A is located at (-4,-2), B is located at (4, 4), C is located at (5,0) and D is located at 1-3,2). Classify ABCD andgive the justification for your classification.

We are given the following interval:

(6,100].

This means that we want values greater than 6(since the interval is open at 6 it is not part of the interval) and lesser than or equal to 100(since the interval is closed at 100 it is part of the interval).

Inequality:

Greater than 6 and lesser than or equal to 100 is represented by the following inequality:

Similar to the inequality, just with a prior notation.

EXPLANATION:

The correct equation is the one formulated below since we can see that two of its sides have the same measure, therefore, looking at the coordinates well, we have the following formula.

EQUATION:

SOLUTION:

Case: Simple interest

Method:

P= $5100

R= 6.5% or 0.065 annual rate

T= 365 days.

1. The formula for simple Interest is:

Therefore:

The Interest, I= $331.50

2. The Amount, A

The Amount A= $5431.50

One positive angle:

One negative angle:

we have that

the x-coordinate of A is -6

the x-coordinate of E is 6

so

the midpoint of AE is

(-6+6)/2=0

therefore

the midpoint is point C

The formula to calculate the distance between two points is given by

In this problem, we have the coordinates

(4, -1) and (9, 7)

substitute in the formula

We have that

So the answer is the first one.

,We have the next expression

First we will multiplicate the sign minus with the trinomial (5x^2 – 7x - 5 )

then we can sum like terms and we obtain the solution

The total amount needed for the equipment is $350.

The number of students on the team is x students.

To find the amount required per student, consider that each student will pay equally. Therefore, the amount can be gotten by division.

Hence, the amount per student can be gotten as:

This then becomes, by substitution:

The correct answer is OPTION C.

initial stamps = 12

Stamps bought per month = 75

number of moths = x

So the expression for the total number of stamps(y)

y =12+75x

To have 200 stamps replace y by 200 and solve for x (months)

200 = 12+75x

200-12 = 75x

188 =75x

188/75 =x

2.5 = months

2.5 months (2 and a half)

k is the midpoint of JL

KL= 7n+ 10

JL= 76

Since k is the midpoint, then;

JK = KL = 7n + 10

Also

JL = JK + kL

76 = (7n + 10) + (7n+10)

76 = 7n + 10 + 7n + 10

76 = 14n + 20

subtract 20 from both-side of the equation

76 - 20 = 14n

56 = 14n

divide both-side of the equation by 14

56/14 = n

4 = n

n = 4

JK= 7n + 10 = 7(4) + 10 = 28 + 10 = 38

KL=JK=38

KL=38

Answer

The GDP of Whoville is $2990 billion

Step-by-step explanation:

The formula for calculating GDP is given as

GDP = C + G + I + NX

Where, C = all private consumption

G = All government spending

I = Investment by businesses

NX = The country's net export

The net export = total export - total import

Total export = $9 billion

Total import = $28 billion

The net export = ($9 - $28) billion

The net export = - $19 billion

GDP = [($1945 + $1022 + $42 + (- $19)] billion

GDP = ($1945 + $1022 + $42 - $19)

GDP = $2990 billion

Hence, the GDP of Whoville is $2990 billion

Given:

Volume = 72.4 dm³

Hence:

ANSWER

0.0724 kL, would completely fill the gas tank.

Let the coordinates of the focus(-3, 0) be:

x₁ = -3, y₁ = 0

Let the coordinates of the focus(3, 0) be:

x₂ = 3, y ₂ = 0

Let the coordinates of point(7, 0) be:

x₃ = 7, y₃ = 0

Let the distance between the Focus(-3, 0) and (7, 0) be d₁

Let the distance between the Focus (3, 0) and (7, 0) be d₂

When we have a polynomial, the amount of solutions for a polynomial is given by its degree, and the degree of the polynomial is given by the biggest exponent in the polynomial. Our polynomial is

The biggest exponent is 2, therefore this is a 2nd degree polynomial. This means this polynomial has 2 solutions.

Explanation

The area and circumference of a circle can be seen below.

From the image, the diameter of the circle is given as;

Recall;

Hence;

Answer:

In order to solve this inequality, let's put all terms with x on the same side of the inequality, add the like terms and divide both sides by the coefficient of x.

So we have:

Therefore the solution is x >= 8/13

answer: b= 88

The given information is:

n=1086

x=571

Confidence level 99%

First, we need to find the sample proportion. It is given by the formula:

By replacing the known values, we obtain:

Now, the confidence interval is given by:

Where z* is the z-value for the confidence level. As the C.L=99%, then z is:

Now, replace this value into the formula and solve:

The confidence interval is then:

The answer is above.

The value of x is 6.2

Here, we want to find the value of x

To do this, we use the theorem of intersecting chords

By this theorem, the products of the two sides of two chords which intersects are the same

Mathematically, we have this as follows;

The general slope-intercept form of a linear equation is:

----------------------------------------

You have a linear equation parallel to:

That means that both equations have the same slope

m= - 1/2

If the equation passes through (-4 , -1) we can use that point to find the value of the b in the slope-intercept form:

(-4 , -1) x= - 4 y= - 1

We clear the b:

Then you know the values of

m=-1/2

b=-3

The equation in slope-intercept form is:

To graph a linear equation you need two point, as you have (-4, -1) and the point of the y-intercept that is (0,b) = (0,-3)

You put in the plane the two points:

And you draw a line that link the two points to get the final graph:

Step 1:

Let us write out the proportion question,

Step 2:

Cross multiply,

Step 3:

Divide both sides by 10

Hence, x= 1.5.

ANSWERS

a. Yes, congruent. By SSS postulate

b. Yes, congruent. By AAA postulate

c. Yes, conguent. By SAS postulate

EXPLANATION

a. Sides MQ and MN are congruent as shown in the diagram. So are sides PN and PQ. Side PM is shared by both triangles so it must be congruent to both.

b. It is shown in the diagram which angles are congruent:

c. Angles DEC and AEB are vertical angles and they are therefore congruent. The two sides that form those angles are shown congruent in the diagram, so we have a side, the next angle and the next side: SAS postulate.

we can use cross-multiplication

where x is the measure we need

so, the measure is 0.2 in

There are 7 cans of food. Each can contains 9 grams of food.

How much is the total food (in grams)

The person that paid the highest price per ticket is A.

From the information, the following can be deduced:

Person A price per ticket

= Total price / Number of ticket

= 191 / 3

= $63.7 per ticket

Person B price per ticket

= Total price / Number of ticket

= 309/5

= $61.8 per ticket

Person C price per ticket

= Total price / Number of ticket

= 435/8

= $54.4 per ticket

In this case, A paid the highest price based on the calculation above.

Learn more about price on:

brainly.com/question/1153322

#SPJ1

Answer: A

Step-by-step explanation:

Khan

Answer

a) Option A

y = 2x + 10

Option B

y = 3x

b) Option A is represented with the red line and Option B is represented by the blue line.

Total Cost is presented on the y-axis and the Number of rides is presented on the x-axis.

The graph is presented below.

From this graph, we can see that the two lines cross at (10, 30)

So, the two options will have the same rides and the same total cost when

x = 10 rides

y = 30 dollars

Explanation

There are two options to consider,

Let the amount to be paid be y

Let the number of rides be x

Option A

Each ride costs $2

x rides will cost 2x dollars

Activation fee = 10 dollars

Total cost = y

y = 2x + 10

Option B

Each ride costs $3

x rides will cost 3x dollars

Activation fee = 0

Total cost = y

y = 3x

So, we end up with a system of equation for when the number of rides and the total cost for both options become the same

y = 2x + 10

y = 3x

b) We are asked to solve this system of equations by graphing.

To do this, we will first plot the two lines for each equation, then the solution will be where the two lines cross each other.

We will use intercepts to plot the first line

y = 2x + 10

when x = 0,

y = 2x + 10

y = 2(0) + 10

y = 0 + 10

y = 10

First point on this line is (0, 10)

when y = 0

y = 2x + 10

0 = 2x + 10

-2x = 10

Divide both sides by -2

(-2x/2) = (10/-2)

x = -5

Second point on the line is (-5, 0)

For the second option

y = 3x

when x = 0

y = 3x

y = 3(0)

y = 0

First point on this line is (0, 0)

when x = 1

y = 3x

y = 3(1) = 3

Second point on the line is (1, 3)

We will now plot each of the lines by connecting each of the two points obtained for each line.

Hope this Helps!!!

Okay, here we have this:

Considering the provided information, we are going to calculate the requested interval, so we obtain the following:

Then we will assume that the unknown number is x:

-26<2x-2<30

-26+2<2x<30+2

-24<2x<32

-24/2-12(-12, 16)

Finally we obtain that the interval solution is (-12, 16).

Given the equation:

We will find the value of (x) as follows:

a) subtract 5 from both sides

b) Divide both sides by 4

c) Taking the exponential of both sides to remove ln

Finally, divide both sides by 5

So, the answer will be x = 0.09447