Point J is on line segment IK. Given JK = 2x, I J = 5x, and I K = x + 6,
determine the numerical length of JK.
2

Answers

Answer 1

Answer:

JK = 2

Step-by-step explanation:

JK = 2x, I J = 5x, and I K = x + 6,

|<-------------- x + 6 ------------------->|

I____________J___________K

          5x                        2x

x + 6 = 5x + 2x

6 = 7x - x

6 = 6x

x = 6 / 6

x = 1

substitute x=1 to JK

JK = 2x

    = 2(1)

     = 2

Answer 2

Answer -

JK = 2x, I J = 5x, and I K = x + 6,

--------------------------------------------

x + 6 = 5x + 2x

6 = 6x

x = 6 / 6

x = 1

-------------------------------------------

make the x=1 to JK

JK = 2x

   = 2(1)

    = 2


Related Questions

write an equation for the line passing through the points (3,-6) and (-9,-6) y=mx+b format.

Answers

Answer:

y=-6

Step-by-step explanation:

First, find the slope of the two coordinates using the slope formula:

Slope formula: y2-y1/x2-x1

Plug the numbers into the formula and solve:

-6--6/-9-3 = 0

Now,use the slope and one of  the coordinates to put the line in point-slope form

Point slope: y-y1=m(x-x1)

y+6=0(x-3)

Simplify

y+6=0-0

y=-6

Lashonda is saving money to buy a game. So far she has saved $6, which is two-thirds of the total cost of the game. How much does the game cost?

Answers

Answer:

The game costs $9

Step-by-step explanation:

I wrote an equation using the variable "t" for the total cost of the game.

6=2/3t

t=6/2/3

t=(6/1)(3/2)

t=18/2

t=9

Which is equivalent to 16^3/4x

Answers

B the answer is b lol xd1099

Help me out here pleaseeeeeeee

Answers

Answer:

12

Step-by-step explanation:

No. of planters = 4 ÷ [tex]\frac{1}{3}[/tex]

To change the ÷ sign to a × sign, swap the denominators and numerators of the second fraction.

4 ÷ [tex]\frac{1}{3}[/tex]  = 4 × [tex]\frac{3}{1}[/tex]

Directly multiply.

4 × [tex]\frac{3}{1}[/tex] = 12

8 divided by 832 (long division)

Answers

Answer:

Step-by-step explanation:

832/8 math problems division = 104. Therefore 104 to 2 decimal places= 104

832/8 divided by 2 » (832/8) ÷ 2 » 104 ÷ 2 = 52

A= P(1 + rt)
A= P+rt
A - P= rt
r= (A- P)/t
Explain the algebraic error in the student's work.
Then, state how the equation r = (A- P)/t can be
modified to produce the correct result.

Answers

The student forgot to distribute the P into rt as well in the second line.

So, to solve for r correctly:
A=P(1+rt)
A=P+Prt
A-P=Prt
r=(A-P)/Pt

Find the missing measurement. Use 3.14 for it.*
Radius: 6 mm
Diameter: 12 mm
Area: A=
18.84 mm squared
37.68 mm squared
113.04 mm squared
452.16 mm squared

Answers

Answer:

452.16 mm squared is a correct answer.

Sure!

;):);):):):):):):):)

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Answers

Answer:

32 and 5n + 2

Step-by-step explanation:

(a)

The pattern of the number of sticks is

7, 12, 17

There is a common difference of 5 between consecutive terms.

Thus to obtain the number of sticks in number 6 , add 5 to previous terms, that is

a₄ = 17 + 5 = 22

a₅ = 22 + 5 = 27

a₆ = 27 + 5 = 32

There are 32 sticks in pattern number 6

(b)

The sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

Where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 5 , then

[tex]a_{n}[/tex] = 7 + 5(n - 1) = 7 + 5n - 5 = 5n + 2

number of sticks in pattern number n is 5n + 2

32 and 5n + 2

Step-by-step explanation:

(a)

The pattern of the number of sticks is

7, 12, 17

There is a common difference of 5 between consecutive terms.

Thus to obtain the number of sticks in number 6 , add 5 to previous terms, that is

a₄ = 17 + 5 = 22

a₅ = 22 + 5 = 27

a₆ = 27 + 5 = 32

There are 32 sticks in pattern number 6

(b)

The sequence is arithmetic with n th term

= a₁ + (n - 1)d

Where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 5 , then

= 7 + 5(n - 1) = 7 + 5n - 5 = 5n + 2

number of sticks in pattern number n is 5n + 2

Help pleaseeee cxxxcxx

Answers

Answer:

no. I'm pretty sure it's not

This is not a function because there cannot be two of the same input

Write an equation for the parabola that passes through (1,12) and has vertex (10,-4)

Answers

Answer:

y + 4 = (16/81)(x - 10)

Step-by-step explanation:

The general formula for a parabola passing through (x, y) and with vertex (h, k) is                  y - k = a(x - h)^2.

Here we are told that x = 1, y = 12, h = 10 and k = -4, which gives us:

                         12 + 4 = a(1 - 10)^2, or

                              16  =  81a

Then a = 16/81, and the desired parabola is

                                  y + 4 = (16/81)(x - 10)

5x+40 factorising fully

Answers

Answer:

5(x+8)

Step-by-step explanation:

because 5×x=5x

5×8=40

altogether it is 5x+40.

was this helpful?

Let V(t) represent the value of a bank account, in thousands of dollars, t years after the account is opened at the bank. Determine whether each statement below is true. Select True or False for each statement.

V(0) = 2 means that the value of the bank account when it is opened is $2000
V(5) = 2.2 means that 2.2 years after the bank account is opened, its value is $5000
V(10) – V(5) = 0.4 means that the bank account grows by $400 between 5 and 10 years after its opening

Answers

Answer:

True false false

Step-by-step explanation:

The following statements can be considered true or false as the case may be as follows;

V(0) = 2 means that the value of the bank account when it is opened is$2000 --TRUEV(5) = 2.2 means that 2.2 years after the bank account is opened, its value is $5000 --FALSEV(10) – V(5) = 0.4 means that the bank account grows by $400 between 5 and 10 years after its opening --TRUE

Discussion:

The function takes the form;

V(t) = Value of account.

Ultimately,

Statement 1 is true; Statement 2 is false; andStatement 3 is true.

Read more:

https://brainly.com/question/3559047

My mum is 29 and my dad is 36.What is thr difference in their ages​

Answers

Answer:

7

Step-by-step explanation:

differnece = subtraction

36-29 = 7

Hope this helps plz hit the crown :D

Answer:

seven

Step-by-step explanation:

36 - 29 = 7

unless their birthday months are something like:

mom - 3rd of may

father - 8 of november

then technically it's 6 years and a few months but it's not that deep haha

Can you help me with this math problem? Im having a hard time with it, if you can explain it too that would help a lot. attachment below

Answers

Answer:

[tex]3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}[/tex]

Thus, the equivalent expression is:  [tex]\frac{1}{24^3}[/tex]

Step-by-step explanation:

Given the expression

[tex]3^{-3}\cdot 8^{-3}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]

[tex]=8^{-3}\cdot \frac{1}{3^3}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]

[tex]=\frac{1}{3^3}\cdot \frac{1}{8^3}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]

[tex]=\frac{1\cdot \:1}{3^3\cdot \:8^3}[/tex]

[tex]=\frac{1}{24^3}[/tex]

Thus,

[tex]3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}[/tex]

Thus, the equivalent expression is:  [tex]\frac{1}{24^3}[/tex]

do two lines that intersect make 4 right angles

Answers

Answer:

if they are perpendicular

Answer:

Yes

Step-by-step explanation:

Two lines that intersect each other can intersect each of perpendicularly, which forms 4 right angles.

I hope this helps!


Find cos(a) in the triangle.

Answers

Answer:

cos(α) = 24/25.

Step-by-step explanation:

First of all, we'll find the answer just using the fact that ABC is a right triangle in C. So, by the definition of cosine:

[tex]\cos(\alpha) = \dfrac{AC}{AB}\\\\\boxed{\cos(\alpha) = \dfrac{24}{25}}[/tex]

Now, we'll solve the question with another approach. By the Law of Cosines in the triangle ABC:

[tex]BC^2 = AB^2+AC^2-2\cdot AB\cdot AC\cos(\alpha)\\\\7^2 = 25^2+24^2-2\cdot 25\cdot 24\cos(\alpha)\\\\49 = 625+576-1200\cos(\alpha)\\\\1200\cos(\alpha)=1152\\\\\boxed{\cos(\alpha) = \dfrac{24}{25}}[/tex]

Which one should I choose

Answers

Answer:

C. 10x^2    

Step-by-step explanation:

Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)?
O
-5
+
4
-4
+
5
-3
-2
-1
0
1
2
3
+
-4
+
-3
+
-1
-5
+
1
+
2
-2
O
3
4.
5
.
O
+
+
o
-3
+
-1
+
1
-2
+
2
+
3
+
4
-4
-5
+
5
O
O
6
-5
-4
-3
-2
-1
0
1
2
3
4
5

Answers

The answer is b hope this helped :)

The inequality equation is x > 3 and the graph is plotted

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

3(8 - 4x) < 6(x - 5)

24 - 12x < 6x - 30 (Distributive property)

Adding 30 and 12x on both sides , we get

24 + 30 < 6x + 12x

On further simplification , we get

54 < 18x

Divide by 18 on both sides , we get

x > 3

Hence , the inequality is x > 3

To learn more about inequality equations click :

https://brainly.com/question/11897796

#SPJ7

(Please help fast I have like 20 minutes to answer the question )

Answers

Answer:

2/3 / 1/6

4/6 / 1/6

1/6 can go into 4/6 4 times. the answer is C; 4

Step-by-step explanation:

State the operations used to solve the following equation. 2x + 8 = 9
A
Subtract 8 from both sides, divide by 2 on both sides.
B.
Add 8 to both sides, multiply by 2 on both sides.
С
Divide by 2 on both sides, subtract 8 from both sides.
D
Subtract 9 from both sides, divide by 9 on both sides.

Answers

Answer:

a

Step-by-step explanation:

What is the answer to this?

Answers

Answer:THE ANSWER IS C HOPE THIS HELPS ANY

Step-by-step explanation:

How can 85% be broken down with friendly percents to find 85% of a number?

Answers

Answer:

it would be  C

Step-by-step explanation:

5(10%)+25%

Answer: options:

2(25%) + 3(10%)

3(25%) + 10%

5(10%) + 25%

4(10%) + 2(25%)

b.  the answer is 3(25%)+ 10%

Step-by-step explanation:

hope this helps!

GIVEING BRAINLIST PLZ HELP On the number line, a point was moved from -7 to -3. Which of the following problems describes this move?

-7 + 3 = -4
-7 - 4 = -3
-7 - 3 = -10
-7 + 4 = -3

Answers

Answer:

c

Step-by-step explanation:

It will be 17+4=-3 because you are adding +4 to -7 which will give you -3

ALL I NEED IS #9 PLS

Answers

Answer:

x=24

Step-by-step explanation:

x/6=4

4*6=x

x=24

Which factor is least likely to affect the results and interpretation of a functional MRI?
A. cancerous growth
B. prescription medication
C. a sinus infection
D. caffeinated soda

Answers

Answer:

Cancerous growth

Step-by-step explanation:

For example, a tumor would be found in MRIs and will have a significant impact on the results and interpretation of a functional MRI. A tumor that is cancerously growing is very crucial to the function of an MRI

I hope this helps

The functional MRI also known as fMRI monitors brain anatomy activity

The factor that is least likely to affect the results and interpretation of a

functional MRI is; C. A sinus infection.

Reasons:

MRI stands for magnetic resonance imaging, and it is used to generate

images of the interior of items, such as the human body, without opening

the body, by producing strong magnetic fields, from the built in powerful

magnets.

The parts of the body that are examined by an MRI scan includes, the

internal organs, blood vessels, brain, and spinal cord.

The MRI scan works by tracking radio signals sent by protons in the body

which vary based on the type of tissue.

Due to the requirement for the patient to remain stationary during the

scan, medication may be given. It is also important to not take caffeinated

drinks prior to the examination.

A functional MRI is used to monitor the functioning of the brain's anatomy,

by blood flow change detection.

Therefore, the factor that is least likely to affect the result and

interpretation of a functional MRI is a sinus infection which is the

inflammation of the sinus lining and mucus presence, that rarely cause

neurologic complications.

Learn more here:

https://brainly.com/question/21405582

What is the slope of the line through the points (-4,6) and (-3,-1)

Answers

Go down 7 and right 1 unit
The slope=-7/1 or just -7

About 3/5th of the registered voters participated in 2016 election. California has 25 million registered voters. Find the number of registered voters who participated in 2016 election.

Answers

Answer:

Step-by-step explanation: 3x5=7056 = x25 2016

PLEASE HELP ME I NEED AN ANSWER FAST PLEASE THANK YOU

Answers

Answer:

your answer will be $29.

1 LB= $4

4 Oz = $1

Michael’s home is 12 feet below sea level and his mother’s home is 12 feet above sea level. Michael says their homes are at opposite elevations because they are in opposite directions. Is he correct? Explain.

Answers

Answer:

Yes he is correct because -12 and 12 are the opposite.

Step-by-step explanation:

Answer:

He is correct because the numbers are in opposite directions on the number line, and their distances from 0 on the vertical number line are equal

a squirrel burrowed 12 holes in 3 minutes how many holes could the squirrel burrow in 12 minutes

Answers

Answer:

12 x 3 = 36

Step-by-step explanation:

So it’s 36

Answer:

48 holes

Step-by-step explanation:

find the unit rate, 12 holes in 3 minutes means 4 holes in 1 minute. to find how many holes in 12 minutes, multiply 4 by 12, you will get 48.

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