8. Which two-dimensional figure is formed when a right rectangular pyramid
is sliced by a plane through the pyramid's vertex and perpendicular to the
pyramid's base?
A. a square
B. a triangle
C. a trapezoid
D. a parallelogram

Answer:

y = 3x + 15

Step-by-step explanation:

1. Find the reciprocal of the slope and change signs: -3

2. y = 3x + b

3. Plug in x and y --> b = 15

4. Make your equation using y = mx + b: y = 3x + 15

The equation of the perpendicular line 't' will be equal to y = -3x + 3.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that line, s has an equation of y=1/3-X-5. Line t is perpendicular to line 's' and passes through (-2, 9).

The equation of the line will be calculated as,

For the perpendicular line, the slope is reciprocal with a negative sign,

m = -3

The equation of the line will be written as,

y = mx + c

y = -3x + c

9 = ( -3 x - 2) +c

c = 9 - 6

c = 3

The equation is,

y = mx + c

y = -3x + 3

Therefore, the equation of the perpendicular line 't' will be equal to y = -3x + 3.

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1/3 is a proper fraction

hope it helps...!!!

Answer:

D. No solution

Step-by-step explanation:

Since, both the lines are going parallel to each other. Hence, there will be no solution.

We get that statements 2 and 3 are correct statements.

We have given that the

6>-2

We have to find the correct statement from the given statement,

Less than or equal to relation is one of the inequalities used to represent the relation between two non-equal numbers or other mathematical expressions.

1) 6/2<2/-2

3<-1

This is not possible therefore first statement is not correct

2) 6/-2<-2/-2

-6<1

This is the correct statement.

3)

6/2<-2/2

3<-1

This is the correct condition.

Therefore this is a correct statement.

Therefore we get that statements 2 and 3 are a correct statements.

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Answer:

A D F

Step-by-step explanation:

dont waste your time :)

Answer:

Answer is B.

Step-by-step explanation:

Domain: All real numbers except -6

Set denomator of x + 6 = 0

x + 6  = 0

x ≠ -6

If we plug in x = -6 into the equation we get 4/0 making it undefined. So exclude x = -6 on domain.

Range: All real numbers except 0

y ≠ 0

The equation which models the distance (d) of the weight from its equilibrium after time (t) is equal to d = -9cos(2π/3)t.

The period of a cosine function simply means the total length (distance) of the interval of values on the x-axis over which a graph lies and it's repeated.

Since the weight attached is at its lowest point at time (t = 0), therefore, the amplitude of equation will be negative nine (-9)

For the angular velocity at time period (t = 3s), we have:

ω = 2π/T

ω = 2π/3

Mathematically, the standard equation of a cosine function is given by:

y = Acos(ω)t

Substituting the given parameters into the formula, we have;

d = -9cos(2π/3)t.

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Answer:

B.    d =    -9cos ( 2 pi/3 t)

Step-by-step explanation:

Have a good day

Answer:

1. Mean is 14.5  Median is 13.5   Mode is 13

2. Mean is 84  Median is 84  Mode is 84

3. Mean is 26.6 Median is 27 Mode is 20

4. Mean is 87   Median is 87 Mode is 87

5. Mean is 14.6 Median is 14 Mode is 14,12

Step-by-step explanation:

Hope this helps!! May not be entirely right but tried to do it quick for you

Answer:

b) the coefficient of x of jamie's polynomial is 5 .

c) The two polynomials are :

x³ + 4x² + 5x + 4 

x³ - 2x² + 5x + 4

Step-by-step explanation:

consider these two Monic polynomials of degree 3:

P : x³ + ax² + bx² + c  

Q : x³ + a₁x² + bx² + c  

P × Q = x⁶+ (a+a₁)x⁵ + (aa₁+2b)x⁴ + (ab+a₁b+2c)x³ + (ac+a₁c+b²)x² +2bcx + c²

Now we compare the coefficients of P × Q and  x⁶ + 2x⁵ +2x⁴ + 18x³ + 33x² + 40x + 16

b)

c² = 16 ⇒ c = 4  (c is positive)

2bc = 40 ⇒ 8b = 40 ⇒ b = 5 then the coefficient of x of jamie's polynomial is 5 .

c)

In order to find a and a₁ we need to solve this system:

a+a₁ = 2                   a+a₁ = 2

                      ⇔

aa₁+2b = 2              aa₁ = -8

Solve the system and you’ll get :

a = 4 and a₁ = -2   or a = -2 and a₁ = 4

Let’s choose a = 4 and a₁ = -2 then

the two polynomials are respectively:

P : x³ + ax² + bx² + c  = x³ + 4x² + 5x + 4

Q : x³ + a₁x² + bx² + c  = x³ - 2x² + 5x + 4

Answer:

red 8/32 = 1/4

purple 14 / 32 = 7/16

yellow 6/32 = 3/16

green 4 / 32 = 1/8

Step-by-step explanation:

if you add all the crayons together you get 32

you put each number over 32 and then divide it

An interval can be defined as a set of real numbers. The interval (44-47), (48-51), and (56-59) will have frequencies of 3, 4, and 1.

A collection of real numbers between two specified values known as the interval's endpoints is referred to as an interval.

The data set given to us is 42, 43, 46, 47, 47, 48, 49, 50, 51, 53, 55, 55, 59. Therefore, the frequency can be written as,

Thus, the interval (44-47), (48-51), and (56-59) will have frequencies of 3, 4, and 1.

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Answer:

3 4 1

Step-by-step explanation:

I took the assignment and got it right

So, in response to the above question, we can state that equation the response is: There are countless options.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical. For examples, in the equation 3x + 5 = 14, because equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The emblem and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

The two lines' equations are y = 1/4 (x - 4) and y = 1/4 (x - 1)

By equating them, we obtain: 1/4(x - 4) = 1/4x - 1.

To get rid of the fractions, multiply both sides by 4 as follows: x - 4 = x - 4

This equation may be written as 0 = 0, which is a constant.

The two lines coincide and have an endless number of solutions as a result.

Hence, the response is: There are countless options.

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Answer:

??

Step-by-step explanation:

well according to G it's x=4±5i lol

Step-by-step explanation:

I couldn't figure it out on my own had to G it. sorry if this doesn't help

The derivative of h(x) in A is 2x+24

h'(x)=0 g'(x)=0

2x+24=0 2x=0

x=-12 x=0

Similarly the derivative of h(x) in D is 2x-24

h'(x)=0 g'(x)=0

x=12 x=0

We know that the only difference comes down to the y-value when substituting x=0 in h(x).

The y-value of the vertex of h(x) must be +12 the y-value of the vertex of g(x).

We have to add 12 to get to the x-value, which means that the third option or C is your answer.

Answer:

1. x=10; y=10 x root 2

Step-by-step explanation:

This is a 45-45-90 triangle, so the legs of the right triangle have an equal length. The formula states that y=x root 2, which is 10, so 10 root 2. The other triangles are all 30-60-90 triangles.

Step-by-step explanation:

1/100 .................

Answer:

The slope is [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Hi there!

We are given the points (0, 4) and (6, 13)

We want to find the slope of the line containing these two points

Slope (m) is the steepness of the line. When calculating from two points, you use the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

Although we have what we need to find the slope, let's label the values of the points to avoid confusion and mistakes.

[tex]x_1=0\\y_1=4\\x_2=6\\y_2=13[/tex]

Substitute these values into the equation

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{13-4}{6-0}[/tex]

Subtract

m=[tex]\frac{9}{6}[/tex]

Simplify

m=[tex]\frac{3}{2}[/tex]

The slope of the line is 3/2

Hope this helps!

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Answer:

same thing I am doing help me

Answer:

3. Volume =  

4  πr3

3

=  

4 ×π×93

3

=  972π

=  3053.6280592893 inches3

2.Volume =   πr2h

=  π×22×12

=  48π

=  150.79644737231 inches3

1.Volume =  

1  πr2h

3

=  

1 ×π×72×15

3

=  245π

=  769.6902001295 inches3

Step-by-step explanation:

volume calculator

Answer:

f ( x ) = sin ( x )

Step-by-step explanation:

Answer:

that is a f(X)=sin(x) curve

Step-by-step explanation:

the curve cuts the origin as it moves upwards and has the same amplitude

Answer:

B

Step-by-step explanation:

B   there is two values of y for x = 3.5     so ....not a function

Answer:

The period is the change in x required for the function to return to the same value, changing in the same direction. The first two table entries are v(x) = 41.7 and 35.7. The next time that sequence appears is when x=44, so the period is ...

 period = 44 -4 = 40 . . . seconds

__

The minimum table value is 20; the maximum is 44, so the midline of the function is their average:

 midline = (20 +44)/2 = 32

__

The amplitude is the maximum deviation from the midline, so is ...

 amplitude = 44 -32 = 12

Step-by-step explanation:

Answer:

60 cubic inches

Step-by-step explanation:

volume of prism

= area of triangular base x length(or height)

= (1/2 x base of triangular base x height of triangular base) x length

= (1/2 x 2 x 3) x 20

= 60 cubic inches

hope this helps!

Answer:

Start at 2 1/2 plot that. Then go to 3 3/10 which is 3 right of the whole number 3 and plot it. Lastly, draw lines or bumps to represent going from 2 1/2 to 3 3/10.

Step-by-step explanation:

The Simplest way (This includes the graphing part but I advise you to use the addition steps first)

I always like to convert mixed numbers into decimals.

2 1/2 is 2.5 and 4/5 is 0.8.

2.5 + 0.8 = 3.3 which is 3 3/10

Graph:

2 1/2 should be in the middle of the whole numbers 2 and 3.

That is your starting point.

Now to add 4/5 which is 0.8 you could do 2.5 + 0.8 = 3.3

You need to find your ending point.

Your ending point should be 3 tickmarks to the right of 3.

Now, you could draw hop marks or arrows starting from 2 1/2 to 4/5

Addition Steps:

First, convert 2 1/2 to an improper fraction.

2x2 + 1 = numerator.

4+1 = 5

5/2 is 2 1/2.

Now you need to find a common denominator for 2 and 5.

This should be 10.

Multiply 5/2 by 5/5

Multiply 4/5 by 2/2

25/10 and 8/10 should be the answers

Now do 25+8 but keep the denominator 10.

25+8 is 33/10.

You could convert it to 3.3 which is 3 3/10  

3 3/10 is on your number line.

The probability of picking a golfball then a basketball is 7/200

The probability of picking two baseballs is 3/20.

The probability of picking a baseball then a football is 1/12.

The probability of picking two footballs is 1/30

Probability is used to calculate the likelihood of an event happening. The odds the event occurs is 1 and the probability that the event does not occur is 0.

The probability of picking a golfball then a basketball = 7/25 x 3/24 = 7/200

The probability of picking two baseballs = 10/25 x 9/24 =18/120 = 3/20

The probability of picking a baseball then a football = 10/25 x 5/24 = 1/12

The probability of picking two footballs = 5/25 x 4/24 = 1/30

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Answer:

$900.47

Step-by-step explanation:

you minus $50.47 (%6) from $900.47

The total cost of an $849.50 laptop after adding a 6% sales tax will be equal to $900.47.

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the data provided in the question,

Price of laptop = $849.50

A tax of 6% on the Price of the laptop, so the tax will be,

849.50 × 6/100 = $50.97

Then, the total cost of the Laptop will be,

$849.50 + $$50.97 = $900.47

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Using the equation of the circle, it is found that since it reaches an identity, the point (√5, 12) is on the circle.

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In this problem, the circle is centered at the origin, hence [tex](x_0, y_0) = (0,0)[/tex].

The circle contains the point (-13,0), hence the radius is found as follows:

[tex]x^2 + y^2 = r^2[/tex]

[tex](-13)^2 + 0^2 = t^2[/tex]

[tex]r^2 = 169[/tex]

Hence the equation is:

[tex]x^2 + y^2 = 169[/tex]

Then, we test if point (√5, 12) is on the circle:

[tex]x^2 + y^2 = 169[/tex]

[tex](\sqrt{5})^2 + 12^2 = 169[/tex]

25 + 144 = 169

Which is an identity, hence point (√5, 12) is on the circle.

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