Mathematics High School

JK has endpoints (-2, 10) and K(10, -14). Point L divides JK into two parts with lengths in a
ratio of 5:1.
What are the two possible locations of L?
(5, 6)
(2, -4)
(8, -10)
(4, -2)
(2, 1)
(0,6)

Answers

Answer 1

Answer:

(8, - 10) or (0, 6)

Step-by-step explanation:

There are two options as below.

1. JL/JK = 5 : 1

Find the coordinates of L:

x = -2 + 5/6(10 - (-2)) = -2 + 10 = 8y = 10 + 5/6(-14 - 10) = 10 - 20 = - 10

The point is L(8, - 10)

2. JL/JK = 1 : 5

Find the coordinates of L:

x = -2 + 1/6(10 - (-2)) = -2 + 2 = 0y = 10 + 1/6(-14 - 10) = 10 - 4 = 6

The point is L(0, 6)

Related Questions

Your classroom received 150 books. You are placing them in bins. Each bin holds 20 books. How many bins do you need? Remainder:
Quotient:
Answer:
how many bins do I need.

what to do with remainder
do l Ignored it or Round the quotient up
then explain
THANK U!!!​

Answers

Answer:

you need 8 bins because 150/20 is 7.5 but you can't have half a bin and you need somewhere to put the other books

12. In the given figure, RS is parallel to PQ, If RS = 3 cm, PQ = 6 cm and ar(∆TRS) = 15cm³, then ar (∆TPQ) = ? (a) 70 cm² (b) 58 cm² (c) 60 cm² (d) 64 cm²​

Answers

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that,

In triangle TPQ,

RS || PQ,

RS = 3 cm,

PQ = 6 cm,

ar(∆ TRS) = 15 sq. cm

As it is given that, RS || PQ

So, it means

⇛∠TRS = ∠TPQ [ Corresponding angles ]

⇛ ∠TSR = ∠TPQ [ Corresponding angles ]

[tex]\rm\implies \: \triangle TPQ \: \sim \: \triangle TRS \: \: \: \: \: \: \{AA \}[/tex]

Now, We know

Area Ratio Theorem,

This theorem states that :- The ratio of the area of two similar triangles is equal to the ratio of the squares of corresponding sides.

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{ar( \triangle \: TRS)} = \dfrac{ {PQ}^{2} }{ {RS}^{2} } [/tex]

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{ {6}^{2} }{ {3}^{2} } [/tex]

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{36 }{9} [/tex]

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = 4 [/tex]

[tex]\rm\implies \:ar( \triangle \: TPQ) = 60 \: {cm}^{2} [/tex]

The perimeter of a rectangular field is 358 m.
If the length of the field is 96 m, what is its width?

Answers

Answer: 83 meters

Step-by-step explanation:

The perimeter of a rectangle is 2l + 2w, where l is the length and w is the width.

2(96) + 2w = 358

192 + 2w = 358

2w = 166

w = 83

Hope it helps :) and let me know if you want me to elaborate.

I need help on this question

Answers

1. >
2.<
3.>
Hope this helps

Answer:

1 is equal

2 is greater

3 is greater

Step-by-step explanation:

2^3 x 2^5 is 32, and 2^5 is 32, meaning these are equal.

2^2 x 3^2 is 36, and 6^3 is 216, meaning 6^3 is greater.

2^3 x 3^2 is 72, and 6^2 is 36, meaning that 2^3 x 3^2 is greater.

Help me with the question in the image it’s geometry

Answers

Answer:

<BAC=100°

Step-by-step explanation:

<ACB = <DCE - vertical angles are congruent

<ACB = 45° - substitute <DCE = 45° <ACB = <DCE

<ABC + <ACB + <BAC = 180° - angle sum theorem

35° + 45° + <BAC = 180° - substitute <ABC = 35°, <ACB = 45° INTO <ABC + <ACB + <BAC = 180 °

35°+ 45° + <BAC = 180°

180° - 80° = 100

Skate World offers birthday parties for a fee of $130 plus $3 per person. If you can spend no more than $190 on your party, what is the maximum number of people who can attend?
A) 20
B) 12
C) 14
D) 15

Answers

Answer:

a is the answer

Step-by-step explanation:

here

The answer is A.) 20

Please help me with this question

Answers

Answer-angle DBC is 79, Angle ABD is 31 and angle ABC is 110

Explanation-

will mark brainliest ​

Answers

Answer:

148 deger ❤❤❤❤❤❤❤❤❤❤

32 meter

What is the value of x?

Answers

give us a problem or somen

Step-by-step explanation:

Answer:

x=4, i did the other one on ur acc, sad to see these points go to waste.

Step-by-step explanation:

Callie had $24.65 to spend on groceries. After buying 6 potatoes, she had $18.95 left. If each potato costs the same amount, what is the price of one potato?

Answers

Answer:

Step-by-step explanation:

cost of 6 potatoes=24.65-18.95=5.70 $

cost of 1 potato=5.70÷9=0.95 $

PLS HELP GIVING BRAINLIEST!
Given f(x)=3x^2+x−5, find: f(−1)

Answers

Answer:

-3

Step-by-step explanation:

its very easy correct me if im wrong brainliest btw

-65 is 5 times a product of 5 and a number

Answers

Answer:

Step-by-step explanation:

=-65*5

=-325

cho tập hợp A=(2;7)và tập hợp B=[7;10]tìm tập hợp a∩B

Answers

sorry po di ko ma intindihan

Step-by-step explanation:

sorry po


If l||m, find the value of y

Answers

Answer:

Step-by-step explanation:

6x + 7 + 3x - 16 = 180    {Supplementary}

6x  + 3x + 7 - 16 = 180

9x   - 9 = 180

      9x = 180+ 9

      9x = 189

         x = 189/9

x = 21

6x + 7 = 6*21 + 7 = 126 + 7 = 133

11y - 32 = 6x + 7    {Vertically opposite angles}

11y - 32 = 133

      11y = 133 + 32

      11y = 165

y = 165/11

y= 15

how many eighths are in 1/3?

Answers

Answer:

1/3 = 2 2/3 eighths.

Step-by-step explanation:

There are 2(2/3) eights in 1/3.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Eighths = 1/8

Now,

(1/8)x = 1/3

Solve for x.

x = 1/3 x 8/1

x = 8/3

x = 2(2/3)

Thus,

There are 2(2/3) eights in 1/3.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

What is the missing side length of this right triangle? Type the answer in the box.
13 in.
5 in.
х
1

Answers

Answer:

13in

Step-by-step explanation:

remember it's the same angle width.

hELPPP pls quick thanks <3

Answers

Answer: can you show the selections?

Step-by-step explanation:

Please help me I am very confused and I can’t get it wrong!!!!

Answers

Answer:

The answer that you are looking for is b

Simplify the expression to a + bi form:
(4 – 3i) - (9 - 71)

Answers

Answer:

66-3i

Step-by-step explanation:

(4-3i)-(9-71)

(4-3i)-(-62)

(4-3i)-62

66-3i

Dilations of a triangle are congruent to the original triangle.

Answers

Answer:

origanal

Step-by-step explanation:

origanaol

Find m Give explanation please

Answers

Answer: The measurement of ∠EFG is equal to 70°.

Step-by-step explanation:

Two interior angles who are always opposite to an exterior angle sums to that exterior angle. So we would start as the following:

(6x - 10) + 38 = 7x + 18

In order to find m∠EFG, we must first isolate x. In order to do that, we first add like terms together on both sides.

(6x - 10) + 38 = 7x + 18

6x + 28 = 7x + 18

We then substract 18 on both sides.

6x + 10 = 7x

We finally substract 6x from both sides in order to have the value of x.

x = 10

Now that we know the value of x, we substitute it in our the equation in order to find m∠EFG.

m∠EFG = 6x + 10

m∠EFG = 6(10) + 10

m∠EFG = 60 + 10

m∠EFG = 70

Answer:

50°

Step-by-step explanation:

( 7x + 18 )° = ( 6x - 10 )° + 38°

7x + 18 = 6x - 10 + 38

7x - 6x = 28 - 18

x = 10

m∠EFG = 6(10) - 10

m∠EFG = 50°

Please help, I’ll mark your answer as brainliest!

Answers

Answer:

1,234 thats the answer

PLS HELP ASAP WILL MARK BRAINLEIST

Answers

Answer:

a^8

I hope this is the correct answer

have a great day

Answer:

a³

Step-by-step explanation:

(a².a³.(a-¹)²)

a²+³.a-¹×2

a⁵.a-²

a⁵+(-²)

a⁵-²

a³

okay now i rlly need this done man

Answers

Answer:

x=9.5

EDIT: Its actually x=6

Step-by-step explanation:

Brainliest?PLEASE?

Answer:

4

8

+

2

{\color{#c92786}{\frac{4x}{8}}}+2

84x​+2

2

+

2

Step-by-step explanation: please mark brainliest

Melinda put 64 pieces of cake on a table. She placed them in 8 rows with the same number in each row. Each row had an equal number of two flavors of cake. How many pieces of each flavor were in one row?

( ugh math)

Answers

Answer:

There were 4 pieces

Step-by-step explanation:

answer the equation please <33

Answers

Answer: Total cost = 4m

Step-by-step explanation:

Each meal is $4, so the total would be the number of meals times $4/meal: Total = 4m

Answer:

dₙ = (m-1)*4

Step-by-step explanation:

d1: initial dollar   d1=0

dₙ = (m-1)*4

d₁ = (1-1)*4 = 0

d₂ = (2-1)*4 = 4

d₃ = (3-1)*4 = 8

6.5 x 1/9 please help

Answers

Answer:

13/18

Step-by-step explanation:

6.5 · 1/9 = 6 5/10 · 1/96 5/10 · 1/9 = 6 1/2 · 1/96 1/2 · 1/9 = 13/2 · 1/913/2 · 1/9 = 13/18

Therefore, 6.5 · 1/9 = 13/18.

One number is 13 more than another number. Their sum is 27. Find the two numbers.
Enter your answer as a list of numbers separated by a comma: a,b

Answers

Add 14 and 13+14=27...ans

Savannah divided 1/2 of a liter of plant fertilizer evenly among some smaller bottles. She put 1/4 of a liter into each bottle. How many smaller bottles did Savannah fill?

Answers

Answer:

2

Step-by-step explanation:

find how many fourths are in a half:

1/2 = 2/4

if there's 2/4 in a half, then she filled two bottles

have a wonderful day :)

×/2=y/3; y/4=z/4 và x+2y-z=10

Answers

Can you make it clear?
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