Which statement can be used to prove that a given parallelogram is a rectangle?

A.The opposite sides of the parallelogram are congruent.

B.The opposite angles of the parallelogram are congruent.

C.The diagonals of the parallelogram bisect the angles.

D.he diagonals of the parallelogram are congruent.

Final answer:

The equation y - 2 = 6x is rewritten in the y = mx + b form by simply adding 2 to both sides resulting in y = 6x + 2, where 6 is the slope and 2 is the y-intercept.

Explanation:

The equation y - 2 = 6x is not fully written in the y = mx + b form, which is the standard form of a linear equation where m represents the slope and b represents the y-intercept. To convert the given equation into the y = mx + b form, we need to isolate y on one side of the equation.

First, we will add 2 to both sides of the equation:

y - 2 + 2 = 6x + 2

Which simplifies to:

y = 6x + 2

Now we have written the equation in the desired form, with m = 6 and b = 2. This linear equation represents a line with a slope of 6 and a y-intercept at (0, 2). Graphically, the line can be plotted using these values, and a table of points can be created by plugging various x values into the equation.

Answer:

there right

Step-by-step explanation:

Without seeing the actual graph, it's impossible to provide an accurate response. However, several common types of function graphs have been described.

Unfortunately, without seeing the graph in question, it is not possible to provide an accurate response to your question regarding which function is graphed. However, we can discuss what a few different types of common functions might look like.

A straight line with a positive slope from the lower left to the upper right indicates a direct relationship between x and y values, such as y = x or y = 2x + 1.

A curved graph that resembles a U shape either upright or upside down might suggest a quadratic function such as y = x^2 or y = -x^2.

As for time-graphs, the gradient of a velocity-time graph gives acceleration, while the area under the velocity-time graph gives displacement. The gradient of a position-time graph gives velocity.

Supply and demand curves are graphs used in economics. The supply curve typically slopes upward, and the demand curve usually slopes downward.

Without seeing the actual graph or having more details, this is the best general information that can be provided.

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The piecewise-defined function that is graphed below include the following: D. [tex]f(x)=\left\{\begin{array}{Ir}x^3-3, & x \leq 2\\x^2+6, & x > 2\end{array}\right[/tex]

In Mathematics and Euclidean Geometry, a piecewise-defined function is a type of function that is defined by two or more mathematical expressions over a specific domain.

Note: The inequality symbol < or > represents a hollow dot (circle).

The inequality symbol ≤ or ≥ represents a solid dot (circle).

Generally speaking, the domain of any piecewise-defined function is the union of all of its sub-domains. By critically observing the graph of the given piecewise-defined function, there is a solid circle above 2 that decreases to the left and a hollow circle above 2 that increases to the right.

In this context, the piecewise-defined function is defined over the following domains;

Domain = x ≤ 2, for [tex]f(x) = x^3 - 3[/tex].

Domain = x > 2, for [tex]f(x) = x^2+6[/tex].

Complete Question:

Which of the following functions is graphed below?

Answer:

The statements " cost of the number of the same articles purchased varying with the number purchased' shows direct variation .

Option (a) is correct .

Step-by-step explanation:

Definition of the direct variation

When two variables that can be expressed by an equation in which one variable is equal to a constant times the other.

i.e

[tex]x \propto y[/tex]

x = ky

As the x increases than y is also increase .

As given the statement in the question

The cost of the number of the same articles purchased varying with the number purchased.

i.e

As the number of purchased article increases thus cost of the articles also increases .

Therefore the statements " cost of the number of the same articles purchased varying with the number purchased' shows direct variation .

Option (a) is correct .

Answer:

2.

Step-by-step explanation:

Please find the attachment.

We have been given a function formula [tex]y=2x^2-8x+5[/tex]. We are asked to determine the number of x-intercepts that our function could have by graphing.

Since our given function is a quadratic function, so it could have at-most two x-intercepts as it will cross x-axis at-most two times.

Upon looking at our attached graph we can see that our given function crosses x-axis at two points, therefore, our given function has two x-intercepts.

Answer:

1

Step-by-step explanation:

Step 1: Select 2 points  

(0,3)     (0.5, 3.5)

x1,y1     x2,y2

Step 2: use average rate of change formula

[tex]\frac{y2-y1}{x2-x1}[/tex] = average rate of change

[tex]\frac{3.5-3}{0.5-0} =\frac{0.5}{0.5} =1[/tex]

Step-by-step explanation:

answer:

x^2 + 5x + 4 = 0

x²+4x+x+4=0

x(x+4)+1(x+4)=0

(x+4)(x+1)=0 is your answer

Answer:

8:10

Step-by-step explanation:

Answer:

m∠BDR=63°  

Step-by-step explanation:

It is given that  line DR tangent to Circle O and m∠BCD=63°, then the measure of the angle BDR can be determined as:

Since, angle BDR is made between the chord and the tangent, and we know that the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment, therefore

m∠BCD=m∠BDR=63°

Hence, the measure of angle BDR=63°.

Answer:

At president bush's inauguration in 2005, the newspaper headline stated there were about 400,000 people in attendance.

Now, rounding to nearest ten thousand the greatest number will be: 404999.

And the smallest number will be : 395000

So, the largest number of people who could have been here is 404999.

And the smallest number of people who could have been here is 395000.