An equation is modeled below.

What value of x makes the equation true?

Answer Choices:
A x = 1
B x = -1
C x = -9
D x = -13

Answer:

[tex]x=9, AB=BC=AC=35[/tex]

Step-by-step explanation:

Equilateral triangles have 3 congruent sides, so all 3 sides have the same length. Therefore, we know that [tex]AB=BC=AC[/tex]. We are given the lengths of all 3 sides in terms of [tex]x[/tex], but we only need to set two of them equal to each other to solve for [tex]x[/tex]. Let's use [tex]AB[/tex] and [tex]BC[/tex] to solve for [tex]x[/tex]. We know that [tex]AB=BC[/tex], [tex]AB=2x+17[/tex], and [tex]BC=6x-19[/tex]. Therefore, we can write the following equation to solve for

[tex]AB=BC\\2x+17=6x-19[/tex] (Substitute given values into equation)

Solving for [tex]x[/tex], we get:

[tex]2x+17=6x-19\\2x+17-17=6x-19-17[/tex] (Subtract [tex]17[/tex] from both sides of the equation to isolate constants)

[tex]2x=6x-36[/tex] (Simplify)

[tex]2x-6x=6x-36-6x[/tex] (Subtract [tex]6x[/tex] from both sides of the equation to isolate [tex]x[/tex])

[tex]-4x=-36[/tex] (Simplify)

[tex]\frac{-4x}{-4}=\frac{-36}{-4}[/tex] (Divide both sides of the equation by [tex]-4[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=9[/tex] (Simplify)

Therefore, [tex]AB=2x+17=2*9+17=18+17=35[/tex], and [tex]AB=BC=AC=35[/tex]. Hope this helps!  

Answer:

x=27

Step-by-step explanation:

Step 1: Multiply both sides by 5.

4(x−2)

5=20

(4(x−2)*(5)*(5)=(20)*(5)

4(x−2)=100

Step 2: Simplify both sides of the equation.

4x−8=100

Step 3: Add 8 to both sides.

4x−8+8=100+8

4x=108

Step 4: Divide both sides by 4.

4x/4=108/4

x=27

Step-by-step explanation:

(x-2)/5 = 5

(x-2) = 25

x = 27

Answer:

What would be the growth factor (multiplier)?

Continuously compounded:

e or 2.718.

Simple interest:

1.84

If the trend continues how much would the house be worth 12 years after Sam

purchased the house?

Continuously compounded:

$347,455.05

Simple interest:

$276,000.00

_______________

Step-by-step explanation:

Answer:

f(-3)= -18

Step-by-step explanation:

f(-3) basically means x=-3 so just substitute with that

f(-3)= 2(-3)³+4x²

= -54+36 = -18

Answer:

[tex]1 \frac{5}{12} [/tex]

[tex] 1\frac{3}{14} [/tex]

Answer:

10

Step-by-step explanation: 17+10=27, 17-10=7

Answer:

68

Step-by-step explanation:

The formula for finding the are of a right triangle is

A= 1/2bh

( area = base times height divided by 2)

17 is the base and 8 is the height, 8*17=136

136÷2=68

Answer:

x = 15/14

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 3x from both sides.

Step 3: Add 6 to both sides.

Step 4: Divide both sides by 7.

Answer:

1000:1000000

Or,

1:1000

Answer:

the answer is B

Step-by-step explanation:

you multiply 4 by -5z and 2 and get -20z+8 then you subtract the -6 from 8 and get 2 so -20z+2 a is -20z-2 so its not equivalent but b equals -20z+2 so it's B

Answer:

A

Step-by-step explanation:

Answer:Rearrange the equation by subtracting what is to the right of the greater equal sign from both sides of the inequality :

                    9*x-4-(95)≥0

Step by step solution :

STEP

1

:

Pulling out like terms

1.1     Pull out like factors :

  9x - 99  =   9 • (x - 11)

Equation at the end of step

1

:

STEP

2

:

2.1    Divide both sides by  9

Solve Basic Inequality :

2.2      Add  11  to both sides

            x ≥ 11

Inequality Plot :

2.3      Inequality plot for

        9.000 X  - 99.000  ≥  0

One solution was found :

x ≥ 11

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

21/7=3

Answer:

1970

Step-by-step explanation:

Answer: 98

Step-by-step explanation:

Answer:

272

Step-by-step explanation:

calculator

Answer:

(x,y)=(-1,-1)

Step-by-step explanation:

hope this helps!

Answer:

18x - 36

Step-by-step explanation:

In an equilateral triangle the 3 sides are congruent, then

perimeter = 6x - 12 + 6x - 12 + 6x - 12 ← collect like terms

                = 18x - 36

The required expression would be 18x - 36 for the perimeter of the triangle in simplest form.

The perimeter of a triangle is defined as the addition of the lengths of the triangle's three sides.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations is called the arithmetic operator.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

As we know in an equilateral triangle the 3 sides are congruent.

The perimeter of the triangle = 6x - 12 + 6x - 12 + 6x - 12

Combine the likewise terms and we get

The perimeter of the triangle =  18x - 36

Therefore, the required expression would be 18x - 36 for the perimeter of the triangle in simplest form.

Learn more about the perimeter of a triangle here:

brainly.com/question/24388271

#SPJ6

Answer:

-8r+2

Step-by-step explanation:

-3r + 4 - 5r - 2

Combine like terms

-8r+2

Answer:

negative 0.86

Step-by-step explanation:

Answer:

red

Step-by-step explanation:

Answer:

x=-2 and y=-3

Step-by-step explanation:

2x+4y=-16

-2(-2x+2y=-2)

2x+4y=-16

4x-4y=4

6x=-12

x=-2

2x+4y=-16

2(-2)+4y=-16

-4+4y=-16

+4        +4

4y=-12

y=-3

Answer:

x=-2

y=-3

Step-by-step explanation:

2x=-4y-16 subtract 4y and move to the other side of the equation

x=-2y-8 divide by 2 to isolate x

-2(-2y-8)+2y=-2 plug x into the second equation

4y+16+2y=-2 distribute

6y=-18 combine the Y's and subtract 16 to the other side

y=-3 divide both sides by 6

2x+4(-3)=-16 plug the y value into the first equation to find x

2x-12=-16 distribute (multiply)

2x=-4 add 12 to both sides

x=-2 divide by 2 to get the x value

Answer:

4

Step-by-step explanation:

you find it by base x width x height 4x4x4=64

Answer: y - 6 = -5/3 ( x + 2)

Step-by-step explanation:

slope = -5/3

point on line = (-2, 6)

Answer:

Triangle 1 -    [tex]\sqrt{29[/tex] (if they want simplest radical form) or 5.4 (if they want to the nearest tenth)

Triangle 2-    i couldnt figure this one out- may not be true

Pythagorean Theorem is...   C) true for all right triangles

Step-by-step explanation:

Answer:

lawns inc.

Step-by-step explanation:

y=10x+15 10(6) + 15 = 75

y=9x+20 9(6) + 20 = 76