I need help solving this practice problem If you can , answer (a) and (b) separately so I can tell which is which

Given the equation;

You are to calculate the value of y. This is as shown below;

First collect the like terms;

Evaaluate the expression an find y;

Divide both sides by -6;

Hence the value of y is -5

To make the graph we need to make a table with different pairs of angles and radius.

We can start with θ = 0, and calculate the radius for different values of θ. (π/6, π/3, π/4 and so on. Then, you can join the points.

The equation for radius will be:

Then, in the line of θ = 0, you draw a point in the fourth circle.

Then, we get the following table of values:

θ r

04.00

π/63.72

π/43.36

π/32.83

π/20.00

Note that we can't evaluate angles whose cosine is negative (angles in quadrants 2 and 3) since we would be trying to calculate the square root of a negative number, which does not exist among real numbers. Then, we will evaluate angles in the first quadrant (already done) and the 4th quadrant.

θ r

-π/63.72

-π/43.36

-π/32.83

-π/20.00

In the last table we use negative angles, they can be "translated" to positive:

-π/6= π/6

-π/4= 7π/4

-π/3= 5π/3

-π/2= 3π/2

Now, we can draw the points:

Joining the points:

You have the following equation:

M = 2rt³ - 3rx

In order to solve the previous equation for x, proceed as follow:

M = 2rt³ - 3rx subtract 2rt³ both sides

M - 2rt³ = -3rx divide by -3r both sides

(M - 2rt³)/(-3r) = x simplify left side

-M/3r + 2/3 t³ = x

y = 2

The given equation is 4y

Divide both sides of the equation by 4

y = 2

Also, since we are asked to use our number sense, we can find what we will multiply by 4 to give 8

Since 4 x 2 = 8, then y = 2

The names of the angles are ; ∠XYZ , ∠ ZYX or ∠1

Here, we want to give three different ways in which we can name the angle

To name the angle, we can use the two end points and the location of the angle itself as angle

This can be ∠ZYX or ∠XYZ

Lastly, we can make use of the labeling on the angle itself

The name can be ∠1

ANSWER

Not a right triangle

EXPLANATION

In a right triangle, the hypotenuse is always the longest side. If these are the side lengths of a right triangle, the sides would be,

The Pythagorean theorem must be true for any right triangle,

Let's see if it is indeed true,

If the Pytagorean theorem is nort true, then this is not a right triangle

Given,

g(x) = - x^2

now, in part (b), we have to find g(-2)

It can be done by replacing the value of x with -2, so

g(x) = - x^2

g(-2) = - (-2)^2

g(-2) = - 4

Part d:

g(m) = ?

So, here we will put the 'm' value in place of x.

g(x) = - x^2

g(m) = - (m)^2

g(m) = -m^2

78 divide by 14

First, divide the numbers

78/14 = 5.57

5.57 lies between 5 and 6

Given:

A rectangular pool with the following measures,

Perimeter

Length = x + 8

Width = x

Let's determine the measure of its dimensions:

Let's now determine its dimensions,

Length = x + 8 = 7 + 8 = 15 ft.

Width = x = 7 ft.

Therefore, the dimension of the rectangular pool is Length = 15 ft. and Width =7 ft.

Given:

y = 4 sin 4θ

The amplitude is 4.

Period:

The period is π/2.

Graph:

Equations:

Sum (1)+ (2):

x=2

Now, we are going to sum (3)*2+(2).

y=2.

Replacing y and x in (4) and (3):

Isolating w in (5) ans replacing in (6):

Answer: z=35.

The Solution:

The value of the house in 13 years time can be calculated using the formula below:

In this case,

Substituting these values in the formula above, we get

Thus, the value of the house in 13 years is $911820 (to the nearest dollars)

We will have the following:

First, we construct the exponential decay function, that is:

Now, we will determine the population after 6 years:

So, the population after 6 years will be of approximately 37491 people-

The best cluster is Las Vegas, which has a percentage of 78% that is linearly close to 77%, the percentage of the whole population of the United States.

Las Vegas

We have a quadrilateral ABCD, where we know that AB || DC.

The other condition for the quadrilateral to be a parallelogram is that the other 2 sides of the parallelogram are congruent.

The other two sides are AC and BD, so the other condition needed is that AC and BD are congruent.

Answer: AC and BD are congruent.

To find the x-intercepts of this equation, substitute y by 0 at first

Now we need to factor this equation into 2 factors

We need 2 numbers their sum = 12 (the middle term)

But we can not find them mentally, then we will use the formula

a is the coefficient of x^2

b is the coefficient of x

c is the numerical term

a = 2, b = 12, c = 13

Let us substitute them in the rule to find x

We will simplify the root

Divide up and down by 2 to simplify the fraction

The 2nd root will be the same number but a different middle sign

The x-intercepts are

1. 92 .

2. 7

3. >=<

4. -

5. 8x3=24

Step-by-step explanation:

Analysing the letter D, we can find the following symmetry (in red):

There is no point of symmetry. Therefore, the correct option is B.

We are asked to correct the following statements:

A. "The hypotenuse is the longest side of the right triangle" The statement is true.

B. "The Pythagorean theorem applies to all triangles". The statement is false. The Pythagorean theorem applies to RIGHT triangles.

C. "The hypotenuse is always adjacent to the 90° angle". The statement is false. The hypotenuse is opposite to the 90° angle.

D. "The Pythagorean theorem states that 2a + 2b - 2c". The statement is false. The Pythagorean theorem states that:

E. "The logs, a and b, will always be adjacent to the 90° angle". The statement is true, since a and b represent the adjacent sides of the 90 degrees angle.

F.

t = n(p-c)

t=100(11.75 - 1.75)

t = 100(10)

t=$1000

total profit received = $1000

The given expression is

First, we add 16 on each side

Then, we apply a square root on each side

Now, we subtract 6 from each side

Two functions are called cofunctions if they are equal on complementary angles

Since

Substitute it in the rule above

The cofunction is sec(pi/4)

A. We must divide the distance between the number of divisions

from 0 to 1 we have a distance of 1 and count 8 divisions

so

so the length of each segment is 1/8 or 0.125

B.

x = -43/4

Given:

To find:

the value of x

Answer:

Choice B.

Explanation:

The equation can be rewritten as

Now since

and

the expression becomes

Hence, choice B is the correct answer since it matches the answer we got above.

a. One of the properties of squares is all sides are congruent (they have the same length) and this is not a property of rectangles. But the square is a special rectangle since it fits in the properties of rectangles, but rectangles are not squares. In this case, this is TRUE.

b. A parallelogram is a quadrilateral with two pairs of opposite parallel sides and the opposite sides are congruent. The square fits into this description, so this is TRUE.

c. A rhombus has four equal opposite parallel sides, so we can say it fits into the parallelogram definition. This is TRUE.

d. As we said in part a, a rectangle doesn't have all of its sides congruent, but the rhombus does. Then, this is FALSE.

e. Squares have four equal opposite parallel sides, and rhombus too. Then, a square is a rhombus. This is TRUE.

f. Not all parallelograms have the properties of rectangles, then this is FALSE.

We will solve as follows:

So, the solution is x < -3.

***Breakdown:

*After we obtain:

We operate like terms, that is we separate the variables and integers in the different side [Operating as if it were a normal equation]:

After this, we know that by dividing and/or multiplying by negative values in the inequality the orientation of the inequality will shift [That is if it was "<" then it will become ">" and viceversa], that is:

In order to find Lorenzo's speed in miles per hour, we need to convert from yard to mile and from second to hour. The rates are:

1 yard = 1/1760 miles

1 second = 1/3600 hours

So we have that:

Lorenzo can ride 10.227 miler per hour.