what is the two common multiples of 15 and 20
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Transforming figure A into k requires some methods. Therefore, both reflection and rotation could be applied. Thus both students are right.

Rigid transformation is a method required in resizing or changing the orientation of a given shape. The types are: translation, reflection, rotation and dilation.

Considering figure A and its image k given in the question, transformation has occurred. Reflection is the process of flipping a given figure about a reference line or a point. Thus Kareem is right if A is turned over the line joining A and k.

Secondly, rotation implies turning a given shape through a certain angle to form its image. Thus if figure A is turned clockwise or counterclockwise about the mid point of the line joining A and k, then Amelia is right.

It can be said that both students could be right.

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Answer:

tex] \frac{(x {}^{6} - 2)}{(x { }^{ - 4} + 3)} [/tex]

Answer:

see explanation

Step-by-step explanation:

note that [tex]3^{p+1}[/tex] = [tex]3^{p}[/tex] × 3 ( when multiplying exponents are added )

Given

[tex]\frac{3^{p+1}-3^{p} }{2.3^{p} }[/tex] ← factor out [tex]3^{p}[/tex] on numerator

= [tex]\frac{3^{p}(3-1) }{2.3^{p} }[/tex]

= [tex]\frac{2.3^{p} }{2.3^{p} }[/tex]

= 1

Answer:

4

Step-by-step explanation:

It is the point on the y-axis that is on the line.

The ordered pair of the y-intercept is (0, 4).

The y-intercept is 4.

Answer:

The y intercept here would be positive 4

Hope That Helps!

Answer:

2,304in^3

Step-by-step explanation:

The formula for volume is [ b * l * h ]. We can use the values we are given to find the volume of both rectangles then add them both together.

12 * 12 * 6 = 864in^3

18 * 10 * 8 = 1,440in^3

Add them both together.

864 + 1440 = 2,304in^3

Best of Luck!

Answer:

[tex]v=s-u+t[/tex]

Step-by-step explanation:

Hi there!

[tex]s=u-t+v[/tex]

Our goal is to isolate v on one side of the equal sign.

Subtract u from both sides:

[tex]s-u=u-t+v-u\\s-u=-t+v[/tex]

Add t to both sides to isolate v:

[tex]s-u+t=-t+v+t\\s-u+t=v\\v=s-u+t[/tex]

I hope this helps!

Answer:

Step-by-step explanation:

Answer:

Answer is 3

Plz give brainiest answer

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Step-by-step explanation:

Domain of h(x) is

[tex]\Bbb{R}\backslash\{x=-3\}[/tex]

or equivalently,

[tex](-\infty,-3)\cap(-3,+\infty)[/tex]

since h(x) is undefined everywhere except when x=-3.

The range of f(x) is

[tex]\Bbb{R}[/tex]

or equivalently,

[tex](-\infty,+\infty)[/tex]

Answer:

-1

Step-by-step explanation:

Plug in all of the numbers for x. 1 is -5<-5 and -1 is -15<-5

Answer:

I think the most common color is blue .

Answer:

[tex](6x + 7)(8x - {170}^{0} ) \\ 6x + 8 x = - {170}^{0} - 7 \\ 14x = { - 177}^{0} \\ \frac{14x}{14} = \frac{ { - 177}^{0} }{14} \\ x = - 163 [/tex]

Answer:

Yes, both lines have a slope of −2,

so they are parallel.

Answer: 280 graduates per year

Step-by-step explanation:

the rate of change is the change in y (number of graduates) divided by the change in x (year).

So: [tex]\frac{8.9-7.5}{2010-2005} = 0.28[/tex] because this number is in thousands of graduates, multiply by 1000 to get 0.28*1000=280 graduates per year

Answer:

[tex]\frac{1.4}{5}[/tex]

Step-by-step explanation:

We have the coordinates (2005, 7.5) and (2010, 8.9). To find the rate of change we must use the equation [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] which is [tex]\frac{8.9-7.5}{2010-2005}[/tex]. To simplify that further, we get [tex]\frac{1.4}{5}[/tex] therefore the rate of change is 1.4 over 5.

Step-by-step explanation:

11. Angle A and B are supplementary (add to 180)

And measure of Angle A is 2x+30 and measure of angle B is 6x-12. All you have to do is make an algebraic expression.

180= (2x+30) + (6x-12)

Then just combine like terms and you get

8x+18=180.. Subtract 18 and you get

8x=162 then divide by 8 and you get

X=20.25

Then plug in the number and you get

180=(2*20.25+30)+(6×20.25-12)

Which is is transferred to

180=(70.5) +(109.5)

Which is 180=180.

The measure of angleA is 70.5°

You can try the other's if you want if not then

9. Value of x is 33.5

10. Measure of angleB 90°

12. Measure of angleA 24°

(im not writing that much again.)

Answer:

-8 and -6.

Step-by-step explanation:

Let the first even integer be a.

Since the second is a consecutive even integer, it is given by (a + 2).

Half of the smaller (i.e. a) is equal to two more than the larger (i.e. a + 2). In other words:

[tex]\displaystyle \frac{a}{2} = (a + 2) + 2[/tex]

Solve for a:

[tex]\displaystyle \begin{aligned}\displaystyle \frac{a}{2} &= (a + 2) + 2\\ \\ \frac{a}{2} &= a + 4\\ \\ a &= 2a + 8 \\ \\ a &= -8 \end{aligned}[/tex]

In conclusion, the two even, consecutive integers are -8 and -6.

Answer:

Step-by-step explanation:

Base = 8 * 8 = 64 square units

4 (8*6)/2 = 96 square units

64 + 96 = 160 square units

Answer:

19, 20, 21

Step-by-step explanation:

You can trial-and-error this where you test each answer out step-by-step or you can graph it and you'll see it will be a line for x = 21 and a shaded region to the left of that (if you get what I mean) and from there, any point on the line x = 21 or any point in the shaded region, will be a viable solution.

Simplifying,

[tex]-\frac{2}{3}s+13>=-1\\-\frac{2}{3}s>=-14\\\frac{2}{3}s=<14\\s=<21[/tex]

s ≤ 21

Answer:

21 is the solution to solve for x.  22 and 23.

Step-by-step explanation:

-1 - 13 = -14 / -2/3

x = 21

Answer:

[tex]8x - 5y = 30 + 2x \\ 8x - 2x = 30 + 5y \\ 6x = 30 + 5y \\ \\ x = \frac{30 + 5y}{6} \\ \\ x = \frac{30}{6} + \frac{5y}{6} \\ \\ x = 5 + \frac{5y}{6} [/tex]

I hope I helped you^_^

Answer:

x = -1

Step-by-step explanation:

Given: [tex]f(x) = - 3x + 3[/tex]

Solve for x, When: [tex]f(x) = 6[/tex]

Step by step:

[tex] - 3x + 3 = 6[/tex]

[tex] - 3x = 6 - 3[/tex]

[tex] - 3x = 3[/tex]

[tex]x = 3 \div - 3[/tex]

[tex]\boxed{\green{x = - 1}}[/tex]

Step-by-step explanation:

The difference between the height of CJ and Eric is 5 inches. It means the height of CJ is either 5 inches higher or 5 inches lower (-5 inches higher) than Eric.

Therefore, we can set up the equation,

[tex]|c-e|=5[/tex]

Alternatively, if we use CJ as the reference,

[tex]|e-c|=5[/tex]

Answer:

A would be 2

B would be 8

Step-by-step explanation:

It's a little hard to explain, but take the function and put it where the variable is. So, for "A" the equation would be [tex]f(1)=2^1[/tex]

(e) it is the last one........

Answer:5

Step-by-step explanation: the middle is 2 and 3 so since there is 2 numbers add them and you get 5.

The mean of the normal distribution represented by the data is 4.5.

None of the given options is correct.

In mathematics and statistics, the term "mean" refers to the average of a set of variables. There are various ways to determine the mean, including geometric means, harmonic means, and simple arithmetic means (putting the numbers together and dividing the result by the number of observations).

The mean of the normal distribution represented by the given data can be computed as follows:

Find the sum of the values:

sum = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36

Divide the sum by the total number of values to obtain the mean:

mean = sum / n = 36 / 8 = 4.5

Therefore, the mean of the data is 4.5.

To learn more about the mean;

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