Point A is located at (3, -5). After it is transformed, point A' is located at (3, 5). How was the point transformed?

A. It was reflected in the x-axis.
B. It was rotated 90° around the origin.
C. It was reflected in the y-axis.
D. It was rotated 180°.

Answer:

Zero

Step-by-step explanation:

To find the additive inverse, you merely change the sign of the number

For Example 5 {5 is the number} + (-5) {-5 is the additive inverse} = 0.

i.e. 6 + (-6) = 0

i.e (-7) + 7 = 0

Answer:

slope = - [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (4, 0) and (x₂, y₂ ) = (- 2, 8)

m = [tex]\frac{8-0}{-2-4}[/tex] = [tex]\frac{8}{-6}[/tex] = - [tex]\frac{4}{3}[/tex]

Check the picture below.

Answer: 4 meters per sec.

Answer:

B. Triangles are similar if two corresponding angles in each triangle are the same measure.

Step-by-step explanation:

If two pairs of corresponding angles are congruent, then that makes the triangles similar to each other, by the Angle-Angle Similarity Postulate.

* This is definitely a genuine statement!

I am joyous to assist you anytime.

Answer:

8[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Given

4[tex]\sqrt{2}[/tex] + 7[tex]\sqrt{2}[/tex] - 3[tex]\sqrt{2}[/tex]

Factor out [tex]\sqrt{2}[/tex] from each term

= [tex]\sqrt{2}[/tex](4 + 7 - 3) = 8[tex]\sqrt{2}[/tex]

Answer: x is 2

Step-by-step explanation:

Add the 1 to 7 and get 8 then 4x=8 then divide 4 into 8 and x=2 to plot it on the line just go to 2 I’m guessing

Answer:

x=2

Step-by-step explanation:

Good evening ,

______

Answer:

[tex]\frac{183-97i}{89}[/tex]

____________________

Step-by-step explanation:

(11-19i)/(8-5i)

=(11-19i)(8+5i)/(8-5i)(8+5i)

=(88+55i-152i+95)/(8²+5²)

=(183-97i)/89.

:)

Answer:

20, 60, 15

Step-by-step explanation:

Let the third number be n, then

The first number is n + 5 and the second number is 4n

Sum the 3 numbers and equate to 95, that is

n + 5 + 4n + n = 95 ← collect like terms on left side

6n + 5 = 95 ( subtract 5 from both sides )

6n = 90 ( divide both sides by 6 )

n = 15

Thus

The first number is 15 + 5 = 20

The second number is 4 × 15 = 60

The third number is 15

Answer:

18 cherries

Step-by-step explanation:

45 lemon pieces

40 lemons=16 cherries

5 lemons=2 cherries

Answer:

60+12

Step-by-step explanation:

5x12=60

Answer:

12 and 60

Step-by-step explanation:

Create an equation to solve:

x + 5x = 72

6x = 72 combine like terms

x = 12 divide both sides by 6

the first number is 12

then the other number is 5 times this one

12 x 5 = 60

ANSWER: 12 & 60

Check your work:

12 + 60= 72

Answer:

about 7.4 miles

exact is 7.44 miles

Step-by-step explanation:

0.62×12=7.44

Answer:

The correct answer is A. Two inches.

Answer:

B. 7 hours

Step-by-step explanation:

Since the question states "at this rate" , this could be worked out by using simple proportion.

120miles = 3hours

280miles = ?

(280x3)/120 = 7 hours

It will take 7 hours to drive 280 miles.

Speed shows us how quickly or slowly an item is moving by converting distance to time. It gives the amount of time it took to travel a certain distance divided by the distance travelled.

Speed is inversely correlated with time and directly correlated with distance. As a result, distance equals speed times time, and time equals distance divided by speed; as speed rises, distance travelled will shorten, and vice versa.

Given:

Distance = 120 miles

Time= 3 hours

Now, using

speed= Distance / time

speed = 120/ 3

speed= 40 miles / h

Now, for distance 280 miles

time= Distance / speed

time = 280 / 40

time = 7 hours

Hence, it will take 7 hours to drive 280 miles.

Learn more about speed- distance formula here:

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Answer:

x = 3

Step-by-step explanation:

First open the brackets. While opening brackets, you've to be careful about signs. So when you open bracket of (15-x), there's negative sign in front of it, so it makes the signs inside the brackets to change. Then you solve the it.

Answer: x=3

Step-by-step explanation:Step 1: Simplify both sides of the equation.

(8x-11)-(15-x)=1

(8x-11)+-1(15-x)=1 (distribute the negative sign)

8x+-11+-15+x=1

8x+x+(-15+-11)=1 (combine like terms)

9x+-26=1

Step 2: Add 26 to both sides

9x-26+26=1+26

9x=27

Step 3: Divide both sides by 9.

9x/9=27/9

x=3

8x + 6 = m<4

m<4 = 180 - 118 = 62

8x + 6 = 62

8x = 56

x = 7

Answer:

The first one is 35 5/6. The second is 8 1/3

Step-by-step explanation:

5/1 * 7 3/6

= 5/1 * 45/6

=215/6

= 35 5/6

3 1/3 * 2 2/4

= 10/3 * 10/4

= 100/12

= 8 1/3

Answer:

Last option: It is not a function because there are two different y-values for a single x-value.

Step-by-step explanation:

It is necessary to remember that, by definition, a relation is a function if each input value (x-value)  has one and only one output value (x-value) .

In this case, the following points:

[tex](-2, -5), (- 1, 3), (1, -2), (3, 0), (4,- 2), (4, 4)[/tex]

You can observe that the input value 4 ([tex]x=4[/tex]) has two ouput values. These are:

[tex]y=-2\\\\ y=4[/tex]

Therefore, since there are two different y-values for a single x-value, you can conclude that the given graph is not a function.

Answer:

t represents time, which is the input of the function, so we know that 10 is the time in minutes. h(t) represents the altitude, which is the output of the function after time, t. So, we need to substitute 10 into 210 – 15t in place of t. Simplifying 210 – 15(10), we get  that 60 is the altitude in feet. So, after 10 minutes, the hot air balloon is at 60 feet.

Step-by-step explanation:

(This is the answer form the assignment if it helps)

Final answer:

The calculation 4.629 + 78.2 - 57, when rounded to the appropriate number of significant figures, results in 25.8. This takes into account the number with the least decimal places in the original equation.

Explanation:

To solve the calculation 4.629 + 78.2 - 57 with the appropriate number of significant figures, follow these steps:

Add 4.629 to 78.2 to get 82.829.

Subtract 57 from 82.829 to get 25.829.

When considering significant figures, the least number of decimal places in the given numbers is one (in the number 78.2), which means our final answer should also be rounded to one decimal place. Therefore, the correct answer, rounded and with the appropriate number of significant figures, would be 25.8.

18x^4+72x^3 is the answer to your question

Answer: 9x^2(2x^2+8x)

2x^2 8x

9x^2. 18x^4 72x^3

18x^4 + 72x^3

Step-by-step explanation:

Check the picture below.

Answer:

y= 2x + 0.5

Step-by-step explanation:

Answer:

The answer to your question is: -17°C

Step-by-step explanation:

Data

Initial temperature = 7°C at 3:00 pm

Temperature drops 6°C every hour

Temperature at 7:00 pm

Process             Temperature

3:00                          7°C

4:00         -6°C           1°C      

5:00         -6°C          -5°C

6:00         -6°C          -11°C

7:00          -6°C          -17°C

Answer:

Step-by-step explanation:

-3x -2 = 19

+3x +3x

-2 = 19 + 3x

-19 -19

-21 = 3x

Divided by 3

-7 = x

Answer:

3

Step-by-step explanation:

first mulitply 2×2 then add 3 it equals in total 7. then subtract 7-4 and your final answer is 3.

[tex]\bf \stackrel{\mathbb{P~~E~~M~~D~~A~~S}}{6-(5-(3\times 2-3))\implies 6-(5-(\stackrel{\downarrow }{6}-3))\implies 6-(5-(\stackrel{\downarrow }{3}))} \\\\\\ 6-(\stackrel{\downarrow }{2})\implies 4[/tex]

There are 120 numbers between 650 and 780 that leave remainders of 4 when divided by 7 and remainders of 6 when divided by 11.

To find the numbers between 650 and 780 that leave remainders of 4 when divided by 7 and remainders of 6 when divided by 11, we can analyze the problem systematically.

For a number to leave a remainder of 4 when divided by 7, it must be of the form [tex]\(7k + 4\)[/tex].

Similarly, for a number to leave a remainder of 6 when divided by 11, it must be of the form [tex]\(11m + 6\).[/tex]

We need to find the intersection of these two sets of numbers between 650 and 780.

Let's start by finding the smallest number of the form \(7k + 4\) greater than or equal to 650:

[tex]\[7k + 4 \geq 650\][/tex]

[tex]\[7k \geq 646\][/tex]

[tex]\[k \geq \frac{646}{7} \approx 92.2857\][/tex]

Since [tex]\(k\)[/tex] must be an integer, the smallest integer greater than or equal to [tex]\(92.2857\)[/tex] is 93.

So, the smallest number of the form [tex]\(7k + 4\)[/tex] greater than or equal to 650 is [tex]\(7 \times 93 + 4 = 655\).[/tex]

Now, let's find the largest number of the form [tex]\(7k + 4\)[/tex] less than or equal to 780:

[tex]\[7k + 4 \leq 780\][/tex]

[tex]\[7k \leq 776\][/tex]

[tex]\[k \leq \frac{776}{7} \approx 110.857\][/tex]

Again, since [tex]\(k\)[/tex] must be an integer, the largest integer less than or equal to [tex]\(110.857\)[/tex] is 110.

So, the largest number of the form [tex]\(7k + 4\)[/tex] less than or equal to 780 is [tex]\(7 \times 110 + 4 = 774\).[/tex]

Next, let's find the smallest number of the form [tex]\(11m + 6\)[/tex] greater than or equal to 650:

[tex]\[11m + 6 \geq 650\][/tex]

[tex]\[11m \geq 644\][/tex]

[tex]\[m \geq \frac{644}{11} \approx 58.5455\][/tex]

Since [tex]\(m\)[/tex] must be an integer, the smallest integer greater than or equal to [tex]\(58.5455\)[/tex] is 59.

So, the smallest number of the form [tex]\(11m + 6\)[/tex] greater than or equal to 650 is[tex]\(11 \times 59 + 6 = 655\).[/tex]

Finally, let's find the largest number of the form[tex]\(11m + 6\)[/tex]less than or equal to 780:

[tex]\[11m + 6 \leq 780\][/tex]

[tex]\[11m \leq 774\][/tex]

[tex]\[m \leq \frac{774}{11} \approx 70.3636\][/tex]

Since [tex]\(m\)[/tex] must be an integer, the largest integer less than or equal to [tex]\(70.3636\)[/tex] is 70.

So, the largest number of the form [tex]\(11m + 6\)[/tex] less than or equal to 780 is [tex]\(11 \times 70 + 6 = 776\).[/tex]

Now, we need to find the intersection of the sets of numbers [tex]\([655, 774]\) and \([655, 776]\).[/tex]

This can be done by finding the range of overlap between these two sets.

The range of overlap is [tex]\([655, 774]\),[/tex] which contains 774 - 655 + 1 = 120 numbers.

So, there are 120 numbers between 650 and 780 that leave remainders of 4 when divided by 7 and remainders of 6 when divided by 11.

Answer:

x³

Step-by-step explanation:

Differentiate using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]

Given

[tex]\frac{1}{4}[/tex] [tex]x^{4}[/tex], then

[tex]\frac{d}{dx}[/tex] ( [tex]\frac{1}{4}[/tex] [tex]x^{4}[/tex] )

= 4 × [tex]\frac{1}{4}[/tex] [tex]x^{4-1}[/tex] = x³

Answer:

x^3.

Step-by-step explanation:

Algebraic differentiation:

If y = ax^n , dy/dx = an x^(n-1), so

y = x^4 / 4

  = (1/4)x^4  

dy/dx = (1/4 * 4) x(4-1)

= x^3.

When a line passes through two points on a plane, according to Euclidean geometry, that line is on the same plane as the points-the correct statement is Statement C.

In the context of the four statements given about a line passing through two points on a plane, only Statement C is correct. According to Euclidean geometry, specifically the concept of a plane, if a line passes through two points on a plane, the line is indeed on the same plane as the points. To further clarify this mathematical rule, you can picture a page of a book as the plane, and any line drawn between two points on the page is considered to be on the same plane as the points.

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The correct statement is Statement C: The line is on the same plane as the points.

The correct statement regarding a line passing through two points on a plane is Statement C: The line is on the same plane as the points. A line that passes through two points on a plane is always on the same plane as those points. Since a plane is a flat surface that extends infinitely in all directions, any line that lies on the same plane as the points will also lie on that plane.

For example, if we have two points A and B on a flat table, any line that passes through those points will also lie on the table itself, and thus, on the same plane as the points.

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