The coordinates of the vertices of a rectangle are (4, −3), (2, 3), (11, 6), and (13, 0).

What is the perimeter of the rectangle? Round each step to the nearest tenth.

Enter your answer, as a decimal, in the box.

Answer:

2/15

Step-by-step explanation:

7×4=28

21×10=210

so when reduced to lowest terms its 2/15.

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Answer:

heyy i did this problem a while ago and got kinda stuck on it

The calculated measure of the angle D is (c) 32 degrees

From the question, we have the following parameters that can be used in our computation:

The triangles ABC and DEF

The triangles are similar triangles

This means that the corresponding angles are equal

Given that

A = 32 degrees

And the corresponding angle is D

We have

D = 32 degrees

Hence, the measure of the angle is (c) 32 degrees

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The answer is the last choice.

When x approaches positive infinity, the value of f(x) will also approach positive infinity too.

Notice how we substitute x in the equation with any positive numbers and we will get high f(x) value as the sign of positive infinity approach when x approaches positive infinity.

The degree of a polynomial is the highest power of the variable in the polynomial. In this case, the highest power of w is 3, so the degree of the polynomial is 3.

The leading coefficient of a polynomial is the coefficient of the term with the highest degree. In this case, the leading coefficient is 12.

In summary, the polynomial -9-8w+3w+12w³ has degree 3 and leading coefficient 12.

The ray or segment that is a chord is (d) segment FC

From the question, we have the following parameters that can be used in our computation:

The circle

By definition, a chord is a straight line that joins points of the circle without passing through the center

The ray that has the above properties is ray FC

Hence, the segments that is a chord is (d) FC

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The best description of the graph is "a quadratic function with a constant difference of 2."

A quadratic function is a function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants. In a quadratic function, the graph forms a parabola.

In the given graph, if the differences between consecutive points on the graph are constant and equal to 2, it indicates a constant difference in the y-values (vertical direction) as the x-values (horizontal direction) increase. This is a characteristic of a quadratic function.

On the other hand, an exponential function with a growth factor of 2 would result in a graph that increases at an increasing rate, where the y-values grow exponentially as the x-values increase. This is not observed in the given graph.

Therefore, based on the information provided, the graph best represents a quadratic function with a constant difference of 2.

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Answer:

106.028752

Step-by-step explanation:

First, find the circumference which is 2 pi r.

2pi(45), 90pi, 282.743339

135 out of 360 degrees is 135/360 or 3/8

and 3/8 out of 282.743339 is 106.028752

By completing the square, the vertex form of quadratic equation is (x - 1)² - 3.

In this question we find a quadratic equation in standard form, which must be modified into vertex form by completing the square, which consists in modifying part of the equation into a perfect square trinomial. The vertex form of the quadratic equation is:

y = C · (x - h)² + k

First, write the polynomial in standard form:

x² - 2 · x - 2

Second, use algebra properties to expand the expression:

(x² - 2 · x - 2) + 0

(x² - 2 · x - 2) + 3 - 3

(x² - 2 · x + 1) - 3

Third, use the definition of perfect square trinomial:

(x - 1)² - 3

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The dilation transformation of the triangle ABC by a scale factor of 3, with the point P as the center of dilation indicates;

Side A'B' will be parallel to side AB

Side A'C' will be parallel to side AC

Side BC will lie on the same line as side BC

A dilation transformation is one in which the dimensions of a geometric figure are changed but the shape of the figure is preserved.

The possible options, from a similar question on the internet are;

Be parallel to

Be perpendicular to
Lie on the same line as

The location of the point P, which is the center of dilation, and the lines PC and PA of dilation and the scale factor of dilation indicates that we get;

PB' = 3 × PB

PA' = 3 × PA

PC' = 3 × PC

Therefore; The side B'C' will be on the same line as the side BC

The Thales theorem, also known as the triangle proportionality theorem indicates that;

The side A'C' will be parallel to the side AC

The side A'B', will be parallel to the side AB

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Answer:

38

Step-by-step explanation:

95 x 0.40 = 38

Answer: i am fairly sure its 38

Step-by-step explanation:

Answer:

Step-by-step explanation:

So the final answer is $2274.

The intervals in which the function is decreasing. \([-\pi , -\frac{\pi }{3} ], [\frac{\pi }{3}, \pi ]\). Option 3

We're given a function f(x) = 2 sin x - x, which describes a curve on a graph. We want to find the intervals where this curve is decreasing (going down) within the range of -π to π.

To find when the function is decreasing, we look at its slope. The slope tells us if the curve is going up or down. We find the slope by taking the first derivative of the function: f'(x) = 2 cos x - 1.

We now have an equation for the slope, f'(x) = 2 cos x - 1. A negative slope means the function is decreasing. So, we want to find where f'(x) is less than 0 (negative).

We set up the inequality: 2 cos x - 1 < 0. We solve it to find the x-values where the slope is negative. The solution is cos x < 1/2.

From the inequality cos x < 1/2, we find the intervals within the range of -π to π where the function is decreasing. These intervals are [-π, -π/3] and [π/3, π].

The above answer is in response to the question below as seen in the picture.

Determine the interval(s) in \([-\pi, \pi ]\) on

which f(x) =  2 sin x - x

is decreasing.

1. \([-\frac{\pi }{3}, \frac{\pi }{3} ]\)

2. \([-\frac{\pi }{6}, \frac{\pi }{6} ]\)

3. \([-\pi , -\frac{\pi }{3} ], [\frac{\pi }{3}, \pi ]\)

4. \([-\pi , -\frac{-2\pi }{3} ], [\frac{2\pi }{3}, \pi ]\)

5. \([-\pi , - \frac{5x}{6} ], [\frac{\pi }{6}, \pi ]\)

6. \([-\frac{\pi }{6}, \frac{5\pi }{6} ]\)

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Answer:

Clean and Bright

Step-by-step explanation:

For soapy suds, you would do 13×12, would would give you only 156 sq inches. However, with Clean and Bright, you would do 9×13×8 since it is three dimensional. This would give you 936 cubic inches, meaning it holds the most detergent.

\(x=-\frac{1}{2}\)

You could solve this problem by either: Factoring or by using the Quadratic Formula.

SOLVING BY FACTORING STEPS

STEP 1: Move (2x−1)(x+1) to the left side of the equation by subtracting it from both sides.

\(2x^2+3x-(2x-1)(x+1)=0\)

STEP 2: Simplify 2x^2+3x−(2x−1)(x+1).

\(2x+1=0\)

STEP 3: Simplify each term.

\(2x^2+3x-2x^2-x+1=0\)

STEP 4: Simplify by adding terms.

\(2x+1=0\)

STEP 5: Subtract 1 from both sides of the equation.

\(2x=-1\)

STEP 6: Divide each term by 2 and simplify.

\(x=-\frac{1}{2}\)

SOLVE BY USING THE QUADRATIC FORMULA STEPS

STEP 1: Move all terms to the left side of the equation and simplify.

\(2x+1=0\)

STEP 2: Subtract 1 from both sides of the equation.

\(2x=-1\)

STEP 3: Divide each term by 2 and simplify.

\(x=-\frac{1}{2}\)

Answer:

3/2

Step-by-step explanation:

Simplify the following:

((4 + 1/5)×5)/14

((4 + 1/5)×5)/14 = ((4 + 1/5)×5)/14:

((4 + 1/5)×5)/14

Put 4 + 1/5 over the common denominator 5. 4 + 1/5 = (5×4)/5 + 1/5:

(((5×4)/5 + 1/5) 5)/14

5×4 = 20:

((20/5 + 1/5)×5)/14

20/5 + 1/5 = (20 + 1)/5:

(((20 + 1)/5)×5)/14

20 + 1 = 21:

(21/5×5)/14

21/5×5 = (21×5)/5:

((21×5)/5)/14

((21×5)/5)/14 = (21×5)/(5×14):

(21×5)/(5×14)

(21×5)/(5×14) = 5/5×21/14 = 21/14:

21/14

The gcd of 21 and 14 is 7, so 21/14 = (7×3)/(7×2) = 7/7×3/2 = 3/2:

Answer:  3/2

These are expression written as a function of sine, cosine and tangent. The value of x from the given function is 4.29

Trigonometry expression

These are expression written as a function of sine, cosine and tangent.

Given

tanx² - 1/3 = 0

Add 1/3 to both sides

tanx² - 1/3 + 1/3 = 0 + 1/3

tanx² = 1/3

x² = arctan(1/3)

x² = 18.44

x =4.29

Hence the value of x from the given function is 4.29

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Answer:

2.9°F

Step-by-step explanation:

Make Sure you are not putting in -2.9°F

The new temperature of the substance is 2.9°F.

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now it is given that,

Temperature of a substance in an experiment = −2.4°F

Raise in temperature when it was placed on a table = 5.3°F

So, the new temperature = Temperature of a substance in an experiment + Raise in temperature when it was placed on a table

⇒ the new temperature = −2.4°F + 5.3°F

⇒ the new temperature = 2.9°F

this is the required new temperature.

Thus, the new temperature of the substance is 2.9°F.

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The solution is

a) The slope/rate of change between the inputs in m = -1/2

b) Slope/rate of change between the domain values of 4 and 8 is m = -1/2

c) The slope/rate of change is constant

d) The function is a linear function

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be = A

Now , the value of A is

a)

when the inputs are 0 and 4 , the values of x = 0 and x = 4

So , the values of y = 5 and y = 3 respectively

Let the first point be P = P ( 0 , 5 )

Let the second point be Q = Q ( 4 , 3 )

Now , the slope of the line between the two points is given by

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 3 - 5 ) / ( 4 - 0 )

Slope m = -2/4

Slope m = -1/2

So , the slope of the line m = -1/2

b)

when the domain values are 4 and 8 , the values of x = 4 and x = 8

So , the values of y = 3 and y = 1 respectively

Let the first point be Q = Q ( 4 , 3 )

Let the second point be R = R ( 8 , 1 )

Now , the slope of the line between the two points is given by

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 1 - 3 ) / ( 8 - 4 )

Slope m = -2/4

Slope m = -1/2

So , the slope of the line m = -1/2

c)

The slope of the line m = -1/2 and it is constant

d)

The function is a linear function and the equation of line is given by

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 5 = -1/2 ( x - 0 )

On simplifying the equation , we get

y - 5 = -1/2 ( x )

Adding 5 on both sides of the equation , we get

y = ( -1/2 )x + 5

Therefore , the equation of line is y = ( -1/2 )x + 5 and it is linear

Hence , the equation of line is y = ( -1/2 )x + 5 and it is linear where the slope of the line is m = -1/2

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Answer:

least common denominator = 7y

Step-by-step explanation:

3/y = 21/7y

1/7y and 21/7y have a least common denominator of 7y.

Answer:

9p

Step-by-step explanation:

(x + p)(x + 9) =

= x^2 + 9x + px + 9p

= x^2 + (9 + p)x + 9p

The constant term is 9p.

The calculated value of the probability of B is (c) 0.25

From the question, we have the following parameters that can be used in our computation:

P(A or B) = 0.3

P(A and B) = 0.2

P(A/B) =0.8

First, we have

P(A/B) = P(A and B)/P(B)

Substitute the known values in the above equation, so, we have the following representation

0.2/P(B) = 0.8

So, we have

P(B) = 0.2/0.8

Evaluate

P(B) = 0.25

Hence, the probability of B is 0.25

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The options that are valid conclusions about the data include:

More than half of the students are not enrolled in French or Spanish. This conclusion is valid, as 25 out of 120 students are not enrolled in either French or Spanish, and 25 is more than half of 120.

Of the students that are enrolled in French, fewer than half of them are also enrolled in Spanish. This conclusion is valid, as only 30 out of 50 students enrolled in French are also enrolled in Spanish, which is less than half.

Therefore, the valid conclusions are B and E.

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Answer:

C. It will be positive and less than or equal 30

Answer:

C. It will be positive and less than or equal 30.

Step-by-step explanation:

She is dividing -30 by a negative integer.

The greatest negative integer is -1.

(-30)/(-1) = 30

Then we can try -2.

(-30)/(-2) = 15

Try -3.

(-30)/(-3) = 10

As we try smaller negative numbers, the quotients become smaller. The largest quotient possible is 30.

Answer: C. It will be positive and less than or equal 30.

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

-29801986.014846

Step-by-step explanation:

this is answer

Answer:

S=L+W

8+8+8+8

16+16

=56

Answer:

$38.89.

Step-by-step explanation:

In this problem we have a quadratic equation, which, as you may already know, consists on a curve that has a maximum or minimum value, depending whether the x^2 value has a positive of negative sign before it.

In this case, the equation has a negative sign, which indicates that his function has a maximum point, which is the same point we are looking for in order to get the price widgets should be sold for, for the company to make the maximum profit. Now that we know that, let's go ahead and find the maximum value of the function. I'm gonna solve this on a digital board and attatch the images to this answer.

If you don't feel familiar with the process of taking derivatives, I suggest you watch some videos of explanations of this topic. Also, you can use Ron Larsson's Calculus books to practice derivation. Good luck!

Answer:

this might be the answer