Simplify the expression below using laws of exponents.

Answer:

Since dilation is not mentioned in the answer options, thus, the correct option is 'None of the above'.

Step-by-step explanation:

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

The figure seems to have enlarged by a certain scale factor. Thus, the figure b is a result of dilation of the original figure by a certain scale factor.

Rotation, Reflection, and translation do not affect the size of the original figure.

Since dilation is not mentioned in the answer options, thus, the correct option is 'None of the above'.

Answer:

I=12

Step-by-step explanation:

y=108

I=108/9

I=12

Answer:

Step-by-step explanation:

This is the proportional relationship

Let the equation be:

We have:

The required equation is:

Answer:

38 pages

Step-by-step explanation:

The cost per page is $1.50. So a book costing $57 would have 57 ÷ 1.50 = 38 pages

Answer:

online it said 38 pages so........:)

Step-by-step explanation:

Answer:

The price of each hamburger is $5 and the price of each drink is $3.

Step-by-step explanation:

Answer: 10/3 or 3 1/3

Step-by-step explanation:

Answer:2/15

Step-by-step explanation:

Answer:

Answer: c) S=20R+60

Step-by-step explanation:

Linear Model

The chart supplied shows the number of rows (R) in an auditorium and the total of seats (S).

We'll find the equation that relates them. The equation of a line can be expressed in the slope-intercept form:

S = mR + b

Where m is the slope and b is the intercept.

The slope is found by:

[tex]\displaystyle m=\frac{S_2-S_1}{R_2-R_1}[/tex]

We'll use two sample points (20,460) and (45,960):

[tex]\displaystyle m=\frac{960-460}{45-20}=\frac{500}{25}[/tex]

m = 20

The value of b can be found by using one of the points, for example (20,460), and having m=20:

460 = 20*20 + b

Thus: b = 460 - 400 = 60.

The equation is:

S = 20R + 60

You can test the other points and check they belong to the same line.

Answer: c) S=20R+60

Answer: 500 female students. 2:5 ratio for males means 200 male students. 500 female plus 200 male equals 700 students total. There are three teachers for every 35 students, so 700/35 multiplied by three equals 60 teachers.

Answer:

1.4

Step-by-step explanation:

Thanks plssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answer:

1) They were multiplied by one power of ten because 2.5x 1^10 is 25, and so that it is easier to divide.

19.625/ 2.5 * 10/10 = 196.25/25

Hope this helps plz hit the crown ;D

Step-by-step explanation:

log(z) is defined when z > 0.

For log(9 - x²) to be defined, we have 9 - x² > 0.

=> x² < 9, -3 < x < 3.

The domain of y = log(9 - x²) is (-3,3).

Answer:

1st or 3rd i think. hope this helps.

Answer:

Do you have insta cus if u do follow _l.bartlett

Step-by-step explanation:

1. x<-3

2. z[tex]\leq[/tex] -5

3. y<2

4. 3 [tex]\leq[/tex]x<7

Answer:

Yes

Step-by-step explanation:

Yes

Answer:

No, the answer is suppose to be 9.

Step-by-step explanation:

if you did 54 divided by 18 you would get 3. so if you do 54 divided by 3 you would get 18. then if you do 27 divided by 3 it would equal 9.

so therefore your answer will be 9.

please mark as brainly.

Answer:

28

Step-by-step explanation:

mm ya

Answer:

in the 1st row, one x^2 is positive while the other is negitive, making the total zero. also in the top row 8x+(-6x) = 2x, but in the 2nd row is says -2x, showing they are not the same. Also there is no -1/2 in the 2nd row like there is in the 1st row

Step-by-step explanation:

Answer:I think it is 84

Step-by-step explanation: 9.3 x 9

Answer:

1,302 triangles

Step-by-step explanation:

All triangles are formed by the intersection of three diagonals at three different points. There are five arrangements of three diagonals to consider. We classify them based on the number of distinct diagonal endpoints. We will directly count the number of triangles with 3, 4, and 5 endpoints. We will then count the number of potential triangles with 6 endpoints, then correct for the false triangles.

You can make 84 triangles with 3 diagonal endpoints, 504 triangles with 4 diagonal endpoints, 630 triangles with 5 diagonal endpoints, and 84 triangles with 6 diagonal endpoints. This adds up to be 1,302 triangles altogether.

Answer: C) All real values of x such that [tex]x \le 0[/tex]

In other words, x must be 0 or smaller.

===================================================

Explanation:

The reason why is because we must make the stuff under the square root to never be negative. We must make -2x be 0 or larger.

So,

[tex]-2x \ge 0 \\\\-2x+2x \ge 0+2x \ \text{ ... add 2x to both sides}\\\\0 \ge 2x\\\\2x \le 0 \ \text{ ... flip both sides, and the inequality sign}\\\\x \le 0/2 \ \text{ ... divide both sides by 2}\\\\x \le 0[/tex]

As an example, if x = -2, then -2x = -2(-2) = 4 is positive. Applying the square root to a positive number is valid.

But if x = 5, then -2x = -2*5 = -10 is under the square root, which is not allowed.

Answer:

( 3 , 7 )

Step-by-step explanation:

maybe this will help you

Answer:

3/20

Step-by-step explanation:

you multiply 1/4 and 2/5 to get the answer

Must be CD becuase the readious is what goes across

Answer:

(6,4)

Step-by-step explanation:

Midpoint=((x1+x2)/2 ,(y1+y2)/2)

((10+2)/2 ,(7+1)/2)

(6,4)

x1=10

x2=2

y1=2

y2=1

Answer:

false

Step-by-step explanation:

horizontal is left and right

Answer:

If the slope is positive it is increasing if the slope is negative it is decreasing :)

Example:

Y=mX+b

If m is positive it is a positive slope

Answer:

x= -1/5

hope this helps you

Answer:

x = - [tex]\frac{1}{5}[/tex], x = 5

Step-by-step explanation:

Given

[tex]\frac{x+1}{x-1}[/tex] - [tex]\frac{x-1}{x+1}[/tex] = [tex]\frac{5}{6}[/tex]

Multiply through by 6(x - 1)(x + 1) [ the LCM of the denominators ]

6(x + 1)² - 6(x - 1)² = 5(x - 1)(x + 1) ← expand factors and simplify

6(x² + 2x + 1) - 6(x² - 2x + 1) = 5(x² - 1)

6x² + 12x + 6 - 6x² + 12x - 6 = 5x² - 5

24x = 5x² - 5 ( subtract 24x from both sides )

0 = 5x² - 24x - 5 ← in standard form

0 = (x - 5)(5x + 1) ← in factored form

Equate each factor to zero and solve for x

5x + 1 = 0 ⇒ 5x = - 1 ⇒ x = - [tex]\frac{1}{5}[/tex]

x - 5 = 0 ⇒ x = 5

Answer:

7

Step-by-step explanation:

First ones 7 second ones 7 third ones 1/7 forth ones 1/7

Step-by-step explanation:

Because absolute value basically means the distance from zero so the  distance from zero from -7 is 7 the same with 7 and the distance from zero with -1/7 is you guested it 1/7 and follow suit for 1/7 and you got your answers

Hope this helps ;)

Answer:

x = 48°

Step-by-step explanation:

x + x + 84° = 180°

2x = 180° - 84°

2x = 96°

x = 96°/2

x = 48°

Answer:

84+2a=180

2a=180-84

= 96

2a=96/2

=48

So, each angles are 48 degrees.

If my answer is wrong, please inbox me! ≧ω≦

Answer:

[tex]x^{2}[/tex] - x - 24 = 0

a = 1

b = 1

c = -24

Step-by-step explanation:

(x + 4)(x - 5) = 4

x(x - 5) = [tex]x^{2}[/tex] - 5x

4(x - 5) = 4x - 20

[tex]x^{2}[/tex] - 5x + 4x - 20 = 4

[tex]x^{2}[/tex] - x - 20 = 4

[tex]x^{2}[/tex] - x - 20 - 4 = 0

[tex]x^{2}[/tex] - x - 24 = 0

a = 1

b = 1

c = -24

Answer:

29

Step-by-step explanation:

Each number has 4 in difference

Answer:

29

Step-by-step explanation:

25+4=29