer: -7(2x+1)

Hope it helps

Good luck on your assignment

__'________________________

Answer:

i think its -2

Step-by-step explanation:

distribute and find the x

Compare and contrast the Angle Angle Similanty Postulate, the Side Side Side Similarity Theorem and the Side Angle
Side Similanty Theorem
Write about the similantes and the differences that you observe.?

Answers

Answer:

The similarities are

1) Two triangles are similar when they meet either the (Angle Angle) AA, (Side Side Side) SSS or (Side Angle Side) SAS criteria

2) When two triangles meet either of the above similarity criteria they automatically meet the other similarity criteria

3) The ratio of their equivalent sides are equal such that when ΔABC is similar to ΔDCE we have;

AB/DC = AC/DE = BC/CE

The observed differences are

1) Triangles that meet the SAS and SSS Similarity Theorem criteria can be said to be congruent, that is they have both the same side sizes and angle sizes while triangles that meet only the AA Similarity Postulate criteria may or may not be congruent

2) The number of possible triangles formed by the SAS or SSS Similarity Theorem criteria is only one while the number of possible triangles formed by the AA Similarity Postulate criteria is infinite

3) A triangle that meets either the SAS or SSS Similarity Theorem criteria also meets the AA Similarity Postulate criteria

4) A triangle that meets either the AA Similarity Postulate criteria does not necessarily meet the AA Similarity Postulate criteria.

Step-by-step explanation:

The similarity postulates are;

The Angle Angle Similarity Postulate also known as AA

The Side Side Side Similarity Theorem also known as SSS

The Side Angle Side Similarity Theorem also known as SAS

Please help me with my question!!

Answers

Answer:

B

Step-by-step explanation:

When you add two fractions with an equal denominator, you can simply add together the numerators. If it is a mixed fraction, you leave the integer alone unless the sum of the numerators is greater than the denominator, in which case you rewrite the fraction appropriately.

6/19 + 1 2/19= 1+ (6+2)/19 = 1 8/19, not 1 9/19. Therefore, the correct answer is choice B. Hope this helps!

the slope of the line below is -2. which of the following is the point-slope form of the line? 4, -8

Answers

Answer:

D

Step-by-step explanation:

Point: (4,-8)

Slope: -2

y-y1=m(x-x1)

y+8=-2(x-4)

Please Help ASAP!
Select the situations that represent a function. (A,B,C,D)

Answers

Answer:

A and B both have an input that has multiple outputs so the answer is C and D.

What is the sale price of an item that was originally $20 with a 20%
discount? *

Answers

The correct answer is 16 dollars on sale.

20$ times 0.20 is 4$
20$-4$=16$

a recipe requires 3.5 teaspoons of sugar to make a tart which equation shows the number of teaspoons of sugar , y , needed to make x tarts?​

Answers

Answer: x = 3.5y

Step-by-step explanation:

3.5 teaspoons of sugar (y) per tart (x) would look like this

You multiply 3.5 by y to equal x divided by 3.5

x = 3.5y

what is 15 minutes to 1 hour

Answers

Answer:

1:4 or 25% or 1/4

Step-by-step explanation

There are 60 minutes in an hour and 60 divided by 15 is four. So basically, 15 minutes is 1/4 of an hour, 25% of an hour, and 1:4 of an hour.

help me now asap please

Answers

Answer:

C

Step-by-step explanation:

Let's first convert both Brooke's time and Lamont's time into the same unit so that we can more easily compare them. To make it simpler, we'll convert both times into minutes.

Brooke: 1 hr 45 min

We know that there are 60 minutes in 1 hour, so we essentially have:

60 min and 45 min  ⇒  60 + 45 = 105 min

Lamont: 115 min

This is already in minutes, so we don't have to do anything to it.

We now have 105 minutes for Brooke and 115 minutes for Lamont. Let's compare:

- Since we know Brooke took 105 minutes, we can eliminate A and B.

- Clearly, 105 < 115, which means Brooke took less time that Lamont to finish the race

- If Brooke took less time, that means she's faster.

Thus, the answer is C.

~ an aesthetics lover

Answer:

Time taken by Brooke = 1h 45min

= 60min + 45min

= 105min

Time taken by Lamont = 115min

Brooke finished in 105min, so she was faster.

Option 3 is correct.

What is d, the common difference, in the arithmetic sequence 100, 98, 96, 94, 92, ...?
-1
Ο 2
Ο Ο Ο Ο.
-2
Ο 100

Answers

Answer:

-2

Step-by-step explanation:

This recipe makes 20 flapjacks. How much of each ingredient is needed to make 30 flapjacks by following this recipe? Recipe: Makes 20 flapjacks 140 g margarine 120 g sugar 100 ml syrup 240 g oats 50 g raisins

Answers

Answer: 210 grams of margarine, 180 grams of sugar, 150 millilitres of syrup, 360 grams of oats, 75 grams of raisins

Step-by-step explanation: 30 flapjacks is 1.5 more than 20 flapjacks.

140 * 1.5 = 210 grams

120 * 1.5 =  180 grams

100 * 1.5 = 150 millilitres

240 * 1.5 = 360 grams

50 * 1.5 = 75 grams

The perimeter of an isosceles triangle is 10 ¾ cm . If one of its equal side is 2 ¾ cm ,the third side IS, *

Answers

Answer:

4 cm

Step-by-step explanation:

Given is an isosceles triangle. Therefore it's two sides will have equal lengths.

Let the length remaining sides be x cm.

[tex]x + x + 2 \frac{3}{4} = 10 \frac{3}{4} \\ \\ 2x + \frac{11}{4} = \frac{43}{4} \\ \\ 2x = \frac{43}{4} - \frac{11}{4} \\ \\ 2x = \frac{32}{4} \\ \\ 2x = 8 \\ \\ x = \frac{8}{2} \\ \\ \huge \red{ \boxed{x = 4 \: cm \: }}[/tex]

Calculate the following combinations

Answers

Answer:

[tex]_3 C_2 =\frac{3}{2}[/tex]

[tex]_3 C_3[/tex] Is undefinded.

Step-by-step explanation:

Given the equations.

[tex]_3 C_2=\frac{3}{(3-2)2}[/tex]

[tex]_3 C_3 =\frac{3}{(3-3)3}[/tex]

Distribute the denominator.

[tex]_3 C_2 =\frac{3}{(6-4)}[/tex]

[tex]_3C_2 = \frac{3}{(9-9)}[/tex]

Simplify the denominator.

[tex]_3 C_2 = \frac{3}{2}[/tex]

[tex]_3 C _3 = \frac{3}{0}[/tex] this is undefined because you're not able to divide by 0.

Answer:

part 1: 3 & 1

part 2: 6

Step-by-step explanation:

edge fam sticks together lol

HELP ME FOR BRIANETEST

Answers

As indicated on the number line 1/3 is the same as 2/6 so we get

Answer: 2/6 + 5/6 = 7/6

Nearest hundredth
X2+2x+7=21

Answers

Step-by-step explanation:

subtract 21 from both sides

x2+2x+7-21=21-21

x2+2x+14=0

use quadratic equation

x=(-3+-(b^2-4ac)^1/2)/2a

in our equation a=1,b=2and c=14

(-2+-(14+56)^1/2)/2

x=-1+(60^1/2)/2

there is only one positive answer and it is 2.87

Other Questions
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