Simplify the expression above

Answer:

A. -2, x= -2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Given

- 12x - 2(x + 9) = 5(x + 4) ← distribute parenthesis on both sides )

- 12x - 2x - 18 = 5x + 20 , that is

- 14x - 18 = 5x + 20 ( subtract 5x from both sides )

- 19x - 18 = 20 ( add 18 to both sides )

- 19x = 38 ( divide both sides by - 19 )

x = - 2 → A

Answer:

m∠2=65

Step-by-step explanation:

They are corresponding angels which means they are congruent.

Answer:

[tex]y=\frac{3}{2}x-\frac{15}{2}[/tex]

Step-by-step explanation:

Use the point-slope formula [tex]y-y_{1}=m(x-x_{1})[/tex]

First you have to find m with the formula [tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

[tex]m = \frac{9 - 6}{11 - 9} = \frac{3}{2}[/tex]

Choose whichever point you want as [tex](x_{1}, y_{1})[/tex], in this case I'll choose [tex](9, 6)[/tex]

[tex]y - y_{1} = m(x - x_{1})\\y - 6 = \frac{3}{2} (x - 9)\\y - 6 = \frac{3}{2}x - \frac{27}{2} \\y = \frac{3}{2}x - \frac{27}{2} + 6\\y = \frac{3}{2}x - \frac{15}{2}[/tex]

Answer:

15

Step-by-step explanation:

one side is equal to 5. So 5 ×3

Answer:

x = (√6/√5) - 1

Step-by-step explanation:

- 10 x = 5x^2 -1

can be written as

5x² + 10x - 1 = 0

completing the square method :

for quadratic equation of the format ax² + bx + c = 0 ,

step 1, divide equation by a

therefore. dividing the equation by 5

=> x² + 2x - (1/5) = 0

=> x² + 2x = 1/5

c - 2b/4 = -1/5 - (2(2)/4) = -(6/5)

b/2 = 1

=> x² + 2x +1 = 6/5

=> (x + 1)² = 6/5

=> x = (√6/√5) - 1

Answer:

¾x + 7

Step-by-step explanation:

"The sum of": Addition expression

"¾ of a number": ¾x

"and 7": + 7

Combine them all and you get ¾x + 7

The tree grows linearly, then the tree grows each year will be 20 inches.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The height of a tree is 38 inches.

After 4 years, the height is 9 feet 10 inches.

1 ft = 12 inches

9 ft = 180 inches

Then 9 ft and 10 inches will be

→ 108 + 10

→ 118 inches

The tree grows in 4 years and will be

→ 118 - 38

→ 80 inches

Let the tree grows linearly, then the tree grows each year will be

→ 80 / 4

→ 20 inches

More about the linear system link is given below.

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Answer:

-2x/100 + 35

Step-by-step explanation:

Step 1:

12x ÷ 100 + 35,000 - 14x ÷ 100

Step 2:

- 2x ÷ 100 + 35,000 ÷ 100

Step 3:

- 2x ÷ 100 + 35

Answer:

- 2x/100 + 35

Hope This Helps :)

Answer:

y= 1/4x + 8

comparing with

y= mx + c

slope = 1/4

for y intercept x=0

y=8

Step-by-step explanation:

The slope of the line is 1/4, The y-intercept is 8.

In the equation y = (1/4)x + 8, the coefficient of x is 1/4. This coefficient represents the slope of the line.

Therefore, the slope of the line is 1/4.

The equation is in the form y = mx + b, where m represents the slope and b represents the y-intercept.

In this equation, the y-intercept is the value of y when x is 0. By substituting x = 0 into the equation, find the y-intercept.

y = (1/4)(0) + 8

= 0 + 8

= 8

Hence, the y-intercept is 8.

To know more about line here

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The answer is (-2,5.5)

Step-by-step explanation:

Hope this helps

Answer: x^2+2x-8<0

Step-by-step explanation:

A. x^2 - 2x - 8 < 0

(x - 4)(x + 2) < 0

B. x^2 + 2x - 8 < 0

(x + 4)(x - 2) < 0

C. x^2 - 2x - 8 > 0

(x - 4)(x - 2) > 0

D. x^2 + 2x - 8 > 0

(x + 4)(x - 2) > 0

When you test a point in the interval between -4 and 2, for example 0, it is negative.

[tex]x^2+2x-8 < 0[/tex] represents the given solution set.

A mathematical expression in which left hand side is not equal to right hand side is known as inequality.

The given solution set is x>-4 and x<2

Option A: [tex]x^2-2x-8 < 0[/tex]

(x+2)(x-4)<0

x<-2 and x<4

Option B: [tex]x^2+2x-8 < 0[/tex]

(x-2)(x+4)<0

x<-4 and x<2

Option C: [tex]x^2-2x-8 > 0[/tex]

(x+2)(x-4)>0

x>4 and x>-2

Option D: [tex]x^2+2x-8 > 0[/tex]

(x-2)(x+4)>0

x>-4 and x>2

Hence, [tex]x^2+2x-8 < 0[/tex] represents the given solution set.

Learn more about inequality here:

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Answer:

Yes

Step-by-step explanation:

Short cut: write down the recurring digitswrite a 9 for each recurring digit.

Answer:

-11=x

Step-by-step explanation:

2/5x-3.6 is the simplified when you DISTRIBUTE 2/5 multiplying both parts of the parentheses. Add 3.6 to both sides 2/5x=-4.4 then 2x=-22, x=-11

Answer:

m=6

Step-by-step explanation:

Answer:

110 Degrees

Step-by-step explanation:

Subtract 150 from 40

Answer:

It is C

Step-by-step explanation:

Got it right in edg

Answer:

A piece of charcoal was unearthed at an archeological site and found to contain 10% of its original carbon-14. The half-life of carbon-14 is 5,730 years. This means that after 5,730 years, only half of the original amount of carbon-14 will remain.  Which equation can be solved to determine the age of the charcoal?

C on edg

Step-by-step explanation:

Answer: -36

Step-by-step explanation:

To evaluate the expression, you want to plug in r to solve.

-40(-31-16(-2))²+(-2)²              [parenthesis]

-40(1)²+(-2)²                             [exponent]

-40+4                                       [add]

-36

Now we know the expression is equal to -36 when r=-2.

Answer:

for -11, 28. for 11, -38

Step-by-step explanation:

Typos in your question. can't tell if you need -11 or pos 11

-3(-11)-5 = 33-5= 28

-3(11)-5 = -33-5 = -38

Answer:

0.00484

Step-by-step explanation:

1. 5/6

2. 7/8

3. 1/2

4. 5/4

5. 4/5

6. 5/4

7. 11/12

8. 5/4

9. 11/12

10. 2/3

11. 13/20

12. 1/12

13. 7/22

14. 7/18

15. 2/3

16. 5/12

17. 5/12

18. 3/8

Answer:

x= -1

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

3x+2(x-9)=8x+x-14 ;; equation

simplify the equation to the form

3x+2(x-9)=8x+x-14

reorder the terms in parentheses

3x+(+2x-18)=8x+x-14

remove unnecessary parentheses

+3x+2x-18=+8x+x-14

move all terms containing x to the left and all other terms to the right.

+3x+2x-8x-1x=-14+18

simplify left and right side of the equation.

-4x=+4

divide both sides of the equation by -4 to get x.

x=-1

Answer:

88

Step-by-step explanation:

if the decimal is below 5 then round down

Answer:

88

Step-by-step explanation:

2 is less than 5, therefor it would be rounded to 88. If a number higher than five or five was in two's place it would be rounded to 89.

Answer:

  A) inches: 1.5, 1.2, 3.0, 3.9

  B) km 72, 46.25, 340, 101.5

Step-by-step explanation:

A) To find the distance in inches, divide by 10 miles:

  15 miles ⇒ 1.5 inches

  12 miles ⇒ 1.2 inches

  30 miles ⇒ 3.0 inches

  39 miles ⇒ 3.9 inches

__

B) To find the distance in km, multiply the map distance by 5.

  14.4 in ⇒ 72 km

  9.25 in ⇒ 46.25 km

  68 in ⇒ 340 km

  20.3 in ⇒ 101.5 km

Answer:

Length: 7

Width: 4

Step-by-step explanation:

We can create a system of equations for this problem, where [tex]w[/tex] is the width and [tex]l[/tex] is the length.

The perimeter of a rectangle is twice its length added to twice its width.

[tex]2l+2w=22[/tex]

The length is 3 more than the width:

[tex]l = w+3[/tex]

We can now substitute in [tex]w+3[/tex] as [tex]l[/tex] in the equation [tex]2l+2w=22[/tex].

[tex]2(w+3) + 2w = 22[/tex]

Distribute the first terms:

[tex]2w+6+2w=22[/tex]

Combine like terms:

[tex]4w+6=22[/tex]

Subtract 6 from both sides:

[tex]4w=16[/tex]

Divide both sides by 4:

[tex]w = 4[/tex]

Now we know that w = 4. We can now substitute this inside an equation to find [tex]l[/tex].

[tex]l = w+3\\\\l = 4+3\\\\l=7[/tex]

Hope this helped!

Answer:

What the other guy said XDDDDDDDDDD

Step-by-step explanation:

I'm awesome =D

ECH is an acute angle.

FCG is also an acute angle.

Answer:

Vertical angles

Step-by-step explanation:

Vertical angles are angles formed by two intersecting lines, which the angles are facing the opposite direction. Also the angles are on the same vertice (point).

Answer:

The answer is

Step-by-step explanation:

To find an equation of a line given a point and slope we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is (-2,-2) and slope = 1/2

The equation of the line is

[tex]y + 2 = \frac{1}{2} (x + 2) \\ y + 2 = \frac{1}{2} x + 1 \\ y = \frac{1}{2} x + 1 - 2[/tex]

We have the final answer as

[tex]y = \frac{1}{2} x - 1[/tex]

Hope this helps you

Answer:

A subtract 0.03

Step-by-step explanation:

This is because when she rounded $24.97 to $25.00 she added $0.03 cents so she needs to subtract that amount to get the exact number.