What is the slope of the line?

g(x) = x - 3

h(x) = 3x + 1

To find g(h(x)), you have to replace x = h(x) into g(x), as follows:

g(h(x)) = (3x + 1) - 3

g(h(x)) = 3x + (1 - 3)

g(h(x)) = 3x - 2

To find h(h(x)), you have to replace x = h(x) into h(x), as follows:

h(h(x)) = 3(3x + 1) + 1

h(h(x)) = 3(3x) + 3(1) + 1

h(h(x)) = 9x + 3 + 1

h(h(x)) = 9x + 4

For the given question, we will prove ABCD is a parallelogram

The proof will be as follows:

Statements Reason

1. AB ≅ CD Given

2. AB // CD Given

3. CB ≅ AD Given

4. CB // AD Given

5. ABCD is a parallelogram Parallegram theorem

We have a system of linear equations:

We have to solve by substitution. This is the most appropiate method a s we already have one of the variables in function of the other.

Then, we can replace x in the second equation as:

With the value of y, we can calculate x from the first equation:

Answer: x=-16 and y=2

(13) The angles are alternate interior angles .

(14)  The angles are alternate exterior angles .

(15)  The angles are vertically opposite angles.

In a plane, parallel lines are any lines that do not meet or intersect at any point. They are always parallel and equally spaced apart from one another. Lines that are parallel do not intersect. Infinity is where parallel lines meet, as well.

Additionally, pairs of angles, such as the ones below, are created when a transversal intersects two parallel lines.

Two lines are said to be intersecting if they cross at a single point in a plane. Perpendicular lines are those that cross one other at a 90-degree angle. In a plane, two lines are said to be parallel if they never cross at any point.

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Given that:

x = number of adult tickets.

y = number of children's tickets.

And the ordered par (4, 3).

Since an ordered pair is represented by (x, y):

x = 4 = number of adult tickets.

y = 3 = number of children's tickets.

Answer: A. Ms. Monti bought 4 adults tickets and 3 children's tickets.

Answer:

minimum distance between the boy and the wave is 1.2 m

Step-by-step explanation:

Use v = u + at, with v as 0, to find how long it takes for the wave to decelerate to 0 m/s.

0 = 11.6 - 1.6t

t = 7.25s

Then find how far the wave has traveled by substituting in s = ut + 1/2 at²

s = 11.6 * 7.25 + 1/2(-1.6)(7.25²)

s = 42.05m

Find out how far the he has traveled in the same time

s = vt + 30 (since he was 30m ahead)

s = 2*7.25 + 30

s = 44.5m

The boy has traveled a greater distance so the wave does not reach by the time it decelerates to 0m/s

Find the time at which the wave reaches a speed of 2m/s.

v = u + at

2 = 11.6 - 1.6t

t = 6s

Now find the distance traveled by the wave in that time

s = ut + 1/2 at²

s = (11.6*6) + 1/2(-1.6)(6²)

s = 40.8m

Now find the distance traveled by the boy in that same time

s = vt + 30

s = 2*6 + 30

s = 42m

Find the difference, which is the minimum separation

42 - 40.8 = 1.2m

First, let's put the numbers that are not in the decimal form in this form:

Slices of Cheese Pizza 2 , 6, 8, 5 ½, 3 1/3, 3/5 Slices of Pepperoni Pizza 5, 15, 20, 13 ¾, 8 1/3, 1 ½ Total Slices of Pizza 7, 21, 28, 19 ¼, 11 2/3, 2 1/10

ANSWER:

2nd option: 3 w - 4 = 5

STEP-BY-STEP EXPLANATION:

Let w be the number to create the equation, triple is multiplied by 3 w then subtract 4 is equal to 5, we have the following result:

Therefore, the correct answer is the 2nd option: 3 w - 4 = 5

Note that:

The first quadrant of a graph belongs to the negative x - axis, and the positive y-axis

Since it is stated that the points of the preimage belong to the first quadrant, we can reasonably selects the values of Points A, B, C, and D that obey this instruction.

1) Coordinates of the preimage in the first quadrant

Let us selects arbitrary coordinates that belong to the first guadrant for the points:

A(-1, 2), that is, x = -1, y = 2

B(-1, 6), that is, x = -1, y = 6

C(-3, 2), that is, x = -3, y = 2

D(-3, 6), that is, x = -3, y = 6

2) Coordinates of the image after translating the object by 7 units left (i.e x -7) and 3 units up (i.e y + 3)

The preimage is translated 7 units left and 3 units up. The coordinates of the points become:

A' (-1-7, 2+3)

A' (-8, 5)

B' (-1-7, 6 + 3)

B'(-8, 9)

C'(-3-7, 2+3)

C'(-10, 5)

D'(-3-7, 6+3)

D'(-10, 9)

Hello Blessing, can you see the solution here?

Are you still there?

The labelled diagram of the triangle is shown below

From the diagram,

BC is common to triangles ABC and BCD.

AC is the hypotenuse of triangle ABC and BC is the hypotenuse of triangle BCD. CD and BC are corresponding legs of triangles ABC and BCD

Thus,

CD/BC = BC/AC

5/m = m/(15 + 5)

5/m = m/20

By crossmultiplying,

m * m = 5 * 20

m^2 = 100

m = square root of 100

m = 10

We need to select all the functions from the options that have a period of 2π.

If a function has period P, the function f(x) repeats its values every time x is a multiple of P.

Thus, by analyzing the graph of periodic functions, we can determine their period.

Observe the graphs of the following functions:

Notice that the functions y = tan x and y = cot x have period π.

And the functions y = csc x and y = sec x have period 2π.

Therefore, the functions that have period 2π are:

A. y = csc x

B. y = sec x

Given data:

The given nnumber is 8/3.

The given number is lie between 2 and 3 , more close to 3.

Here, each division is one unit and the dot represent the number which is lies bewteen 2 and 3.

Answer:

6 apps

Step-by-step explanation:

Comment

The trick to this question is that you must stay under $25 dollars. Make a rough estimate to the answer. Suppose each a[[ costs 4 dollars.

Then the total number you can but is 25/4 = 6.25 spps. But you can't buy 1/4 of an app, so the answer must be 6.

To be just a bit formal

1 app costs 3.99 dollars

6 apps cost 3.99 * 6 = 23.94 dollars.

What happens if you try and buy the 7th app?

7 apps cost 3.99 * 7 = 27.93 which is over 25.

You cannot by 7 apps.

You can only buy 6 apps.

We have the following inequality

and its graph is

When we have two numerical sets of data, it's either we have a positive association, negative asscociation or no association.

When we have a negative association, one variable increases as the other variable decreases.

Take a scatter plot as an example. In a scatter plot, if the x variable is increasing as the y variable decreases, we can say that both variables have a negative association.

While if the x variable is increasing as the y variable is increasing, both variables have a positive association.

Therefore, when two numerical sets of data have negative association, the correct statement is:

As one variable increases, the other variable decreases.

ANSWER:

D. As one variable increases, the other variable decreases

The solutions to the trigonometric equation 12cos²(x) - sin(x) - 6 = 0 are given as follows:

x = 42º and x = 228º.

The equation is given as follows:

12cos²(x) - sin(x) - 6 = 0

The following identity is applied:

sin²(x) + cos²(x) = 1.

Hence:

cos²(x) = 1 - sin²(x).

Replacing this identity into the equation, we have that:

12(1 - sin²(x)) - sin(x) - 6 = 0

12 - 12sin²(x) - sin(x) - 6 = 0

12sin²(x) + sin(x) - 6 = 0.

The following transformation is applied:

y = sin(x).

Hence the equation is:

12y² + y - 6 = 0.

Which, using a calculator, has the solutions given by:

y = -3/4, y = 2/3.

Then the solutions for the variable x are given as follows:

This problem is incomplete and could not be found on any search engine, hence we are going to suppose that it asks for the solutions to the equation.

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it is already rounded

It is described as being the mass of a certain platinum-iridium prototype that is held at the International Bureau of Weights and Measures. One liter of pure water's bulk (10-3 cubic meters) served as its original definition.

A mass of 1 kilogram weighs roughly 2.20 pounds at Earth's surface (lb).

The fundamental mass unit in the metric system is the kilogram (kg). Since it was initially designed to be exactly equal, a kilogram is very nearly equivalent to the mass of.

What is a kilogram, and what does it look like?

kilograms is definedThe fundamental metric mass unit, which is equivalent to 1,000 grams (2.2 pounds). 1. 1. The Systeme International d'Unités defines a kilogram as a unit of measurement .

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Compared to men,b. a smaller proportion of women get MS.

MS, resulting in nerve damage disrupts conversation between the mind and the body, more than one sclerosis causes many specific signs and symptoms, which include imaginative and prescient loss, pain, fatigue, and impaired coordination.

The signs, severity, and duration can vary from person to man or woman. a few people may be symptom-unfastened most of their lives, at the same time as others can have excessive continual signs that by no means go away. Physical therapy and medicinal drugs that suppress the immune machine can assist with signs and gradual disorder development.

Multiple sclerosis can weaken the muscle tissues that manage the lungs. Such breathing problems are the essential reason for sickness and demise in people in the very last stages of MS. Spasticity or growth in stiffness and resistance as a muscle is moved can impair motion and motive aches and other issues.

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Given: A piecewise rectangular figure is given.

Required: To determine the area of the given figure.

Explanation: The area of the given figure can be determined by splitting the figure into two squares as shown below:

Now the figure is divided into a square with an edge of 3 cm and a rectangle of 8 cm by 5 cm.

And the area of the square is

And the area of a rectangle is the product of length by breadth.

Hence, the area of the figure is-

Final Answer: The area of the figure is 49 square centimeters.

In order to calculate the result of this division, first let's convert the mixed number 1 1/3 into a fraction:

Now, calculating the division, we have:

So the result is 6.

Answer:

Hold the point (2,1) and drag it down until it is at the point (2, -1).

Explanation:

Given the graph of y=f(x).

If we have:

This is a Vertical Translation Down by 2 units.

This means we shift the graph of y=f(x) down by 2 units.

From the graph:

In y=f(x), we have a point (2,1).

Hold the point and drag it down until it is at the point (2, -1).

Answer:

See below

Step-by-step explanation:

L + 1/8 L = 90

L = 90 / ( 9/8) = 80°     smaller = 10 degrees

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The interest that would be paid on the loan is $1,505.35.

Interest is the amount that a debtor has to pay the creditor for use of her funds. The interest that is paid on a loan depends on the interest rate, duration of the loan and the amount borrowed.

Th amount of interest can be determined using the simple interest formula.

Interest = loan amount x interest rate x duration of the loan

Interest = $35,500 x 10.25% x (151 / 365)

Interest = $35,500 x 0.1025 x 0.41370

Interest = $1,505.35

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Martina deposited $4,000 into an account with 5.1% interest compounded semi-annually. assuming that no no withdrawals are made how much will she have in the account after 9 years?​

we know that

The compound interest formula is equal to

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

P=$4,000

r=5.1%=5.1/100=0.051

n=2

t=9 years

substitute in the formula

Given:

The coordinates of the Oceanfront, (x1, y1)=(3, -2).

The coordinates of the Seaside, (x2, y2)=(-2,4).

The distance between the points corresponding to Oceanfront and Seaside is,

It is given that one unit represents 5 miles.

So, the actual distance between Oceanfront and Seaside is,

Therefore, actual distance between Oceanfront and Seaside is about 40 miles.

Its a hard question i really don't know