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

The U.S. population in 1910 was 92 million people. In 1990, the population was 280 million. This could either be a linear or exponential model. You will create both and then look at the true population increase and decide which model is closer the the true growth.

The actual U.S. population data (in millions) was:

Which model provides a better forecast for the U.S. population for the year 2030, linear or exponential or neither?

Question 5 options:

Linear model


Exponential model


Neither

Answers

Answer:

The linear model means that there is a uniform increase and in this case of US population from  92  million people in  1910  to  250  million people in  1990 .  

This means an increase of  250 − 92 = 158  million in  1990 -1910 = 80  years or   158 80 = 1.975  million per year and in  x  years it will become   92 + 1.975 x  million people. This can be graphed using the linear function  1.975 ( x − 1910 ) + 92 ,

graph{1.975(x-1910)+92 [1890, 2000, 85, 260]}

The exponential model means that there is a uniform proportional increase i.e. say  p %  every year and in this case of US population from  92  million people in  1910  to  250  million people in  1990 .  

This means an increase of  250 − 92 = 158  million in  1990 − 1910 = 80  years or  

p %  given by  92 ( 1 + p ) 80 = 250  which gives us  ( 1 +p ) 80 = 250 92  which simplifies to  p = ( 250 92 ) 0.0125 − 1 = 0.0125743  or  1.25743 % .  

This can be graphed as an exponential function  92 × 1.0125743 ( x − 1910 ) , which gives population in a year  y  and this appears as graph{92(1.0125743^(x-1910)) [1900, 2000, 85, 260]}

Step-by-step explanation:

Hope this helps

Autumn spent a third of her weekly allowance on a shirt she liked. In order to earn more money her parents allowed her to mow the grass for $20. What is her weekly allowance if she ended with $31

Answers

:11
Your welcome have a good day

hot pizza have a discount offering 20% discount on all its pizzas
the pizza is reduced to £5.60 what is the original price of the pizza?

Answers

The answer would be 7

1 pts
Graph the linear function y +8 = 2(x + 2)
-8
4
8
o
IA
2,8)
(014)

Answers

Answer: In the picture

please give me a brainliest answer

can anybody help me with this?

Use this graph of f to find the solutions to f(x) = 0.

Answers

Another way to say f(x) is y, so y=0 at -2 and 10. :)

solve the system using the elimination method.
3x - 7y = -18
4x - 2y = -24

Answers

3x-7y=-18
4x-2y=-24
——————
12x-28y=-72
12x-6y=-72
——————-
12x-28y=-72
-12x+6y=72
——————-
-23y=0
y=0
——————-
3x-0=-18
3x=-18
x=-6
——————-
COORDINATES: (-6, 0)

i need serious help guys!!!!!!

Answers

Answer:

b.

Step-by-step explanation:

please help me ill give brainliest plz give me a simple answer​

Answers

Answer:

this is just trial and error. Answer is 3

(a) What additional information is needed to prove the triangles are congruent by ASA Postulate? Explain.
(b) What additional information is needed to prove the triangles are congruent by the HL Theorem? Explain.

Answers

Answer:

A)

The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

B)

H-L (Hypotenuse-Leg) Congruence Theorem. If the hypotenuse and leg in one right triangle are congruent to the hypotenuse and leg in another right triangle, then the two triangles are congruent.

Hope this helped

find the decimal equivalent of ¾ ounce to the thousandths place

Answers

0.75

Explanation:

Every 1/4 is 25. If you want to calculate them, then you're going to need 1/4 to find 25. In some other cases, 25, can also be written as another decimal. Such as, 4/100.

100/4 is 25. For example:

Woah! You have 3/4 of a dollar. You're really saving up money fast!

This example means that the person has 75 cents.

For an ounce, that would mean 0.04 pounds.

What’s the answer to this question?

Answers

Answer:

x should equal 0

Step-by-step explanation:

The perimeter of the rectangle below is 65 inches.
a. What is the value of x?
b. What are the dimensions of the rectangle?

Answers

Answer:

A :-) Given -

perimeter = 65 inches

Side ‘a’ = 2x

Side ‘b’ = 3 1 by 4x + 1

Solution -

Perimeter = 65

= a + b = 65

= 2x + 3 1 by 4x + 1 = 65

( 3 1 by 4 = 4 x 3 + 1 = 12 + 1 by 4

= 13 by 4 )

= 2x + 13 by 4x + 1 = 65

= 2x + 13 by 4x = 65 - 1

= 2x + 13 by 4x = 64

= 15 by 4 x = 64

= x = 64 x 4 by 15

= x = 256 by 15

= x = 17.06

.:. The value of x = 17.06.

Find f(0), f(3), and f(5) for the following function: f(x) = 3x + 1
f(0) =
f(3) =
f(5) =

Answers

Answer:

1, 10, 16

Step-by-step explanation:

Substitute the given values of x into f(x)

f(0) = 3(0) + 1 = 0 + 1 = 1

f(3) = 3(3) + 1 = 9 + 1 = 10

f(5) = 3(5) + 1 = 15 + 1 = 16

Determine the cost per pound:
313 pounds of apples for $10.50

Answers

Answer:

3 cents

Step-by-step explanation:

Divide the cost by total pounds. 10.5 divided by 313 is 0.03.

If x2 = 30. what is the value of x? ​

Answers

Answer:

5.4772255750516 that's if it is x squared

v = u + wz, make z the subject​

Answers

V= u + wz
v - u = wz
v - u/w = z
Your answer is
z = v-u/w

rewrite the fraction 1/6 as a division expression with the same numbers.

Answers

Answer:

1 ÷ 6

Step-by-step explanation:

1/6 is the same as 1 ÷ 6

In the same way, 2/3 would be 2 ÷ 3

Hope this helps!

Helppppp pleaseeee I will mark brainliest

Answers

The answer is 25 square feet

x^3+10x^2+19x-30/x+6

Answers

Answer:

make it an equation

Step-by-step explanation:

It's not an equation.

help me im having trouble on slopes

Answers

Answer:

The slope-intercept form of an equation looks like this: y=mx+b

The m stands for the slope and the b stands for the y-intercept.

We need two points from the line to write out this equation.

For example (-2,0) and (1,2)

Now that we have the slope, we can plug it into our equation: y= 2/3x + b

To get b, our y-intercept, we just need to plug in one of the points found and solve. For example (-2,0)

Now that we have both our m and b values, we can plug them in to get our equation: y=2/3x + 4/3

Step-by-step explanation:

[tex]m= \frac{y1-y2}{x1-x2} = \frac{0-2}{-2-1}[/tex]

[tex]m=\frac{-2}{-3} = \frac{2}{3}[/tex]

[tex]0=\frac{2}{3}(-2)+b[/tex]

[tex]0=-\frac{4}{3}+b\\ 0+\frac{4}{3}=-\frac{4}{3}+\frac{4}{3}+b\\ 0+\frac{4}{3}=b\\ \frac{0*3}{3}+\frac{4}{3}=b\\ \frac{4}{3}=b[/tex]

If a hole is 7 feet deep and 4 feet wide how much dirt is in the hole?

Answers

Answer:

3 is the correct answer tbyvcrdgevzc

Please help me with this question

Answers

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

Explanation-

I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D

Answers

Answer:

52.5

Step-by-step explanation:

Just subtract 65-12 which is 53. Take away 0.5 to get 53.5

Answer:

The sunflower was 52.9 inches when the gardner last measured.

Step-by-step explanation:

a) x + 12.1 = 65 in.

b) To solve this problem, use inverse operations to find x variable. Since this problem has addition, we will have to use subtraction. 65 - 12.1 = 52.9. So, 52.9 would be your answer.

-kiniwih426

A drill press operator requires 1 2/3 minutes to drill through 1 inch of steel. How long will it take him to drill through four-fifths inch of the same steel?

Answers

Answer: It will take him 1.3

Step-by-step explanation:

1 2/3 divided by 5 is 0.333

0.333 times 4 is 1.3

Is (10^-2)3 = (10^-3)2 the same?​

Answers

Answer:

i think it is same let me know

PLS HELP WILL MARK BRAINLIEST, NO FAKE ANSWERS OR WILL BE REPORTED.

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choice is ~

A. [tex]-{x}^{2}+x+3[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

The solution is in attachment ~

If f(x) = 2x^2 - 3 and g(x) = x + 1, find g(f(x)).

Group of answer choices

2x^2 - 2

2(x+1)^2 - 3

2x^2 + 2

2x^3 + 2x^2 - 3x - 3

Answers

Answer:

g(

x

2

3

)

=

2

x

2

7

Step-by-step explanation:

brainliest

pls help me i don’t get this at all

Answers

Step-by-step explanation:

oh, come on ! you don't understand what ordered pairs or point coordinates stands for ?

it is simple, the first number is the x value, and the second number is the y value.

so, all we need to do here is to take every pair, put their values in the places of x and y in the inequality, and see if it is true with these specific values or not.

if yes, then that pair is a solution.

(6, -33)

-33 >= -8×6 +7

-33 >= -48 + 7

-33 >= -41 true, -33 is indeed bigger than -41

in the same way as -1 is bigger than -2.

(-1, 12)

12 >= -8×-1 + 7

12 >= 8 + 7

12 >= 15 false

(8, -65)

-65 >= -8×8 + 7

-65 >= -64 + 7

-65 >= -57 false

(2, -1)

-1 >= -8×2 + 7

-1 >= -16 + 7

-1 >= -9 true, -1 is bigger than -9

(-6, 47)

47 >= -8×-6 + 7

47 >= 48 + 7

47 >= 55 false

A table of values for a linear function is shown below. What is the slope of the line represented by the values in the table?

Answers

The answer is M=15/12

A beach volleyball court is 9 meters wide and 18 meters long. The rope used
for the boundary line costs $1.58 per meter. How much would it cost to buy a
new boundary line for the court?

Answers

Answer:

$85.32

Step-by-step explanation:

The boundary is the perimeter of the rectangle of 9 m x 18 m:

P = 2(9 + 18) = 54 m

Cost of the boundary line:

54*$1.58 = $85.32
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