What is the slope of the line that contains the points (9, –4) and (1, –5)?

Answer:

B. 17.07 centimeters, because height = Square root of the difference of the squares of 18 and 5.7.

Step-by-step explanation:

The formula of height (h) of a cone is: [tex]h=\sqrt{l^2-r^2}[/tex], where,

[tex]l[/tex] = Slant height of cone,

[tex]r[/tex] = Radius of cone.

Upon substituting slant height = 18 cm and radius = 5.7 cm, we will get,

[tex]h=\sqrt{(18)^2-(5.7)^2}[/tex]

[tex]h=\sqrt{324-32.49}[/tex]

[tex]h=\sqrt{291.51}[/tex]

[tex]h=17.0736639301586348\approx 17.07[/tex]

Therefore, the height of cone is 17.07 cm and option B is the correct choice.

Answer with Step-by-step explanation:

F = {(0, 1), (2, 4), (4, 6), (6, 8)}  

G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}

(F+G)(2)=F(2)+G(2)

            = 4+5

            = 9

F = {(0, 1), (2, 4), (4, 6), (6, 8)}  

G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}

(F - G) (6) =F(6)-G(6)

               =8-9

               =-1

F = {(0, 1), (2, 4), (4, 6), (6, 8)}

G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}

(F.G) (2) =F(2).G(2)

             = 4×5

            = 20

As the number of weeks increases, the number of tickets sold decreases so option (A) will be correct.

The link between lines and points is described by a graph, which is a diagrammatic representation of a network. A graph is made up of some points and the distance between two.

In another word, graph is geometrical relation of the analytical variable.

For example to draw the equation y = 6x +8 this will draw a straight line in the coordinate geometry.

In the given question it is clearly visible that as the weeks in theater are increasing the points are going down on the y-axis which is tickets sold.

As the number of weeks increases, the number of tickets sold decreases hence option (A) will be correct.

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Answer:

see.

Step-by-step explanation:

The value of sin is the same at the same distance from the cuadrant limit of the point. For the case of 20°, we have that the sin is the same in the following case:

As 20 is positive we use the limit cuadrant at 90°. The distance of 20 to 90 is 70. So, sin(20)=sin(90+70)=sin(160).

Also we have that sin(x) is a odd function, so sin(-x)=-sin(x), so

sin(-20°)= -sin(20°)

-sin(-20°)=sin(20°)

-sin(340°)=sin(20°).

and,

sin(-160°)=-sin(160°)

-sin(-160°)=sin(160°)

-sin(200°)=sin(160°)=sin(20°).

Answer:

A

Step-by-step explanation:

l x w = area

 (x+24)(x-10) means (x+24) *(x-10) which is to calculate the area

Answer:  The measure (x+24)(x-10) represents the AREA of the rectangular school gym.

Step-by-step explanation:  Given that a rectangular school gym has a length of (x+24) and a width of (x-10).

We are to find the measure that (x+24)(x-10) represent.

The expression (x+24)(x-10) is the product of the length and breadth of the given rectangular school gym.

Also, we know that

the product of the length and breadth of any rectangle is equal to the area of that rectangle.

Therefore, the measure (x+24)(x-10) represents the AREA of the rectangular school gym.

We have the mean, μ = 21 and the standard deviation, σ = 3

We want P(X<15)

Standardizing gives:

P(X<15) = P(Z<(15-21)/3)
P(X<15) = P(Z< -2) ⇒ When the value of the z-score is negative, we will read the value of z<2 on the z-table then subtract the answer from 1

P(X<15) = 1 - P(Z<2)
P(X<15) = 1 - 0.9772
P(X<15) = 0.0228

the probability that pizza takes less than 15 minutes to be delivered is 0.0228 = 2.28%

 Round answer as needed

Answer:

(C)

Step-by-step explanation:

Explanation of Susie's method:

The given equation is:

[tex]2x-3=4x-2[/tex]

[tex]2x-2x-3=4x-2x-2[/tex]

[tex]-3=2x-2[/tex]

[tex]-3+2=2x[/tex]      ( she made a mistake when she subtracted 2)

[tex]-1=2x[/tex]

[tex]x=-\frac{1}{2}[/tex]

Susie made a mistake in step 4 when she subtracted 2,

Thus, option C is correct.

Answer:

105.9912 liters of wine can be held in a wine barrel whose capacity is 28.0 gal.

Step-by-step explanation:

Proportion states that the two ratios or fractions are equal.

Let x be the liters of wine can be held in a wine barrel whose capacity is 28.0 gal.

Given that:

1 gal = 3.7854 l

then

by definition of proportions;

[tex]\frac{1}{3.7854} =\frac{28}{x}[/tex]

By cross multiply we get;

[tex]x = 28 \times 3.7854 = 105.9912[/tex] liters

Therefore, 105.9912 liters of wine can be held in a wine barrel whose capacity is 28.0 gal.

.

h ( t ) = 112 t - 16 t²
When the rocket is 196 feet in the air:
196 = 112 t - 16 t²
16 t² - 112 t + 196 = 0

divide everything by 4 ( just makes numbers smaller and easier to work with)

4 t² - 28 t + 49 = 0

Now factor the equation:
( 2 t - 7 )² = 0
2 t - 7 = 0
2 t = 7
t = 7 : 2
t = 3.5 s

The rocket will be 196 feet in the air after 3.5 seconds.

Answer:

Ounces of tuna will go on the x axis and calories on the y axis.  This is because the relationship between the number of ounces a person eats and the calories he consumes then is a positive correlation (a line with a positive slope which goes from lower left to upper right) with x being the independent variable. As x increases, y increases. In other words you can ONLY change the amount of calories you consume WHEN you change the amount of ounces you eat.  You can't change the number of calories independent of the number of ounces. The independent variable goes along the x axis, cuz the x variable always represents the independent variable.

Step-by-step explanation:

the odds of picking a heart is 13:39.

the statement is TRUE.

To determine whether the statement is true or false, we need to calculate the odds of picking a heart from a standard deck of 52 cards and compare it to the given odds of 13:39.

Step 1: Calculate the number of hearts in a standard deck.

A standard deck of 52 cards contains 13 hearts.

Step 2: Calculate the total number of cards in the deck.

A standard deck of 52 cards contains 52 cards.

Step 3: Calculate the odds of picking a heart.

The odds of picking a heart can be expressed as the ratio of the number of favorable outcomes (hearts) to the number of unfavorable outcomes (non-hearts).

Number of hearts: 13

Number of non-hearts: 52 - 13 = 39

So, the odds of picking a heart is 13:39.

Now, let's compare the calculated odds (13:39) with the given odds (13:39).

Since the calculated odds match the given odds, the statement is TRUE.

The value of k in the equation is k = 17 and the equation 5x + 2y = 17 and

5x + 14y = 119 has infinite number of solutions

What is an Equation?

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.

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 data ,

Let the first equation be represented as A

Now , the value of A is

35x + 114y = 119   be equation (1)

Let the second equation be represented as B

Now , the value of B is

5x + 2y = k

For the system of equations to have infinite number of solutions ,

equation (1) = equation (2)

So , 5x + 2y = 35x + 114y

And , 7 ( 5x + 2y ) = 35x + 114y

So , the value of k = 119/7

On simplifying the equation , we get

k = 17

Therefore , the value of k is 17

Hence , the value of k from the equation is k = 17

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Yes, it is possible for one point to be in two different planes. Imagine this: take the point in the corner of a room. That point is part of 3 planes (both walls and the floor).

To add, in mathematics, a plane is a flat, two-dimensional surface. 

Answer:

Yes, it is possible for one point to be in two different Planes.

This can be explained in following way.

The Intersection of two plane is a line.And on a line infinite number of point lies.

So,"yes" one point or Infinite number of points can be common between two different planes.

Answer:

B. [tex]\frac{1}{2}\times (5.7)\times (1.9)[/tex]

Step-by-step explanation:

We have been given an image of a triangle. We are asked to choose the correct option that represents the area of the shaded region.

We know that the area of a triangle is half the product of its height and base.

Upon looking at our given diagram we can that shaded region is in form of triangle and the height of both triangles is 5.7 meters. We can also see that the base of shaded triangle is 1.9 meters.

[tex]\text{Area of triangle}=\frac{1}{2}\times (\text{Height *Base})[/tex]

[tex]\text{Area of shaded region}=\frac{1}{2}\times (5.7)\times (1.9)[/tex]

Therefore, option B is the correct choice.

Answer:

b.

Step-by-step explanation:

Solution:

The square of the given equation can be completed as below:

Here we will make the terms on left hand side such that it gets the form of [tex]a^2\pm2ab+b^2=(a\pm b)^2[/tex]

[tex]x^2-x-3=0\\\\\text{Isolate the constant}\\\\x^2-x=3\\\\x^2-2\times\frac{1}{2}\times x +\frac{1}{2}^2=3+ \frac{1}{2}^2\\\\(x-\frac{1}{2})^2=\frac{13}{4}\\[/tex]

Hence the correct option is isolating the constant , -3.

The polynomial equation x^2 – x – 3 = 0 is a quadratic equation, and the first step in completing the square is (d) isolating the constant, –3

Polynomials are expressions that are represented with variables and coefficients

Below are the steps taken to determine Bao Yu's first step

The equation is given as:

x^2 – x – 3 = 0

Isolate the constant -3 in the equation.

So, we have:

x^2 – x = 3

Hence, the first step in completing the square is (d) isolating the constant, –3

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