vera wants to prove that any rectangle is also a parallelogram

a) The slope of the equation is 6

b) The graph touch the y- axis at (0, 2) , (1, 8) and so on.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Xander has biked 2 miles.

and, average of 6 miles each day.

So, if the number of days be x and total number of miles traveled be y.

Then , the equation to represent the situation

y= 6x+ 2

a) the slope of the equation comparing to y= mx +b

So, slope= 6

b) The graph touch the y- axis at (0, 2) , (1, 8) and so on.

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The coefficient of the term 8x² is 8 and the exponent is 2 and the coefficient of the term -2x is -2 and the exponent is 1.

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = abˣ  in mathematics, where x is the independent variable

From the expression, a is the coefficient, x is the exponent, and b is the variable

For the term,  y = abˣ, compared with the general equations;

abˣ = 8x²

a = 8 and x = 2

This indicates that the term's coefficient is 8 and its exponent is 2.

Similarly for the second term -2x

So the coefficient of the term -2x is -2 and the exponent is 1

Hence, the coefficient of the term 8x² is 8 and the exponent is 2 and the coefficient of the term -2x is -2 and the exponent is 1.

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Let's begin by listing out the given information:

We will observe that both equations have the same slope but different y-intercept. This implies that both equations are parallel to one another. This means that both equations never intersect at any point & as such, have no solution.

Hence, the correct answer is B. Ben is incorrect. Since the equations have the same slope and different​ y-intercepts, the system has no solution.

Answer:

1 These 5 main features are the title, scale, points, labels, and line.

2. Relations are a group of ordered pairs from one set of objects to another set of objects while functions are relations that connect one set of inputs to another set of outputs. So all functions are relations while all relations are not functions.

3. To find the domain and range, we simply solve the equation y = f(x) to determine the values of the independent variable x and obtain the domain. To calculate the range of the function, we simply express x as x=g(y) and then find the domain of g(y).

4. The slope equation says that the slope of a line is found by determining the amount of rise of the line between any two points divided by the amount of run of the line between the same two points. In other words, Pick two points on the line and determine their coordinates.

5. To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'.

6. An example of a linear equation is: 2x + y - 3 = 0. It can be written in the standard form, the slope-intercept form, and the point-slope form. Here we mainly used the slope-intercept form y=mx+c y = m x + c . To write linear equations find the slope and y-intercept and then substitute these values into the equation.

Answer:

2^5m^15n^10

Step-by-step explanation:

Answer:

16m^12n^8t^4

Step-by-step explanation:

when raising exponents to another exponent you multiply the exponents

Using the t-distribution, the 95% confidence interval estimate of the population mean rating for Miami is of:

(4.29, 7.71).

The bounds of the confidence interval are given according to the following rule:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which the meaning of the parameters are:

Using a calculator from the 50 observations given in this problem, the values of the parameters are as follows:

[tex]\overline{x} = 6, s = 2.86, n = 50[/tex]

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 50 - 1 = 49 df, is t = 2.0096.

Hence the lower bound of the interval is given by:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 6 - 2.0096\frac{6}{\sqrt{50}} = 4.29[/tex]

The upper bound of the interval is given by:

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 6 + 2.0096\frac{6}{\sqrt{50}} = 7.71[/tex]

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Answer: you got 1.9 1.57 2.45 and 2.125

Step-by-step explanation:

The intersection of vertical lines A and B is  3 and 4.

We are going to apply the sets theory here. In sets theory, the intersection of two elements means the values those elements have in common.

So given: A = {1, 2, 3, 4} and B = {3, 4, 5}

The intersection of A = {1, 2, 3, 4} and B = {3, 4, 5} is {3,4} since they both have 3 and 4 common.

Therefore, vertical lines A and B have intersection of 3 and 4.

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We can draw the following picture:

Since we have a right triangle with hypotenuse equal to 28ft, we can use the trigonometric function. That is, we can write the following relationships:

both give the same result.

If we use the first one, we have

since sin30=0.5, we have

that is, RG = 14 ft, which corresponds to the first option

Since ∠VST measures 90°, the measure of ∠RSV must also be 90° because the two angles are linear pair.

Since m∠RSU=51°, then the measure of ∠USV is as follows:

Answer: When the Ice Cream Parlor sells 50 ice cream cones, they make $85 dollars in profit.

Step-by-step explanation:

x = cones

the function f tells us the profit for whatever x

1) What we have in the polygon P is at first a

90º Rotation Clockwise because it is in the direction of the clock.

90º Rotation Clockwise

Tracing a line inside the polygon P, we can count approximately 10 units to the right in the translation.

T

Answer:

BD - AC = 0

Step-by-step explanation:

BC = 36 , CD = 15 and BD = x

As these are forming right angled triangle,

Using Pythagorean theorem,

Taking square root on both sides

As the given shape is rectangular, the sides parallel to each other will have same values.

AB = 15 , AD = 36 and AC = x

Now,

BD - AC = 39 - 39 = 0

Hence,

BD - AC = 0

The markup indicates the difference between the selling price and the item's cost to the business.In general, a corporation generates more money the higher the markup.The retail price of a product less its cost is known as markup, although the margin percentage is determined in a different way.

Calculate percentage on markup based on cost ?

Selling price = cost + markup

= 1.17+0.78

=1.96

percentage markup based on cost = markup/cost*100

0.78/1.17*100

=  66.66

percentage on selling  = percentage on markup cost/100+percentage on cost

=  66.66/100%+66.66

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The maximum displacement of this cosine wave function is equal to 8 inches.

The frequency of this cosine wave function is equal to 1/8 Hertz.

The time (t) required for one cycle is equal to 8 seconds.

Mathematically, a cosine wave simply refers to an equation of simple harmonic motion (SHM) and it is modelled by this mathematical expression:

y = asinωt = asin2πft     ......equation 1.

Where:

From the information provided, the equation for this simple harmonic motion (SHM) is given by:

d = -8cos(π/4)t           ......equation 2.

By comparing equation 1 and equation 2, we have the following parameters:

Maximum displacement or amplitude, a = |-8|

Taking the absolute value of a, we have:

Maximum displacement or amplitude, a = 8

For the frequency, we have:

Angular velocity, ω = 2πf

Making frequency (f) the subject of formula, we have:

Frequency (f) = ω/2π

Frequency (f) = (π/4)/2π

Frequency (f) = π/8π

Frequency (f) = 1/8 Hertz.

Finally, we would calculate the amount of time (t) required for one cycle as follows:

Time (t) = 1/f

Time (t) = 1/(1/8)

Time (t) = 8 seconds.

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Complete Question:

An object moves in simple harmonic motion described by the equation d = -8cos(π/4)t, where t is measured in seconds and d in inches. Find the following:

maximum displacement

the frequency

the time required for one cycle.

Answer:

Step-by-step explanation:

If he eats 2 carrot he left with 4 carrot.

If he eats 3 carrot he left with 3 carrot.

If he eats 4 carrot he left with 2 carrot.

Step-by-step explanation:

Consider the provided information,

Max has 6 carrots. He eats more than 1 carrot. He has more than 1 carrot left.

He eats more than 1 carrot that means he can eat 2, 3, or 4 carrots.

Note. He can't eat 5 carrots because 6-5 = 1 which is not more than 1.

If he eats 2 carrot:

6-2=4

If he eats 2 carrot he left with 4 carrot.

If he eats 3 carrot:

6-3=3

If he eats 3 carrot he left with 3 carrot.

If he eats 4 carrot:

6-4=2

If he eats 4 carrot he left with 2 carrot

Answer: F

Step-by-step explanation:

[tex]\sin(x+y)=\sin x \cos y+\cos x \sin y[/tex]

[tex]\tan x=2 \implies \sin x=\frac{2}{\sqrt{5}}, \cos x=\frac{1}{\sqrt{5}}\\\\\sin y=\frac{8}{17} \implies \cos y=-\frac{15}{17}\\\\\sin (x+y)=\left(\frac{2}{\sqrt{5}} \right) \left(-\frac{15}{17} \right)+\left(\frac{1}{\sqrt{5}} \right) \left(\frac{8}{17} \right)\\\\=-\frac{30}{17\sqrt{5}}+\frac{8}{17\sqrt{5}}\\\\=-\frac{22}{17\sqrt{5}}\\\\=-\frac{22\sqrt{5}}{85}[/tex]

the probability of getting a 2 tree times is

You calculate for the triangle and the other part separately,

To find the magnitude of a vector we use the following equation

This comes from taking the value of the hypotenuse by Pythagoras, graphically it can be seen in the following image:

In the case of your exercise, the values would be

95% of the people the doctor expects to have hip replacement surgery will be between the ages of 47 and 63.

The definition of average is that it is the mean value, which is the ratio of the sum of the values in a particular set to all the values in the set.

The amount of variance from the mean is shown by the standard deviation.

Given that the standard deviation is 8 years and the average age is 55.

x=x0, where x0 and are the mean age and standard deviation, respectively, defines the relationship.

The standard deviation is 8 years, while the mean age is 55 years.

The answer is that 55+8=63 and 55-8=47.

Consequently, the age range is 47 years to 63 years.

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To find PQ, notice that M divides PQ into two parts with the same measure.

So, we have:

Now, we can solve the above equation for x, and then find PQ.

To solve the equation, we can apply the same operations on both sides of the equation, until we isolate the variable x and find its value:

So, using x = 4, we obtain:

Therefore, PQ = 86.

SOLUTION

Step 1 :

In this question, we are meant to find the co-ordinates of S,

Where the compostion

Answer:

According to the below diagram, the angle bisectors of ∠A and ∠B are intersecting at point D.

Step-by-step explanation:

3750 is the planning value for the population standard deviation.

In the sampling, one should not recommend trying to obtain the $100 margin of error since the sample size is large.

Firstly, the planning value will be:

= (60000 - 45000) ÷ 4

= 3750

Then the number will be:

= 1.96 × (3750 ÷ 500)²

= 217

Also, for error 200, the desired margin will be:

= 1.96 × (3750 ÷ 100)²

= 5403.

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hello

to solve this question, we need to use the formula for volume of a sphere

from the image above, we can now find the radius of the sphere

from the calculations above, the volume of the sphere is equal to 3052.08cm^3