Three moons are in the same circular orbit around a planet. The moons are each 98,000 kilometers from the surface of the planet, located at points A, B, and C. The planet is 12,000 kilometers in diameter and m∠ABC=90°. How far is point A from point C?

[tex]7x-4=\angle PQS\\\\\implies 7x-4 =38\\\\\implies 7x = 38+4\\\\\implies 7x = 42\\\\\implies x = \dfrac{42}7 \\\\\implies x = 6[/tex]

Answer:

7.2

Step-by-step explanation:

5x+2=38

5x=38-2

x=36/5

x=7.2

Answer:

Top left.

Step-by-step explanation:

Answer: 3x + y = 3

Step-by-step explanation: For a line to be parallel it must have the same slope but a different y intercept. y = mx + b, where M is the slope, and B is the y intercept.

We can solve for y, using 3x + y = 3. Subtracting both sides from 3x, we get y = -3x + 3, which is a different y intercept but the same slope.

Answer:

8.324

Step-by-step explanation:

The 8 serves as the first digit and the "and " represents a decimal point  the remaining numbers go behind that decimal point therefore 8.324.

Answer:

Perimeter of rectangle = 14x - 2

Area of rectangle = 10x² + x - 2

Step-by-step explanation:

Finding the perimeter of the rectangle:

⇒ Perimeter of rectangle = 2(L) + 2(B)

⇒ Perimeter of rectangle = 2(2x + 1) + 2(5x - 2)

⇒ Perimeter of rectangle = 4x + 2 + 10x - 4

⇒ Perimeter of rectangle = 14x - 2

Finding the area of the rectangle:

Area of rectangle = LB

⇒ Area of rectangle = (2x + 1)(5x - 2)

⇒ Area of rectangle = 10x² - 4x + 5x - 2

⇒ Area of rectangle = 10x² + x - 2

Answer:

Perimeter = 14x - 2

Area = 10x² + x - 2

Step-by-step explanation:

Formulae

(where W is the width and L is the length)

Given information

Perimeter

⇒ Perimeter = 2(2x + 1) + 2(5x - 2)

                     = 4x + 2 + 10x - 4

                     = 14x - 2

Area

⇒ Area = (2x + 1)(5x - 2)

             = 10x² - 4x + 5x - 2

             = 10x² + x - 2

Answer:

5

Step-by-step explanation:

5

Answer:

C

Step-by-step explanation:

Find area of all trinagles and subtract that by total area of square.

Answer:

The answer to your question is 47

Step-by-step explanation:

You just add and subtract the question the your answer will be 47. Brainly patrol, stop deleting me.

The answer is 72

Step-by-step explanation:

1+7=8

8+6=14

14+8=22

22+10=32

32+12=44

44+5=49

49+22=70

70-4=66

66-12=56

56+16=72

Answer:

The Strangers that Came to Town is a short story by Ambrose Flack, which tells how an immigrant family from Croatia, the Duvitch, arrive in a small town in the United States, where due to the prejudices of its inhabitants regarding their appearance they suffer discrimination and undeserved tense situations, due to their kindness and generosity.

Despite this initial situation, finally, people begin to accept them, as they start to know them and realize their kindness to other neighbors and villagers of the town.

Step-by-step explanation:

Answer:

1. growth

2. decay

3. growth

4. decay

Answer:

Step-by-step explanation:

Growth: anything in the parenthesis that is greater than 100% or 1 | > 1

Decay: anything in the parenthesis that is less than 100% or 1  | < 1

(1 + r) = growth

(1 - r) = decay

r = rate of growth

[tex]f(x)=485(1.98)^t < ==|(1+0.98=1.98)| > 1= > growth\\[/tex]

[tex]f(x)=\frac{1}{4}(0.18)^t < ==|(1-0.82=0.18)| < 1= > decay[/tex]

[tex]f(x)=46(1.001)^t < ==|(1+0.001=1.001)| > 1= > growth[/tex]

[tex]f(x)=0.08(0.34)^t < ==|(1-0.66=0.34)| < 1= > decay\\[/tex]

Hope this helps!

Answer:

72 + 12x

Step-by-step explanation:

Use Distributive proeprty: a*(b +c)= (a*b) + (a*c)

Here, a = 12 ; b = 6 & c = x

12( 6 + x) = 12*6 + 12*x

               = 72 + 12x

Answer:

A. 36

Step-by-step explanation:

Right triangle angles in degrees always add up to 180° degrees. In addition, it must have a right angle (hence the name right triangle), which is 90 degrees.

Given the angle in degrees is 54, we can add 90 and 54 and subtract it from 180 to find the missing angle.

[tex]54+90=144[/tex]

Now, subtract from 180.

[tex]180-144=36[/tex]

Therefore, the degrees of the missing angle is 36.

#LearnWithBrainly

Answer: 6^5 = 6^3 * 6^2

When your multiplying exponents, you just add the exponents. So, 3 should be the exponent in the box.

Answer:

Or the rate of change. The percentage change.

Slope.

Answer:

[tex]x=(b-a)^{3}[/tex]

Step-by-step explanation:

Answer:

x = b³ - 3b²a + 3a²b - a³

Step-by-step explanation:

Given:

[tex]\sqrt[3]{x} + a = b[/tex]

To determine the value of "x", we need to isolate it. Start out by subtracting "a" both sides. Then, we can cube both sides to remove the cube root. Finally, we can simplify both sides to obtain the value of x.

Subtract "a" both sides to isolate ∛x:

[tex]\implies \sqrt[3]{x} + a - a = b - a[/tex]

[tex]\implies \sqrt[3]{x} = b - a[/tex]

Cube both sides to remove the cube root on the L.H.S:

[tex]\implies (\sqrt[3]{x})^{3} = (b - a)^{3}[/tex]

[tex]\implies x= (b - a)^{3}[/tex]

Use the formula (a - b)³ = a³ - 3a²b + 3ab² - b³

[tex]\implies x = b^{3} - 3(b)^{2}(a) + 3(b)(a)^{2} - a^{3}[/tex]

[tex]\implies \boxed{x = b^{3} - 3b^{2}a + 3a^{2}b - a^{3}}[/tex]

Thus, the value of x is b³ - 3b²a + 3a²b - a³.

I think that's it, Hope this helps!!!!!!

Answer:

x = -2

Step-by-step explanation:

4x + 5y = 7
4x + 5 (3x + 9) = 7
4x + 15x + 45 = 7
19x + 45 = 7
19x = -38
x = -2

Answer:

Option D

Step-by-step explanation:

Given equation:

This equation can be solved by:

Subtracting 2 both sides of the equation (according to step 1):

Dividing -4 to both sides of the equation (according to step 2):

Therefore, Option D is correct.

Learn more about this topic: https://brainly.com/question/27460957

Answer:

d) 4

Step-by-step explanation:

Solving for the value of x,

→ -4x + 2 = -14

→ -4x = -14 - 2

→ -4x = -16

→ x = -16/-4

→ [ x = 4 ] {option d}

Verification of the value of x,

→ -4x + 2 = -14

→ -4(4) + 2 = -14

→ -16 + 2 = -14

→ -14 = -14

→ [ LHS = RHS ]

Hence, the value of x is 4.

Answer: Option 2

Step-by-step explanation:

Answer:

4 and 5 not functions 6 function

Step-by-step explanation:

In a function, each x value can only have one y value. To test this, you can try the vertical line test. Put a vertical line on the function; if it touches only one point the graph is a function. For graph 4, the x value of 3 has y values of 1 and 4 so it is not a function. For graph 5, the x values of 1 and 5 have many y values so the graph isn't a function. For graph 6, each x value has only one y value so it is a function.

Answer:

4. Not a function

5. Not a function

6. Function

Step-by-step explanation:

1 -3 (correct!)

Functions do NOT have repeating x-values. Hence why you were able to determine if # 1-3 are fuctions or not.

4. Not a fuction:

(1, 2)

(2, 3)

(3, 1)

(3, 4)

As we can see, both points have the same x-values. Therefore, not a function.

5. Using our knowledge about functions, we can quickly tell that this graph is NOT a fuction.

There are many points that fall under the same x-value.

6. Function:

(1, 2)

(2, 2)

(3, 3)

(4, 4)

No repeating x-values. Therefore, a function.

Hope this helps!

Answer:

Depends what vehicle is it does it burn alot of gas like pickup trucks or is it a little small Honda Civic

Step-by-step explanation:

Answer:

1468 in^3

Step-by-step explanation:

Multiply all of the larger box dimensions

10 * 10 * 15 = 1500  in^3

subtract the smaller box cut out corner

2 * 4 * 4 =  32

1500 - 32 = 1468 in^3

Answer:

7.72 miles

Step-by-step explanation:

Subtract 10.73 and 3.01 to find your answer

Answer:

Step-by-step explanation:

m

Answer:

I don't know if this is all the way right but I hope it is.

Step-by-step explanation:

Step 1.

Put the data in order to find the median.

Median = 72

Find the Lower Quartile and the Upper Quartile. These are the medians of the lower and upper halves.

Lower Quartile = 66

Upper Quartile = 79

Next put those points on your number line and mark your smallest and

greatest values, the median, and the Quartiles.

Answer:

Weeks = 52

Days = 365

Hours = 8,760

Minutes = 525,600

Seconds = 3.1536 × 10^7

Step-by-step explanation:

Answer:

1 Year =

31540000 seconds.

525600 minutes.

8760 hours.

365 days.

52.1429 weeks.

12 months.

Step-by-step explanation:

Hey there!

You can do this by calculating all the numbers since you already know that there are 24 hours in a day, 12 months in a year and 365 days in a year

Answer:   question 9      is     3/12

Step-by-step explanation:

Step-by-step explanation:

REFER TO THE ATTACHMENT

HEY IN WHICH CLASS YOU ARE ROSA

Answer:

my answer is 7.5

Step-by-step explanation:

let me know if I'm incorrect

Answer:

3.5

Step-by-step explanation:

Set up the Pythagorean Theorem (a^2 + b^2 = c^2) where the unknown side is x:

2^2 + x^2 = 4^2

4 + x^2 = 16

x^2 = 12

x = ± sqrt(12)

x ≈ 3.5

Note: '^' means "to the power of", so '^2' means "squared"

Answer:

Step-by-step explanation:

The quadratic expression can be factored into two binomials if it has two real roots.

Two real roots possible with non-negative discriminant:

As D = b² - 4ac, we get the following inequality

This is true for any value of k

Answer:

(-∞, ∞)  or  [tex]k \in \mathbb{R}[/tex]

Step-by-step explanation:

Binomial:  two terms connected by a plus or minus sign.

Discriminant

[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]

[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real roots}[/tex]

[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real root}[/tex]

[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real roots}[/tex]

If a quadratic expression factors into two binomials, it will have two real roots.  Therefore, the discriminant will be greater than zero.

Given quadratic expression:

  [tex]3x^2+kx-8[/tex]

[tex]\implies a=3, \quad b=k, \quad c=-8[/tex]

Substitute the values of a, b and c into the discriminant, set it to > 0:

[tex]\implies k^2-4(3)(-8) > 0[/tex]

[tex]\implies k^2+96 > 0[/tex]

As k² ≥ 0 for all real numbers,

[tex]\implies k^2+96 \geq 96[/tex]

Therefore, the values of k are (-∞, ∞)  or  [tex]k \in \mathbb{R}[/tex]

Answer:

The total number of students that voted is 25.

Step-by-step explanation:

18 students = 72% of the students who voted

Divide the percentage of students by 100.

72% ÷ 100 = 0.72%

Then, divide 18 by 0.72%.

18 ÷ 0.72% = 25

So, the total number of students that voted is 25 students.

Hope this helped !

What change has been caused?

Change in x (+4)

Means

Option A

Answer:

translate 4 to the left

Step-by-step explanation:

ED 2022