The location of point J is (-5,4). The location of point M is (10,-1). Find the location of points K and L. Point K is 2/5 of the way from J to M and point L is 4/5 of the way from J to M

Answers

Answer 1

Answer:

The location of point K is (1 , 2)

The location of point L is (7 , 0)

Step-by-step explanation:

* Lets revise how to find the location of a point between two points

- If point (x , y) is between two points (x1 , y1) , (x2 , y2) at a ratio

 m1 from (x1 , y1) and m2 from (x2 , y2)

∴ x = [x1(m2) + x2(m1)]/(m1 + m2)

∴ y = [y1(m2) + y2(m1)]/(m1 + m2)

* Now lets solve the problem

- Point J is (-5 , 4) and point M is (10 , -1)

∵ Point K is 2/5 of JM

∴ m1 = 2 ⇒ ratio from K to J

∴ m2 = 5 - 2 = 3 ⇒ ratio from K to M

∴ x = [(-5)(3) + (10)(2)]/(2 + 3) = [-15 + 20]/5 = 5/5 = 1

∴ y = [(4)(3) + (-1)(2)]/(2 + 3) = [12 + -2]/5 = 10/5 = 2

* The location of point K is (1 , 2)

∵ Point L is 4/5 of JM

∴ m1 = 4 ⇒ ratio from K to J

∴ m2 = 5 - 4 = 1 ⇒ ratio from K to M

∴ x = [(-5)(1) + (10)(4)]/(2 + 3) = [-5 + 40]/5 = 35/5 = 7

∴ y = [(4)(1) + (-1)(4)]/(2 + 3) = [4 + -4]/5 = 0/5 = 0

* The location of point L is (7 , 0)


Related Questions

Max's T-shirt business uses the demand function P = -Q + 28 and the supply function P = Q - 12. According to these functions, what will the equilibrium point be for Max's T-shirt business?

A. (20,8)
B. (12,28)
C. (8,20)
D. (28,12)

Answers

A and c —————- Bc 20 +8 is 28

Answer:

The answer is (8,20) on APEX. just did the test. good luck!

The coordinates of Trapezoid EFGH are E(8, 8), F(8,10), G(1, 6), and H(4, 1). The image of EFGH under dilation is E’F’G’H’. If the coordinates of vertex E’ are (4, 4), what are the coordinates of vertex F’? A)(2, 6) B)(4, 6) C)(2, 5) D)(4, 5)

Answers

Answer:

D) (4,5)

Step-by-step explanation:

Vertex E was dilated by 1/2 because 8/2 = 4. Thus, you will divide all the other coordinates by the same scale factor.

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Use the probability distribution graph to answer the question.

P(X ≤ a) = 0.6

What is the value of a?

Answers

Answer:

a = 5.

Step-by-step explanation:

The graph here is a probability density graph. What will represent [tex]P(X\le a)[/tex] on the graph?

[tex]P(X\le a)[/tex] is the area

between the graph and the x-axis, to the left of [tex]a[/tex].

The area under the graph between 0 and 9 is a trapezoid. Consider the trapezoid in three slices from left to right:

A right triangle of area [tex]\displaystyle \frac{1}{2}\times 0.2\times 4 = 0.4[/tex],A rectangle of area [tex]0.2 \times (5 - 4) = 0.2[/tex], andAnother right triangle of area [tex]\displaystyle \frac{1}{2} \times 0.2 \times (9 - 5) = 0.4[/tex].

The area of the leftmost triangle plus that of the rectangle is exactly 0.6. In other words, the area to the left of [tex]a = 5[/tex] between the graph and the x-axis is [tex]0.6[/tex]. [tex]P(X \le 5) = 0.6[/tex]. [tex]a = 5[/tex].

As a side note [tex]a = 5[/tex] shall be the only answer to this question since the area under the graph to the left of [tex]a[/tex] can only increase or stay constant but not decrease as the value of [tex]a[/tex] increases.

The period of this function is





π/8

π/4

π/2

Answers

I’m not quite sure what the function is but if it’s sine the period is pi/8

ANSWER

The period is

[tex] \frac{\pi}{8} [/tex]

EXPLANATION

The given function completes four cycles on the interval

[tex]

[ - \frac{\pi}{4} , \frac{\pi}{4} ][/tex]

Therefore the period is

[tex] = \frac{ \frac{\pi}{4} - \frac{\pi}{4} }{4} [/tex]

Simplify the numerator:

[tex] = \frac{ \frac{\pi}{2}}{4} [/tex]

Simplify further to get:

[tex]= \frac{\pi}{8} [/tex]

1. x/5 = 10 *

2. x + 2 = 15 *

3. 5x = 40 *

4. 2y = 44 *

5. r - 15 = 30 *

Answers

Answer:

Step-by-step explanation:

1)  x/5 = 10

multiply by 5 : x = 50

2)  x + 2 = 15

add -2 :  x = 13  

3)  5x = 40  

divid by 5  :  x =8

4)  2y = 44

divid by 2 : y = 22

5. r - 15 = 30

add 15 ;  5r =45

divid by 5 :  r = 9


Determine the area of a sector with a central angle of 90° and a radius of 10 meters.



A. 25 meters2
B. 90π meters2
C. 100π meters2
D. 25π meters2


Answers

Area of circle

= 90/360 x π x (10)^2

= 1/4 π x 100

= 25 π meter^2

Final answer:

The area of a sector with a central angle of 90° and a radius of 10 meters is calculated using the formula A = θ/360 × πr². Substituting the given values, the area is found to be 25π m². The correct answer is D. 25π meters².

Explanation:

Finding the Area of a Sector

To find the area of a sector with a central angle of 90° in a circle with a radius of 10 meters, we use the formula for the area of a sector, which is A = θ/360 × πr², where θ is the central angle in degrees, π is the mathematical constant approximately equal to 3.14159, and r is the radius. Since the central angle θ is 90°, and the radius r is 10 meters, we have:

A = 90°/360° × π × (10 m)²
= 0.25 × π × 100 m²
= 25π m².

Therefore, the correct answer is D. 25π meters².

Need help
Choices
4
3
2
1

Answers

Answer:

1

Step-by-step explanation:

The amplitude is the maximum distance away from the middle of the wave. Here we can see that the middle of the wave is the x axis and the farthest point (largest difference between the y coordinate of the x-axis, or the line y = 0, and the wave) is 1 unit away.

Answer:

1

Step-by-step explanation:

At the start of an experiment, the temperature of a solution was -12°C. During the expirament

Answers

Answer:

The final temperature of the solution was 5°C

Step-by-step explanation:

we know that

1) At the start of an experiment, the temperature of a solution was -12°C

In this moment the temperature is -12°C

2) During the experiment, the temperature of the solution rose 5°C each hour during 4 hours

so

5°C*4=20°C

In this moment the temperature is -12°C+20°C=8°C

3) The temperature changed by -3°C

In this moment the temperature is 8°C-3°C=5°C

Answer:

The final temperature of the solution was 5°C

Step-by-step explanation:

Fins the zeros, multiplicity, and effect on the graph of the function in
f(x) = -x (3x-2)^2(x+9)^5
and
f(x) = x^3+10x^2+25x

Answers

Answer:

See explanation

Step-by-step explanation:

Zeroe of the function is such velue of x at which f(x)=0.

1. Consider the function [tex]f(x)=-x(3x-2)^2 (x+9)^5.[/tex]  

Zeros are:

[tex]-x(3x-2)^2(x+9)^5=0\\ \\x=0\text{ or }x=\dfrac{2}{3}\text{ or }x=-9.[/tex]

Zero [tex]x=0[/tex] has multiplicity of 1, zero [tex]x=\dfrac{2}{3}[/tex] has multiplicity of 2, zero [tex]x=-9[/tex] has multiplicity of 5.

At [tex]x=0[/tex] or [tex]x=-9[/tex] the graph of the function crosses the x-axis, at [tex]x=\dfrac{2}{3}[/tex] the graph of the function touches the x-axis.

2. Consider the function [tex]f(x)=x^3+10x^2+25x=x(x^2+10x+25)=x(x+5)^2.[/tex]  

Zeros are:

[tex]x(x+5)^2=0\\ \\x=0\text{ or }x=-5.[/tex]

Zero [tex]x=0[/tex] has multiplicity of 1, zero [tex]x=-5[/tex] has multiplicity of 2.

At [tex]x=0[/tex] the graph of the function crosses the x-axis, at [tex]x=-5[/tex] the graph of the function touches the x-axis.

Helpppppppppppppppppp?????

Answers

The 3rd one. The number of 8 ounce glasses of milk in 1 gallon. If you read all the options carefully you can see that there’s no way that the other options could be “normally” distributed. The only on that could be “normal” is the 3rd one. Hope I helped!

HELP PLEASE!!! I WILL FIVE STAR!!

Answers

Answer:

Step-by-step explanation:

You can't answer c. There is not enough information.  Other than there are 14 boys that went, you know nothing about how many went.

Girls going = (3/5) * 20 = 12

Girls not going = 20 - 12 = 8

What is the slope of the line?


1
-1
-1/3
1/3

Answers

Answer

m = 1

Explanation

Simple Method: Rise (go up) over Run (go left or right)

Start from a perfect point then rise and run.

Rise: 3, Run: 3 = 3/3 = 1

Alternatively, you could pick two points and use the formula y2 - y1/x2 - x1

Just as an example, I will choose (-2, -3) and (2, 1)

plug in:

1 + 3/2 + 2 = 4/4 = 1

ANSWER

1

EXPLANATION

The slope of the given line is obtained using the formula:

[tex]m = \frac{rise}{run} [/tex]

From the diagram the rise is 2 units and the run is 2 units.

This implies that,

[tex]m = \frac{2}{2} = 1[/tex]

Hence the slope of the given line is 1.

Though it is true I enjoy your writing style, I don't agree with your main point of view about this one. I do delight in your website nevertheless. Gedefkkfdefd

Answers

Answer:

34.

Step-by-step explanation:

To angle are supplementary. Measure of one angle is 56 degrees, what is the measure of the second angle

Answers

Answer:

  124°

Step-by-step explanation:

Supplementary angles add to 180°.

  56° + second angle = 180°

Subtract 56° from both sides of the equation:

  second angle = 180° - 56° = 124°

6 / 2 (1 + 2) = 9
PLEASE EXPLAIN HOW IT IS 9!!! I followed PEMDAS, and I keep getting 1

Answers

Answer:

9

Step-by-step explanation:

6 / 2 (1 + 2) = 9

PEMDAS

Parentheses first

1+2 =3

Substitute this in

6 / 2 (3) = 9

Multiplication and Division from left to right

Division first

6/2 =3

Substitute this in for 6/2

3 (3) =9

3*3 =9

Please help me with this

Answers

Answer:

8.4

Step-by-step explanation:

hope it helped

Please help me with this pleaseee

Answers

Answer:

x = 88.2

Step-by-step explanation:

The angle at the top of the triangle = 90° - 10° = 80°

and the left side of the triangle is x ( opposite sides of a rectangle )

Using the tangent ratio in the right triangle

tan80° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{500}{x}[/tex]

Multiply both sides by x

x × tan80° = 500 ( divide both sides by tan80° )

x = [tex]\frac{500}{tan80}[/tex] ≈ 88.2

2.04 miles
2.5 miles
2.22 miles
2.94 miles

Answers

Answer:

[tex]h=2.04\ miles[/tex]

Step-by-step explanation:

Let

h-----> the high of the balloon

we know that

In the right triangle of the figure

[tex]tan(63\°)=\frac{4}{h}[/tex]

[tex]h=\frac{4}{tan(63\°)}[/tex]

[tex]h=2.04\ miles[/tex]

Write an algebraic expression to represent the following verbal expression. the cube of the difference of a number and 43

Answers

Answer:

(n - 43)³

Step-by-step explanation:

Let the number be n.

Then the desired expression is (n - 43)³

Answer:

Algebraic expression = (x-43)^3

Step-by-step explanation:

Given , the verbal expression is the cube of the difference of a number and 43.

Let x be the number

Now, according to question

Difference means subtraction  in which a number is subtracted from the other number

Difference of a number and 43

It means 43 is subtracted from x

Now , the algebraic  expression =x-43

Cube of the difference of a number x and 43 =(x-43)(x-43)(x-43)

Cube of a number means multiply a number three times with self .

Therefore, Cube of the difference of a number x and 43=[tex](x-43)\times (x-43)\times(x-43)[/tex]

 Cube of the difference  of a number x and 43=(x-43)^3

Because in multiply  when base same then power of the number added.

Hence,the algebraic expression =(x-43)^3.

I

Solve: 110°20'

PLS TRY to translate degrees and minutes to degrees! BRAINLIEST for 1st answer :)

Answers

Answer:

110 1/3 or 100.33 degrees (to the nearest hundredth).

Step-by-step explanation:

There are 60 ' (minutes) in a degree.

So 20' = 20/60 = 1/3 of a degree.

Answer:

110 1/3°

Step-by-step explanation:

Recall that 1° = 60'.  Then 20' is 1/3 of 1°, or (1/3)°.

Then 110° 20' = 110° + (1/3)° = 110 1/3°.

Kevin caught some fish. Of them 4/9 were herring, and 2/9 salmon. What was the total amount of fish, amount of herring and amount of salmon if there were 12 flounders?

Answers

There were 3 different fish caught, Salmon, Herring and Flounder.

4/9 were Herring, 2/9 were Salmon, 4/9 +2/9 = 6/9

This means 3/9 were Flounders ( 3/9 + 6/9 = 9/9 = 1)

3/9 can be reduced to 1/3.

1/3 of the fish were Flounders.

Divide the amount of flounders by the portion caught:

12 / 1/3 = 12 * 3/1 = 36 total fish.

Now you have total number of fish, multiply the total by each portion for each type of fish.

Total fish = 36

Herring = 4/9 x 36 = 16

Salmon = 2/9 x 36 = 8

A triangle has side lengths 32, 45 and 18. What type of triangle is it?
A) right
B) acute
C) obtuse
D) none of the above
A triangle has side lengths 44, 36 and 30. What type of triangle is it?
A) right
B) acute
C) obtuse
D) none of the above

Answers

Answer:

Part A) Option C. obtuse

Part B) Option B. acute

Step-by-step explanation:

we know that

Applying the Pythagoras Theorem

if [tex]c^{2}=a^{2}+b^{2}[/tex] ----> is a right triangle

if [tex]c^{2}>a^{2}+b^{2}[/tex] ----> is an obtuse triangle

if [tex]c^{2}<a^{2}+b^{2}[/tex] ----> is an acute triangle  

where

c is the greater side

Part A) A triangle has side lengths 32, 45 and 18. What type of triangle is it?

we have

[tex]c^{2}=45^{2}=2,025[/tex]

[tex]a^{2}+b^{2}=32^{2}+18^{2}=1,348[/tex]

therefore

[tex]c^{2}>a^{2}+b^{2}[/tex]

Is an obtuse triangle

Part B) A triangle has side lengths 44, 36 and 30. What type of triangle is it?

we have

[tex]c^{2}=44^{2}=1,936[/tex]

[tex]a^{2}+b^{2}=36^{2}+30^{2}=2,196[/tex]

therefore

[tex]c^{2}< a^{2}+b^{2}[/tex]

Is an acute triangle


A rectangular prism is 4 inches long, 6 inches wide, and has a height of 5 inches. What is its volume?

60 in 3
120 in 3
148 in 3
240 in 3

Answers

Answer:

Step-by-step explanation:

The volume of a rect. prism is V = (length)(width)(height).

Here the volume is V = (4 in)(6 in)(5 in) = 120 in³ or 120 in^3

Note:  Please use " ^ " to indicate exponentiation:  120 in^3

Answer:

120 in 3

Step-by-step explanation:

The center is a(?,?)
The radius is _____ units.

Answers

Answer:

The center is at [tex](2,4)[/tex]

3 units

Step-by-step explanation:

You can observe in the graph a circle.

The x-coordinate and the y-coordinate of the center of the circle shown in the figure are:

[tex]x=2[/tex] and [tex]y=4[/tex]

Therefore, the point of the center of the circle is:

[tex](2,4)[/tex]

 You can observe that the diameter goes from -1 to 5, then the diameter is:

[tex]diameter=1units+5units\\\\diameter=6units[/tex]

The radius is half the diameter. Therefore, you can say that the radius of this circle is:

[tex]radius=\frac{diameter}{2}\\\\radius=\frac{6units}{2}\\\\radius=3units[/tex]

ANSWER

The center is (2,4)

The radius is 2√2 units

EXPLANATION

Each of the ticks is 1 unit

Counting two ticks from the origin to the right and 4 units up will land us at the center of the circle.

Hence the center is (2,4)

The circle passes through (0,2).

The radius is

[tex]r = \sqrt{ {(2 - 0)}^{2} + {(4 - 2)}^{2} } [/tex]

[tex]r = \sqrt{8} = 2 \sqrt{2} [/tex]

Which of the following ordered pairs represents an output of 5 and an input of -8?

(-8,-8)
(-8,5)
(5, 5)
(5, -8)

Answers

Answer:

(-8,5)

Step-by-step explanation:

The output corresponds to the y-value of an ordered pair while the input corresponds to the x-value of an order pair.

An ordered pair is written like this (x,y)

Which represents the solution(s) of the system of equations, y = x2 – x + 1 and y = x? Determine the solution set by graphing.

Answers

Answer:

(1 , 1)

Step-by-step explanation:

Given in the question two equations

Equation 1

y = x² – x + 1

Equation 2

y = x

Equate both equations

x² – x + 1 = x

0 = x² – x + 1 - x

x² – 2x + 1 = 0

x² - x - x + 1 = 0

x(x - 1) -1(x - 1) = 0

(x - 1)(x - 1) = 0

(x-1)² = 0

x - 1 = 0

x = 1

Plug x = 1 in first equation

y = 1² – 1 + 1

y = 1

Answer:

The answer is option A, or (1,1)

Step-by-step explanation:

I just took the test

Mike spent $7920 on his vacation, which was 11% of his monthly salary. What was his monthly salary

Answers

Answer: $72000

7290 divided by 11 = 720 720 times 100 = 72000

Please help will mark brainliest (answer must be right)

True or false

The points on a line can be paired one to one with real numbers ?

Answers

Answer: TRUE

Step-by-step explanation: This is true, because there is an infinite amount of real numbers in both, and they are both countably infinite (so these infinities are equal). Hope this helps!

Decide which trigonometric ratio to use. Solve for x in the triangle below.  Round your answer to the hundredths place.
Options
4.59

0.07

6.55

5.60

Answers

Answer: 4.59

sin(35)=x/8

8*sin(35)=x

x=4.59

Answer:

The value of x in the given triangle round to the nearest hundredths is:

                           4.59

Step-by-step explanation:

From the given triangle we observe that the side x is the opposite side corresponding to angle 35°.

i.e. we will use sine trignometric ratio in the triangle to get the value of x.

We know that:

[tex]\sin 35=\dfrac{x}{8}ddd[/tex]

Since the sine of an angle is the ratio of opposite side to the hypotenuse of the right angled triangle.

i.e.

[tex]x=8\times \sin 35\\\\i.e.\\\\x=8\times 0.5736\\\\i.e.\\\\x=4.588[/tex]

which is approximately equal to 4.59  units.

Use the drop-down menus to identify the key values of the box plot. The median is . The minimum is . The maximum is . The lower quartile (Q1) is . The upper quartile (Q3) is .
ANSWERS:
C
A
E
B
D

Answers

Answer: The lower quartile is Q1) is your minimum & your maximum is quartile Q3) bc is the larger one

Step-by-step explanation:

c

a

e

b

d

is none of your answer.

Answer:

person above is correct

Step-by-step explanation:

show them some love

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