What is a reflection of a geometric shape

Scale factor is  [tex]\frac{14}{21}[/tex].

A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.

Given

The rectangle on the right is a scaled copy of the rectangle on the left.

[tex]\frac{42}{63}[/tex] and 15 ÷ [tex]\frac{45}{2}[/tex]

[tex]\frac{42}{63}[/tex]

Rationalizing [tex]\frac{42}{63}[/tex] by 45

= [tex]\frac{42(45)}{63(45)}[/tex]

= [tex]\frac{1890}{2835}[/tex]

15 ÷ [tex]\frac{45}{2}[/tex]

Rationalizing 15 ÷ [tex]\frac{45}{2}[/tex] by 63

= [tex]\frac{30(63)}{45(63)}[/tex]

=  [tex]\frac{1890}{2835}[/tex]

If we want to find the scale factor we have to equal the proportions of two rectangles.

∴ Scale factor =  [tex]\frac{1890}{2835}[/tex] = [tex]\frac{14}{21}[/tex]

Hence, scale factor is  [tex]\frac{14}{21}[/tex].

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Answer:

d

Step-by-step explanation:

took the test

2x³ + xy and 2 + 5x - 3x³ are trinomials with degree 3.

Options C and D are the correct answer.

Polynomial is an equation written with terms of the form kx^n.

where k and n are positive integers.

There are quadratic polynomials and cubic polynomials.

Example:

2x³ + 4x² + 4x + 9 is a cubic polynomial.

4x² + 7x + 8 is a quadratic polynomial.

We have,

The degree of a polynomial is the highest power of the variable in the polynomial.

a.

2xy² is a monomial with degree 3 (degree of x is 1 and degree of y is 2).

b.

3x + 3x² is a binomial with degree 2 (degree of x is 2).

c.

2x³ + xy is a trinomial with degree 3 (degree of x is 3).

d.

2 + 5x - 3x³ is a trinomial with degree 3 (degree of x is 3).

Therefore,

2x³ + xy and 2 + 5x - 3x³ are trinomials with degree 3.

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The question is incomplete. Here is the complete question.

Mr. Jackson decides to build a planter in the shape of a cube fo rhis wife. The top of the planter will be open so his wife can plant and water her flowers. The perimeter of the bottom of the planter is 12 feet.

How many square feet of material does Mr Jackson need to build the planter?

(a) 27 square feet

(b) 45 square feet

(c) 60 square feet

(d) 720 square feet

Answer: 45 square feet

Step-by-step explanation: A cube is a regular solid with six square faces.

Square is a quadrilateral with 4 right angles and 4 equal sides. So a cube is solid formed by 6 squares.

Perimeter is the sum of all the sides. For a square, perimeter is given by

P = 4s

Then, side of the bottom is

[tex]s=\frac{P}{4}[/tex]

[tex]s=\frac{12}{4}[/tex]

s = 3

Area of a square is

[tex]A=s^{2}[/tex]

[tex]A=3^{2}[/tex]

A = 9

The planter is a cube with 5 faces, because the top is open. Then, total area is

[tex]A_{t}=9+9+9+9+9[/tex]

[tex]A_{t}=[/tex] 45

Mr Jackson will need 45 square feet of material to build the planter.

Answer:

45 feet

Step-by-step explanation: A cube is a regular solid with six square faces.

Square is a quadrilateral with 4 right angles and 4 equal sides. So a cube is solid formed by 6 squares.

Perimeter is the sum of all the sides. For a square, perimeter is given by

P = 4s

Then, side of the bottom is

s = 3

Area of a square is

A = 9

The planter is a cube with 5 faces, because the top is open. Then, total area is

45

Mr Jackson will need 45 square feet of material to build the planter.

Answer:

v= -3 and v= 11

Step-by-step explanation:

v^2 - 8v -33 = 0

v^2-11v+3v-33=0

v(v-11) +3(v-11)=0

(v+3)(v-11)=0

v+3=0          and          v-11=0

v=-3                              v=11

Answer:

The number expected to be cheese are 42 Pizzas

Step-by-step explanation:

According to the information provided, the total choices of Pizza at a local pizza shop are as follows:

Pizza                Choice

Peperoni             11

Supreme              7

Cheese                6

Hawaiano            3

Total                    27

The total pizza sold were 189, out of which the number expected to be cheese will be calculated by dividing the total number of choices and multiplying it with the required type of pizza chosen. This is done as follows:

189 / 27 * 6 = 42 Cheese Pizza

Answer:

The time it will take is 8hours 45mins.

Step-by-step explanation:

Since y = –240x represents a submarine descent. We are looking for how long, that is the time, it will take for the submarine to make a descent of 2100. We know that y is the elevation, if it is descending it will be in the negative direction, making it -ve.

A descent of 2100 means y = –2100. Hence,

–2100 = –240x

x = –2100/–240 = 8.75hours = 8hours 45minutes. (0.75hours = 3/4hours = 3/4 x 60mins = 45mins).

Answer:

c. 80

Step-by-step explanation:

cos x = sin(x-70)

cos x = cos [90-(x-70)]

cos x = cos (90-x +70)

cos x = cos 160 -x

x= 160-x

2x = 160

x =80

9514 1404 393

Answer:

  y = 3x + 4

Step-by-step explanation:

The given line is in the form ...

  y = mx + b

where m is the slope (3) and b is the y-intercept (-1).

The parallel line will have the same slope. The given point (0, 4) is the y-intercept, so the desired equation is ...

  y = 3x +4

Answer:

2 and 1/2

Step-by-step explanation:

(the first one)

Answer:

14

Step-by-step explanation:

Answer:

the answer is X = 14

Step-by-step explanation:

So you need to single out the X

You do this by doing the opposite of X,

right now X is being multiplied by 14

The opposite of Multiplaction is division

That means you divide X by 14

But dont forget, what you do one side you do to the other.

This means you also Divide 196 by 14

196 ÷ 14 = 14

meaning X = 14

Answer:

When a company borrows money it is better to have a low interest rate. The lower the interest rate, the less amount of money the company has to pay back as interest on the loan.

Step-by-step explanation:

Is it better to have a higher interest rate when a company borrows money or to have a lower interest rate?

Answer:

A B and C are true

Step-by-step explanation:

Answer:

-10x + y = 64

Step-by-step explanation:

hope it helps

Answer:

y=2/3x-1

Step-by-step explanation:

slope intercept form is y=mx+b

where m is the slope and b is the y-intercept

You already know that the slope is 2/3 and the intercept is -1 so all you have to do is plug it in

y=2/3x-1

Answer:

A,B,G

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

g(-4)=-20-5 or -25

f(g(4)=-2(-25)+5 or 50+5

Answer:

s<11

Step-by-step explanation:

44>7+s+26

Switch sides:

7+s+26<44

Group like terms:

s+7+26<44

Add the numbers:7+26=33

s+33<44

Subtract 33 from both sides:

s+33-33<44-33

Simplify:

s<11

Answer:

378,917.15

Step-by-step explanation:

Annual compound interest formula:

[tex]AV=PV(1+i)^n\\\\AV=135000(1+.035)^{30}\\\\135000*2.8067937047=378917.15[/tex]

Answer:

21060

Step-by-step explanation:

19500÷100=195

195×8=1560

1560+19500=21060

Answer:

answer is 7898tI don't know either thank very much for the points though

9514 1404 393

Answer:

Step-by-step explanation:

We have to assume that the image of B is the large dot at upper right. We further have to assume that the distance between dots on the line segment is equal to CB.

The scale factor multiplies the distance from C. That distance has been multiplied by 5, so the scale factor is 5.

Answer:

B

Step-by-step explanation:

A number increased by 7 means, 7 was added to the number and the result is 15