Find the value of x. Assume that lines which appear to be tangent to the circle are tangent. A) 1 B) 3 C) 4 D) 6

The graphs of the 3 given functions can be seen in the image attached at the end.

Here we basically want to graph the next 3 functions:

y = x + 3

y = -x + 3

y = |x| + 3

So, the first two are linear equations. To graph these we just need to find two points on the line and connect them with a line.

The last one is the absolute value function translated up by 3 units.

So, to give an example of how to graph the first equation, first we evalaute in x = 0, then we get:

y = 0 + 3 = 3

So we have the point (0, 3)

For that same line we can evaluate in x = 1

y = 1 + 3 = 4

Then we also have the point (1, 4).

Now we have 2 points, we can just connect them with a line.

The graph of the 3 equations can be seen below.

A is the blue line, B is the red line, C is the orange graph.

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Answer:

Independent

Step-by-step explanation:

Barbie selecting a coin and putting it back in has no effect on Darren selecting a coin from the jar, as the numbers of each coin never changed. So, both events are independent with neither relying on the other.

Answer:

A) 8,500

B) B, C

Step-by-step explanation:

A) This seems to be a conversion problem. Since she runs 3 km every Monday Wednesday, and Friday, she would be running 6 km in total every week EXCLUDING the 2,500 meters. Since the question asks how many meters Kailee runs, you would need to convert 6 km to m and add the result to 2,500 meters. To convert km to m you just need to divide the value by 1000 (if your teacher asks for the full conversion method its 6 km * 1 m/1000 km or [tex]6 km * \frac{1m}{1000 km}[/tex]), so 6 km is 6,000 meters. Adding 6,000 to the left over 2,500 from Saturday, the final answer will be 8,500.

B) For the second question, the answer are the two angles BELOW angle A (I'm guessing it is choice B and C). A right angle can be envisioned as a corner of a square or rectangle. The only angle which are larger (wider) are the angles below A (with the long hand pointing at 1 and the long hand pointing at 2).

Answer:

[tex]\cos(63^\circ)[/tex] is the same as [tex]\sin(27^\circ)[/tex] by co-function identities

Step-by-step explanation:

Remember that complementary angles add up to 90°. The angle that i s complementary to 63° is 27°.

Also recall the co-function identities:

This means that [tex]\cos(90^\circ-27^\circ)=\sin(27^\circ)\approx0.454[/tex].

Step-by-step explanation:

Area of triangle on L   = 1/2 b * h   =  1/2  * 8 * 8 = 32  units^2

Area of triangle on R  = 1/2 b*h  = 1/2 * 6 *5  = 15 uits^2

Area of rectangle in between = width x height =  2x 5 = 10 units^2

Total area = 32 +15 +10 = 57 units^2

Answer

The first option would be your answer.The probability would be 1/16 or 0.0625 or 0.063

Step-by-step explanation:

When we are given sides and an angle, and a right triangle (seemingly), the easiest method of solving is using trigonometry.

Remember: SOH-CAH-TOA

Looking from the given angle, we are given the opposite side and want to know the hypotenuse. Therefore, we should use the sin function.

sin(34) = 2 / x

(x)(sin(34)) = 2

x = 2 / sin(34)

x = 3.7801

x = 3.7801

---Feel free to round to whereever you need/is required by your assignment.

Hope this helps!

Answer:

D) What is the number of gallons of water in a pool?

Step-by-step explanation:

A statistical question consists of varied responses and not just 1 specific answer. For example, the first 3 questions only have 1 specific answer each, while the last question can vary depending on the size of the pool.

Answer:

Below in bold.

Step-by-step explanation:

4x + y = 9

Let's put x = 0 then:

4(0) + y = 9

0 + y = 9

y = 9

So one. ordered pair that is a solution is (0, 9)

Answer:

2h+92

Step-by-step explanation:

The equation that will represent the sum of the age of Hannah and Anthony will be 2h+2=92.

Let the age of Hannah be x. and Since the age of Hannah and Anthony are two consecutive odd integers, therefore, the age of Anthony will be (h+2).

As it is given that the sum of the ages of the two other person is 92, therefore, the equation that will represent the sum of the age of the two persons can be written as, 2h+2=92

Thus, the equation that will represent the sum of the age of Hannah and Anthony will be 2h+2=92.

=(a+a+a+a+a+a)

= 6a

=(5x+−4x+10x)

= 11x

=(9t+3t+−6t)

= 6t

=(−5j+11j+j)

= 7j

a)= 6a

b)= 11x

c)=6t

d)= 7j

Answer:

9

Let's view the list of factors 36 and 45 have, starting with 36

4 × 9 = 36

5 × 9 = 45

That said, the greatest common factor of 36 and 45 is 9

Answer:

4/63 yd^3

Step-by-step explanation:

The volume of a rectangular prism is length*width*height

so:

[tex]\\\frac{5}{9} *\frac{1}{5} *\frac{4}{7}[/tex]

4/63 yd^3

Answer: 70 degrees

Step-by-step explanation:

The measure of the angle created by a tangent and a chord is half the measure of the arc.

Answer:

50% or 1/2

Step-by-step explanation:

There are four cars total and of which two are coupes, so the fraction would be 2/4 and simplified would be 1/2.

Let's first consider all the different types of triangles:

What we are looking for:

   ⇒a triangle with all the sides of different length

The only triangle to fit that requirement is: Scalene Triangle

Hope that helps!

Answer:

about 10.9 feet

Step-by-step explanation:

Using the Pythagorean Theorem:

[tex] {h}^{2} + {5}^{2} = {12}^{2} [/tex]

[tex] {h}^{2} + 25 = 144[/tex]

[tex] {h}^{2} = 119[/tex]

[tex]h = 10.9[/tex]

Answer:

x=10, z=106

Step-by-step explanation:

vertical angles: 10x-26=74

10x=100

x=10

supplementary angles: 74+z=180

z=106

Answer:

Standard Form: y = a x 2 + b x + c y=ax^2+bx+c y=ax2+bx+c.

Factored Form: y = a ( x − r 1 ) ( x − r 2 ) y=a(x-r_1)(x-r_2) y=a(x−r1)(x−r2)

Vertex Form: y = a ( x − h ) 2 + k y=a(x-h)^2+k y=a(x−h)2+k.

2√3

hope it helps...!!!

Answer:

graph exponential function using transformations...f (x)=(12)X is reflected about the y-axis and compressed vertically by a factor of 15

Answer: 824 Miles

Step-by-step explanation:435 + 389

Answer:

See below ~

Step-by-step explanation:

Finding the discriminant

⇒ The discriminant is -27.

⇒ Because the discriminant is less than 0, the two roots are complex.

Step-by-step explanation:

Given: [{36√(6) + 6^(5/2)} / (108×12)]² = 6ⁿ

Asked: Find the value of n = ?

EXPLANATION:

Given that:

[{36√(6) + 6^(5/2)} / (108×12)]² = 6ⁿ

⇛[{(6)² * (6)^(1/2) * (6)^(5/2}/(36 * 3 * 12)]² = 6ⁿ

⇛[{6² * 6^(1/2) * 6^(5/2)}/(36 * 36)]² = 6ⁿ

⇛[{6² * 6^(1/2) * 6^(5/2)}/(6*6 * 6*6)]² = 6ⁿ

⇛[{6² * 6^(1/2) * 6^(5/2)}/(6² * 6²)]² = 6ⁿ

⇛(6³⁻²)² = 6ⁿ

⇛(6¹)² = 6ⁿ

⇛6² = 6ⁿ

When an exponential has the same base on each side, then the exponents must be equal.

Therefore, n = 2.

Answer: The Value of “n” for the given problem is 2.

Step-by-step explanation answer:

ABC Must be 180 degrees because we have formed a Triangle. Using the Triangle Angle Sum therom all angles within the triangle must add up to a 180 degrees hence 180s is needed for the triangle

Line segment XY begins at (-6,4) and ends at (-2,4); XY is reflected over the x-axis and translated left 3 units to form line segment X'Y' which has a length of 4 units.

An equation is an expression that shows the relationship between two or more numbers and variables.

Line segment XY begins at (-6,4) and ends at (-2,4). Hence:

[tex]XY=\sqrt{(4-4)^2+(-2-(-6))^2}=4\ units[/tex]

XY is reflected over the x-axis and translated left 3 units to form line segment X'Y'. Hence:

XY = X'Y' = 4 units

Line segment XY begins at (-6,4) and ends at (-2,4); XY is reflected over the x-axis and translated left 3 units to form line segment X'Y' which has a length of 4 units.

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Answer:

$27 per book

Step-by-step explanation:

258 - 9(books) = 15

258-15 = 243

243 / 9=27