look at image. reflection across the x-axis​

Answer:

[tex] LJ = 46 [/tex]

Step-by-step explanation:

Given:

[tex] LK = MK [/tex]

[tex] LK = 7x - 10 [/tex]

[tex] KN = x + 3 [/tex]

[tex] MN = 9x - 11 [/tex]

[tex] KJ = 28 [/tex]

Required:

LJ

Solution:

Step 1: create an equation to find the value of x

Since we are given that LK = MK, and LK = 7x - 10, let's find the expression for MK to get an equation.

[tex] MK + KN = MN [/tex] (segment addition postulate)

[tex] MK = MN - KN [/tex] (Subtract KN from each side)

[tex] MK = (9x - 11) - (x + 3) [/tex] (subtitution)

[tex] MK = 9x - 11 - x - 3 [/tex]

[tex] MK = 9x - x - 11 - 3 [/tex]

[tex] MK = 8x - 14 [/tex]

LK = MK, therefore,

[tex] 7x - 10 = 8x - 14 [/tex]

Subtract 8x from each side

[tex] 7x - 10 - 8x = 8x - 14 - 8x [/tex]

[tex] -x - 10 = -14 [/tex]

Add 10 to both sides of the equation

[tex] -x - 10 + 10 = -14 + 10 [/tex]

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

Divide both sides by -1

[tex] x = 4 [/tex]

Step 2: Find LJ

[tex] LJ = LK + KJ [/tex] (segment addition postulate)

[tex] LJ = (7x - 10) + (28) [/tex]

Plug in the value of x

[tex] LJ = 7(4) - 10 + 28 [/tex]

[tex] LJ = 28 - 10 + 28 [/tex]

[tex] LJ = 46 [/tex]

Hi

[tex]\sqrt{(x+7)[/tex]   -1 = X

Let's square the whole thing  

so we have :    x+7 +1 = x²

                         x² +x+7 +1 = 0

                         x²+x+8 = 0

no easy way to see a common factor so, let 's resolve by using discriminate.  

Δ = 1-4*1*8

Δ = 1 -32

Δ = -31

as Δ  ≤ 0 , there is no Real answer to your equation  

however , if you need we can find imaginary solutions. Just ask in commentaries

Answer:

its 2

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Whenever you are multiplying 2 negative numbers together, the answer is always positive. In this case, you are multiplying -1 and -17 together, so your answer is going to be 17.

Answer:

y = - x² + 2x - 4

Step-by-step explanation:

The equation of a parabola in standard form is

y = ax² + bx + c ( a ≠ 0 )

Given

x² + y = 2x - 4 ( subtract x² from both sides )

y = - x² + 2x - 4 ← in standard form

Answer:

O is greater than -4

Step-by-step explanation:

Answer:

O is less than -4

0<-4

Step-by-step explanation:

Answer:

4.63 as simplified fraction is

463/100

Step-by-step explanation:

4.63 as a fraction in simplest form

To convert 4.63 to fraction, follow these steps:

First write down the decimal number divided by 1 like this:

4.63/1

As we have 2 digits after the decimal point in the numerator, we need to multiply both the numerator and denominator by 10² = 100, so that there is no decimal point in the numerator

4.63 × 100

   1 × 100

=

463/100

As the numerator is greater than the denominator, we have an improper fraction, so we can also express 4.63 as a mixed number, thus 463/100 is equal:

4 63/100

Answer:

6+36-4=38/2=19

Answer is 19 for number 1

Step-by-step explanation:

Answer

pi.

Step-by-step explanation:

If you add pi (3.14) to 3/4, you will get an irrational answer.

Answer: 8

Step-by-step explanation:

Answer:

the surface  area of a penny = 662.81 mm²

Step-by-step explanation:

given:

A penny is a cylinder with a diameter of 19.05 millimeters

and a thickness of 1.55 millimeters.

find:

what is the surface  area of a penny?

surface area of a cylinder formula:

As = 2 π r h + 2 π r²

let r = 19.05 / 2

r = 9.53 mm

let h = 1.55mm

plugin values into the formula:

As = 2 π (9.53) 1.55    +    2 π (9.53)²

As = 92.76 +  570.05

As = 662.81 mm²

therefore,

the surface  area of a penny = 662.81 mm²

Answer:

the surface  area of a penny = 662.81 mm²

Step-by-step explanation:

got this correct in exam

Answer:

C. 25 ÷ 10

Step-by-step explanation:

A. 10/25

B. 2/5

C. 25 ÷ 10

D. 0.4

Total customers at Becky's restaurant = 25

Customers who order wheat rolls = 10

It means 10 out of 25 customers order wheat rolls

That is

10 / 25

Dividing both numerator and denominator by 5

= 2 / 5

2/5 in decimal

= 0.4

The option Which does NOT represent the part of the customers who order wheat rolls

is 25/10

Option C. 25 ÷ 10

There are several relationships between angles within a transversal of parallel lines.

The complete statement is (b) ∠7 and ∠1 are alternate exterior angles

From the figure (see attachment), we have the following highlights

The above highlights mean that:

Angles 7 and 1 are alternate interior angles

Hence, the text that completes the blank is (b) ∠1

Read more about alternate interior angles at:

https://brainly.com/question/15685431

Answer:

b ∠1

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

bc the integer equals to the subset

Answer:I have now idea how to do this I only nine

Step-by-step explanation: IDK

Answer:

6 eggs for a 15 person cake.

Step-by-step explanation:

The cake recipe for 5 people requires 2 eggs.

You are solving for the amount of eggs for 15 people.

Divide 15 with 5: 15/5 = 3

The prompt multiplied 3 to the people to get the required amount. Do the same with the eggs:

2 x 3 = 6

6 eggs is needed.

[tex]\frac{5 people}{2 eggs} * \frac{3}{3} = \frac{15 people}{ 6 eggs}[/tex]

Answer:180

Step-by-step explanation:

Answer:

It's A :)hope this helped.

Step-by-step explanation:

Answer:

A

Step-by-step explanation: Khan Academy

$580 = 100%

$1 = 100% ÷ 580

$464 = (100% ÷ 580) × 464

= 80%

Therefore,

percentage discount = 100% - 80%

= 20%

i hope my solution helps :))

Answer:

[tex]$\frac{1}{1029} $[/tex]

Step-by-step explanation:

[tex]$\frac{\sqrt[3]{343^{-3}}}{\sqrt[4]{81} } $[/tex]

[tex]$\boxed{\text{Property: } a^{-b}=\frac{1}{a^{b}}} $[/tex]

[tex]$\frac{\sqrt[3]{\frac{1}{343^{3}} }}{\sqrt[4]{81} } $[/tex]

[tex]$\frac{\frac{\sqrt[3]{1} }{\sqrt[3]{343^3} } }{\sqrt[4]{81} } $[/tex]

[tex]$\frac{\frac{1 }{343} }{3} $[/tex]

[tex]$\frac{342 \cdot \frac{1 }{343} }{343 \cdot 3} $[/tex]

[tex]$\frac{1}{1029} $[/tex]

Answer:

1/81

Step-by-step explanation:

First, square 1/3 that gets you, 1/9, multiply by 3 again to get 1/27, again to get 1/81

Answer:

W

Step-by-step explanation:

so you go to the right 2 times then you go down 5 and a half times (where the negative numbers are) and then you get the answer here is a picture so you can understand a little better, I hope this helps you :)

Answer: 0.75 minutes per lap

Explanation:

Answer:

El cubo de la diferencia de dos cantidades es igual a la primera cantidad elevada al cubo menos tres veces la primera cantidad elevada al cuadrado por la segunda cantidad más tres veces la primera cantidad por la segundad cantidad al cuadrado menos la segunda cantidad al cubo.

Step-by-step explanation:

Answer:

lo siento, no puedo ayudarte

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

4x+3=15

subtract

4x=12

divide

x=3

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

[tex]4x+3=15\\\\4x+3-3=15-3\\\\4x=12\\\\\frac{4x=12}{4}\\\\\boxed{x=3}[/tex]

Hope this helps.

Answer: Length = 28 feet and width = 9 feet

Step-by-step explanation:

Let x = width of the wall.

Then, Length of the wall =  10+2x

Since , Area of rectangle = length x width

Then, as per given,

[tex]252= (10+2x)x\\\\\Rightarrow\ 252=10x+2x^2\\\\\Rightarrow\ 2x^2+10x-252=0\\\\\Rightarrow\ x^2+5x-126=0\\\\\Rightarrow\ x^2+14x-9x-126=0\\\\\Rightarrow\ (x+14)-9(x+14)=0\\\\\Rightarrow\ (x+14)(x-9)=0\\\\\Rightarrow\ x=-14 \ or \ x= 9[/tex]

Since width cannot be negative , so x = 9

So width = 9 feet and length = 10+2(9)=10+18 = 28 feet

Hence, length is 28 feet and width is 9 feet of the wall of the barn.

Answer:

Shown in the picture

Answer:

________________

I think it's 85 yards