A rectangle has a width of (3x² – 5x – 2) units and a length of (2x² + 12x - 4) units. Create a simplified expression of the form ax+ bx + c for the perimeter of the rectangle.

Perimeter = ........... units ​

Answer:

A reflection across the Y-axis

Step-by-step explanation:

The single transformation can map figure PQRS onto image P'Q'R'S' is a reflection.

Given that, the coordinates of figure PQRS are P(2,2) Q(5,2) R(5,6) and S (2,6) and the coordinates of the image P'Q'R'S' are P'(-6,2) Q'(-3,2), R'(-3,6) and S' (-6,6).

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and image, after transformation, refers to the object's ultimate shape and location.

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point.

The figure PQRS is reflected on the y-axis and translated left to 1 unit.

Therefore, the single transformation can map figure PQRS onto image P'Q'R'S' is a reflection.

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Answer:

G=2H+6. -(1)

Also, G and H are supplementary angles which mean their sum would be180.

G+H=180

G=180-H. -(2)

From (1)&(2)

2H+6=180-H

3H=174

H=58

Hope it helps :-)

Answer:

Length of the garden = 13 ft

Width of the garden = 9 ft

Step-by-step explanation:

Let the length of my new garden = l ft

It's given in the question,

width of the garden = 9 ft

Formula to calculate the perimeter of a rectangle is,

P = 2(L + W)

Where L = length of the garden

W = width of the garden

P = perimeter of the garden

Length of the fence = 44 ft

By substituting values in the formula,

44 = 2(l + 9)

22 = l + 9

l = 22 - 9

l = 13 ft

Therefore, length of my new garden = 13 ft

Width of the garden = 9 ft

Answer:

25.3

Step-by-step explanation:

I just put it in my calculator.

Answer:

B. (-3.5, 1.25)

Answer:

x= 12 y= 9

Step-by-step explanation:

x+29=3x+5

-x

29=2x+5

-5

2x=24

/2 /2

x=12

12+29=41

180-41= 139+5= 144÷16=9

Answer:

see below

Step-by-step explanation:

The domain is the input values

The domain is the resistance values

D: { 4,6,48,80,120}

The range is the output values

The range is the current values

R : { .1,.15,.25,2,3)

Answer:

a=5

x=4

ax+3=23

5×4+3=23

Step-by-step explanation:

Answer:

30 weeks

Step-by-step explanation:

7.25 x 20 = 1 WEEK

1 WEEK= 145$

4,350 divided by 145=30

30 weeks

Answer:

Perimeter = 6x² + 8x

Step-by-step explanation:

Perimeter = 2(length + width)

perimeter = 2((x²+x)+(2x²+3x))

perimeter = 2(x²+2x² + x+3x)

perimeter = 2(3x² + 4x)

perimeter = 2*3x² + 2*4x

perimeter = 6x² + 8x

Answer:

1,900

Step-by-step explanation:

Answer:

1900 is my pick

Step-by-step explanation:

Answer:

The answer is C. 8

Step-by-step explanation:

First we should reorganize the data set so that it is easier to see the mode:

0, 1, 2, 2, 5, 7, 8, 8, 8, 9

Since mode is the value that occurs the most, we just have to look at the data set and find out which value here occurs the most:

0 - Once

1 - Once

2 - Twice

5 - Once

7 - Once

8 - Thrice

9 - Once

From this we can see that the value 8 occurs the most.

Therefore, the answer is C. 8

Answer:

h= -28

Step-by-step explanation:

h+14=-14

 -14    -14

h= -28

-18 + x = -11

Let's add 18 to both sides

x = 7

Answer:

7

Step-by-step explanation:

Step 1:

- 18 + x = - 11

Step 2:

x = - 11 + 18

Answer:

x = 7

Hope This Helps :)

infinitive

Step-by-step explanation:

The system of equations represents the dependent because the solution to the system of equations has infinitely many solutions.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The system of equations are:

5x + y = 2

2y = 4 − 10x

The system of equations can be written as:

5x + y = 2 ..(I)

10x + 2y = 4 ...(II)

In equation (II) divide by 2

5x + y = 2 ..(III)

Equations (I) and (III) represent the same equation:

The system of equations represents the Dependent because the solution to the system of equations has infinitely many solutions.

Thus, the system of equations represents the dependent because the solution to the system of equations has infinitely many solutions.

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Answer:

Step-by-step explanation:

When it comes to angles, the term "adjacent" means different things in different contexts. Any pair of angles in a triangle are considered to be adjacent. The base angles of an isosceles triangle are adjacent congruent angles.

Angles at successive corners of any regular polygon are congruent adjacent angles.

Angle that have a common vertex and a common side are also called adjacent angles. Angles on either side of an angle bisector are adjacent congruent angles. Likewise any non-vertical pair of angles where lines cross at right angles are adjacent congruent angles.

Answer: 16,000,000 years

Step-by-step explanation:

The question already states the formula for time so

1600/0.0001= 16,000,000

Answer:

25n

25*n

Step-by-step explanation:

let n represent the number of students

Answer:

Step-by-step explanation:

9a - 8 = 2a - 2b

7a - 8 = -2b

7a = 8 - 2b

a = (8 - 2b)/7

Answer:

c) 25

Step-by-step explanation:

[tex] \because \: l \parallel m \\ \therefore \: 3x \degree = (2x + 25) \degree ..(alternate \: \angle 's)\\ 3x = 2x + 25 \\ 3x - 2x = 25 \\ \huge \orange{ \boxed{x = 25}}[/tex]

Answer:

Spam answer

Step-by-step explanation:

c) 25

Answer:  

Step-by-step explanation:

x  ← a number

x³  ← the cube of the number

|x³|  ← the absolute value of the cube of the number

|x³| + 5    ← 5 more than the absolute value of the cube of the number

Answer:

42 feet

Step-by-step explanation:

y=mx+b

y=9x+6

9•4 =36 +6= 42

42=(9•4)+6

Answer:

20m/s

Step-by-step explanation:

[tex]Speed=Distance\div Time[/tex]

[tex]Speed=100m \div 5s[/tex]

[tex]Speed = 20m/s[/tex]

Answer:

B, C, D

Step-by-step explanation:

Answer:

C. c = 8

Step-by-step explanation:

Step 1: Write equation

7 - 3c = -17

Step 2: Subtract 7 on both sides

-3c = -24

Step 3: Divide both sides by -3

c = 8

Answer:

C)8

7-3c=-17

-3c= -24

c=8

Answer:

your answer will be 149/month

Step-by-step explanation:

you wanna ask urself how many months are in 5 years

The answer is: 60 months

then, you wanna divide the cost of the car over 60 months

So:

[tex]$8950/60=149.166[/tex]

round that to the nearest dollar AKA the ones

it'll be 149

and don't forget the unit of time

which is month

$149/month