Point K is between points J and L. If JK=x2−4x, KL=3x−2, and JL=28, find JK and KL.

Answers

Answer 1

Answer:

Step-by-step explanation:

JK + KL = JL

x² - 4x +3x - 2 = 28

x² - x - 2 = 28

x² - x -2 - 28 = 0

x² - x - 30 = 0

Sum = -1

Product = -30

Factors = -6 , 5    {-6 + 5 = -1 and (-6)*5 = -30}

x²  + 5x - 6x  - 30 = 0   {Rewrite the middle term}

x(x + 5) - 6(x + 5) = 0

(x + 5)(x - 6)= 0

x -6 = 0     {X +5 = 0 is ignored as measurement will not be negative}

x = 6

JK = x² - 4x

     = 6² - 4*6

     = 36 - 24

JK   = 12

KL = 3x -2

    = 3*6 - 2

    = 18 - 2

KL = 16


Related Questions

aye sumone help me right quick

Answers

180-110 divide by 2.

Madison needs to buy enough meat to make 1,000 hamburgers for the company picnic. Each hamburger will weigh 0.25 pound. How many pounds of hamburger meat should Madison buy?

Answers

she would have to buy 250 pounds of meet

6 1/42 + 4 5/6= simplest form + show work.
also 13/15 - 1/3 = simplest form show work.

thank you ​

Answers

Answer:

1. 10 6/7      2. 8/15

Step-by-step explanation:

1. 6 1/42 + 4 5/6

First, let's combine the whole numbers.  6 + 4 = 10Now we are left with 1/42 + 5/6.To add or subtract, the dominators need to be the same. We need to find the least common multiple which here is 42.

1/42 + 5/6(7)

1/42 + 35/42

= 36/42

= 6/7

All we have to do is combine both numbers.

10 6/7

2. 13/15 - 1/3(5)

13/15 - 5/15

8/15

The difference of 7 and the square of a number.

Answers

Answer:

Step-by-step explanation:

I can only show you what the answer is.

7 - x^2.

Be careful which one you put first. Unless told otherwise, the first number mentioned goes before the minus sign.

Cara used the order of operations to evaluate the expression below.




What was Cara’s first error?
Cara did not evaluate 7-13.
Cara did not evaluate (Negative 4) squared.
Cara subtracted 2 from 6 incorrectly.
Cara multiplied 2 and 4 incorrectly.

Answers

28 - 52 / 3 - 16 - 12 + 4

-24 / 3 + 16 - 8

-8 + 16 - 8

-16 + 16

0

Mark me brainlist

Answer:

Cara did not evaluate 7-13.

Step-by-step explanation:

This is the correct answer because I just did the test and got it right please give me the support you think I deserve.

Help me pls it for my homework

Answers

Answer:

16.34 yards of rope

Step-by-step explanation:

you need to do 4.67 x 2 and add 3.5 x 2 to get the total perimeter

Answer:

Step-by-step explanation:

[tex]\frac{7}{2} + \frac{14}{3} +\frac{7}{2} + \frac{14}{3}[/tex]

[tex]\frac{21}{6} + \frac{28}{6} +\frac{21}{6} + \frac{28}{6}[/tex]

[tex]\frac{98}{6}[/tex] = [tex]\frac{49}{3}[/tex] = 16 [tex]\frac{1}{3}[/tex]

Evaluate (27)−1/3(27)−1/3×[271/3−272/3]​

Answers

Answer:

[tex](27) - \frac{1}{3} (27) - \frac{1}{3} \times ( \frac{271}{3} - \frac{272}{3} ) \\ \\ 27 - 9 - \frac{1}{3} ( \frac{ - 1}{3} ) \\ \\ 27 - 9 - ( - \frac{1}{9} ) \\ \\ 27 - 9 + \frac{1}{9} \\ \\ \frac{243 - 81 + 1}{9} \\ \\ = \frac{163}{9} = 18.1 = 18 \frac{1}{9} [/tex]

I hope I helped you^_^

How to find the cube root of 8000 by estimation method

Answers

Step-by-step explanation:

pls mark me as brainliest

A quart floor has a side length of 7x^5y^6 units. A square tile has a side length of x^2y units. How many tiles will it take to take to cover the floor?

Answers

About 49 tiles will be needed to cover the floor

A square is a shape having equal sides. The area of a square is expressed as:

A = L²

L is the side length of a square.

If a square tile has a side length of x²y units, the area of the square tile will be:

A = (x²y)²

As = x⁴y² units²

Similarly, if a quart floor has a side length of 7x⁵y⁶ units. The area of the quart floor will be expressed as:

Aq = (7x⁵y⁶)²

Aq = 49x¹⁰y¹²

Divide both areas to get the number of tiles that will cover the floor

Number of tiles = 49x¹⁰y¹²/x⁴y²

Number of tiles = 49x⁶y¹⁰

This shows that about 49 tiles will be needed to cover the floor.

Learn more here: https://brainly.com/question/7511709

Help please for 13 coins

Answers

Answer:

-146.03008

Step-by-step explanation:

(-8.149)(17.92) = -146.03008

Answer:

-146.03008

do you have to show work?

i will add another question just please help me

Answers

jus wanted the points . sorry . if its a test then look on quizlet , or quizziz , cse sis they got tuns'uh answerssss !

mwah .

The denominator of a rational number is greater than its numerator by 7. If the numerator is increased by 6 and the denominator is decreased by 5, the new rational number obtained is 3/2. Find the original rational number.

Answers

Answer:

6/13

Step-by-step explanation:

6    +   6    =    12            3

----                    ----    =    ---

13     -   5    =     8            2

Answer:

Original Rational number is = 6/13

Step-by-step explanation:

Let Numerator be : x

Denominator be : x + 7

Now,

Numerator is increased by 6Denominator is decreased by 5the new rational number obtained is 3/2

Numerator = x + 6

Denominator = ( x + 7) - 5

According to the question,

[tex] \displaystyle \: \sf \dashrightarrow \: \frac{x + 6}{(x + 7) \: - 5} = \: \frac{3}{2} [/tex]

[tex]\displaystyle \: \sf \dashrightarrow \: 2(x + 6) \: = 3 \{ \: (x + 7 ) - 5\} \: [/tex]

[tex]\displaystyle \: \sf \dashrightarrow \: 2x \: + 12 \: = \: 3(x + 2)[/tex]

[tex]\displaystyle \: \sf \dashrightarrow2x + 12 \: = 3x + 6[/tex]

[tex]\displaystyle \: \sf \dashrightarrow \: 2x - 3x \: = \: 6 - 12[/tex]

[tex] \: \: \: \displaystyle \: \sf \dashrightarrow \: - x \: = - 6 \\ \\ \: \: \: \: \: \: \displaystyle \: \bf \dashrightarrow \: x \: = 6[/tex]

Numerator = 6

Denominator = x + 7

= 6 + 7

= 13

Thus ,

[tex]\: \bf { \red{ \underline{\dashrightarrow \: obtained \: rational \: number \: = \: \frac{6}{13} }}}[/tex]

[tex] \pink{\rule{160pt}{5pt}}[/tex]

can someone show me how to solve 30-x=22-1/2x, please?

Answers

30-x=22-1/2x is equal to 16? I hope you mean evaluate

(x+4)
Solve for x:
= 2. (1 point)
3
O x = 2
O
x= 10
3
2
X =
O x= -2

Answers

Answer:

x = 2

Step-by-step explanation:

[tex] \frac{x + 4}{3} = 2[/tex]

[tex]x + 4 = 6[/tex]

[tex]x = 6 - 4 = 2[/tex]

A regular square-based pyramid has a surface area of 33 m2. If its triangular faces have an area of 6 m2, what is the length of the base of the pyramid?

Answers

Answer:

First we can do 33 time 6

Step-by-step explanation:

The length of the base of the pyramid is 3 meters.

What is a square pyramid?

A pyramid is a polyhedron that has a base and 3 or greater triangular faces that meet at a point above the base. A square pyramid is a pyramid with a square base, four triangular sides, five vertices, and eight edges.

For the given situation,

The surface area of the pyramid = 33 m^2

Area of triangular faces = 6 m^2

Let the base of the pyramid be b and the height be h.

The formula of area of triangle is

[tex]A = \frac{1}{2}(b)(h)[/tex]

⇒ [tex]6 = \frac{1}{2}(b)(h)[/tex]

⇒ [tex]6(2) = (b)(h)[/tex]

⇒ [tex]12 = (b)(h)[/tex]

The formula of surface area of square pyramid is

[tex]SA = b^{2}+2bh[/tex]

⇒ [tex]33=b^{2} +2(12)[/tex]

⇒ [tex]33-24=b^{2}[/tex]

⇒ [tex]b=\sqrt{9}[/tex]

⇒ [tex]b=3[/tex]

Hence we can conclude that the length of the base of the pyramid is 3 meters.

Learn more about square pyramid here

https://brainly.com/question/22645991

#SPJ2

please help <3

A=Bxt+C


love you thanks

Answers

A=bxtc
A/btc=x

x=a/btc

Evaluate 2(x + 1) - 3 when x = 6.
O A. 5
OB. 10
O C. 11
O D. 8

Answers

Answer:

C. 11

Step-by-step explanation:

2(x + 1) - 3

(Putting x = 6)

= 2(6 + 1) - 3

= 2 × 7 - 3

= 14 - 3

= 11 (Ans)(

6
Because you multiply the 2 into the () then add the two new numbers and subtract 3

|k + 8| > 2, solve for k.

Answers

Answer:

k > -6

k < -10

Step-by-step explanation:

|k + 8| > 2

~We know this problem will have two different solutions

k + 8 > 2 and k + 8 < -2

~Solve for k in both

k + 8 > 2

k > -6

~Solution 2

k + 8 < -2

k < -10

Best of Luck~

PLEASE PLEASE PLEASE HELP TRANSLATING SENTENCES INTO EQUATIONS

Answers

Answer:

5×(w + 7) = 4

Step-by-step explanation:

w is the unknown number.

5 times something means multiply something 5 times.

a sum means adding things

so, the sum of a number and 7 is

w + 7

5 times that sum is then

5×(w + 7)

and that while thing is (equals) 4

5×(w + 7) = 4

by the way, solving that means

5w + 35 = 4

5w = -31

w = -31/5

Answer:

5(w + 7) = 4

Step-by-step explanation:

Do one part of the sentence at a time until you write the entire sentence as an equation.

"Five times the sum of a number and 7 is 4."

The problem tells us to use w for the number, so we write w below.

w

"Five times the sum of a number and 7 is 4."

Now we move on to the part dealing with the sum of the number and 7. A sum is an addition, so we add 7 to the number w.

w + 7

"Five times the sum of a number and 7 is 4."

Now we take care of the part dealing with product of 5 and the sum.

5(w + 7)

"Five times the sum of a number and 7 is 4."

The last part is dealing with the part "is 4". The word "is" very often means "equals", so the entire expression we wrote is equal to 4.

5(w + 7) = 4

Answer: 5(w + 7) = 4

help need an answer asap​

Answers

Step-by-step explanation:

1. set of even numbers

3. set of months that start with J

4. set of vowel sounds

5. set of days that start with T

6. set of perfect squares

Hope this helps please like and mark as brainliest

Write a simplified expression for the area of the rectangle.
Length: 9.6x+7
Width: 2.5

Answers

Step-by-step explanation:

the area of rectangle = length × width

= (9.6x +7)×(2.5)

= 24x + 17.5

Question:-

Write a simplified expression for the area of the rectangle.

Length: 9.6x+7

Width: 2.5

Solution:-

Given,

Length = 9.6x + 7

Width = 2.5

Now,

> Area of rectangle = Length × Breadth

> = (9.6x + 7) × (2.5)

> = 24 x + 17.5

Answer:-

24x + 17.5

What’s the midpoint of points a (6,-4) and b (2,-10) graphically

Answers

Answer:

here is ur midpoint

Step-by-step explanation:

(4, -7)

Evaluate c - 2 when c = 7.

Answers

Answer:

5

Step-by-step explanation:

if c = 7, then we can replace c by 7. Therefore the original question would be evaluate 7-2, which is equal to 5.

Answer:

5

Step-by-step explanation:

lests substitude 7 or C

 C - 2

= 7 - 2

=5

the sum of 6, 7 times a number y and 7 times the same number y. Simplify

Answers

Answer:

Use the given functions to set up and simplify

y=7n

Step-by-step explanation:

6=

7⋅n=7n

7=7n

y=7n

19 divide 4257 help me pleaseee

Answers

you can literally get a calculator & use that but the answer is 0.00446323702

helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

b

Step-by-step explanation:

19 × 9 =171

length × width = area

Answer:

[tex]area \: of \: the \: rectanle \: = 19 \times 9 = 171 \: inches \\ \\ \\ \\ \\ \\ \\ \\ mark \: me \: as \: brainliest[/tex]

What is the solution to y + 2 = -6?

Answers

y = - 8

I hope this helps!

Step-by-step explanation:

y+2=-6

by subtracting 2 from both sides we get

y+2-2=-6-2y=-8

Can someone help me ASAP

An architect designed an office complex with 4 towers. The A tower is 100 feet shorter than the B tower, but it is 200 feet taller than the C tower. The C tower is 100 feet taller than the D tower. The D tower is 300 feet tall. How tall is the B tower?

Answers

Answer:

700 Feet

Step-by-step explanation:

If D = 300 then C must be 400 and A must be 600 and since A is 100 feet shorter than B but 200 taller than C!

I need help with #40 ASAP…please help me this one…. Show step by step please

Answers

Answer:

22801

Step-by-step explanation:

#40

No. of terms = (301 + 1)/2

No. of terms = 302/2

No. of terms = 151

Now,

Sum = n²

Sum = (151)²

Sum = 22801

Answer:

For #40.

S = 22801

Step-by-step explanation:

On #40 the last term is 301, so we add 1

[tex]302[/tex] ÷ [tex]2 = 151[/tex]

[tex]n = 151[/tex]

To get [tex]n^{2}[/tex], multiply 151 by itself

[tex]151[/tex] × [tex]151 = 22801[/tex]

[tex]S = 22801[/tex]

Clark used a digital thermometer to check the internal temperature of a roasting turkey. The thermometer read 168 °F, and its reading is accurate within 2.7 °F. Which temperature falls within this range? A 165.8 °F B 165.1 °F C 171.0 °F D 172.7 °F

Answers

Answer:

A and C falls within the range.

Step-by-step explanation:

Have a nice day!

Answer:

A. 165.8°F

Step-by-step explanation:

The range for the thermometer must be from 165.3°F to 170.7°F and the only answer choice that falls between those two numbers is, A 165.8°F.

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