Ricky scored 20 points in his first game and 18 points in his second game. He played three games during the week and averaged 21 points per game. How many points did he score in his third game?

A parallel line would contain the same slope and have a different y-intercept.

Using the slope of the original line you would start with:

Y = -5x + b, where b is the new y-intercept.

Using the given point replace x and y and solve for b:

-9 = -5(-4) + b

Simplify:

-9 = 20 + b

Subtract 20 from both sides

-29 = b

Now replace b in the equation to get:

Y = -5x -29

Answer:

7.5 square units

Step-by-step explanation:

3x5=15. 15/2=7.5. 7.5 is the area. PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS brainliest.

Answer:

7.5 sq units

Step-by-step explanation:

Let's list out all the points in the triangle.

(0,4) (4,1) and (5,4)

Find the distance b/w each side

distance b/w (0,4) and (4,1) is

[tex]\sqrt{(1-4)^{2}+( 4-0)^{2} }[/tex] =[tex]\sqrt{(-3)^{2}+16 } =\sqrt{9+16}=\sqrt{25} =5[/tex]

distance b/w (4,1) and (5,4) is

[tex]\sqrt{(4-1)^{2}+(5-4)^{2} }=\sqrt{9+1}=\sqrt{ 10 }[/tex]

distance b/w (5,4) and (0,4) is

[tex]\sqrt{(4-4)^2+(0-5)^2}=\sqrt{25} =5[/tex]

So the given triangle is an isoscles triangle meaning 2 sides are equal.

So we can use the formula 1/2*base*height=

1/2*[tex]\sqrt{10}[/tex]*5

=0.5*3.16*5=7.905

So the approximate answer would be 7.5 sq units

Answer:

65 degrees because tangent chord angles are half the size of the arc

Answer:

Step-by-step explanation:

The equation for an arithmetic sequence is

[tex]a_n=a_1+d(n-1)[/tex]  where n is the position of the number in the sequence, a1 is the first number in the sequence, and d is the difference between the numbers in the sequence.

Our first number is 2, so a1 = 2; to get from 2 to 5 we add 3, to get from 5 to 8 we add 3. That means that d = 3. Filling in the standard form of the equation:

[tex]a_n=2+3(n-1)[/tex] which simplifies to

[tex]a_n=2+3n-3[/tex] and a bit more to

[tex]a_n=3n-1[/tex] (which should tell you that arithmetic sequences are lines!)

Finding the 13th number simply requires that we replace n with 13 and solve:

[tex]a_{13}=3(13)-1[/tex] so

[tex]a_{13}=38[/tex]

Answer:

38

Step-by-step explanation:

This isn't the most efficient way but it's the best I can do.

2, 5, 8, 11....

The pattern is that we add 3 every time.

2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38,

1 , 2, 3, 4, 5,  6,   7,    8,    9,   10,  11,   12,  13

We can see that 38 is the 13th term of the sequence.

Answer:

[tex]x = 10\\y = 5[/tex]

Step-by-step explanation:

1. Approach

The easiest method to solve this problem is to use the side ratios in a special right triangle. One should start by proving that the triangle is a (30 - 60 - 90) triangle. Since the problem gives on the information that one of the sides has a measure of ([tex]5\sqrt{3}[/tex]), one can use this combination with the ratio of the sides in a special right triangle, to find the unknown side lengths.

2. Prove this triangle is a (30 - 60 - 90) triangle

One is given a right triangle. This means the triangle has a (90) degree or right angle in it. This is indicated by a box around one of the angles. One is given that the other angle in this triangle has an angle measure of (30) degrees. The problem asks for one to find the third angle measure. A property of any triangle is that the sum of angle measures in the triangle is (180) degrees. One can use this to their advantage by stating the following:

[tex](90) + (30) + (unknown) = 180\\[/tex]

Simplify,

[tex](90) + (30) + (unknown) = 180[/tex]

[tex]120 + unknown = 180\\[/tex]

Inverse operations,

[tex]120 + unknown = 180\\[/tex]

[tex]unknown = 60[/tex]

Thus, this triangle is a (30 - 60 - 90) triangle, as its angles have the measures of (30 - 60 - 90).

3. Solve for (y)

The sides ratio in a (30 - 60 - 90) triangle is the following:

[tex]n - n\sqrt{3} - 2n[/tex]

Where (n) is the side opposite the (30) degree angle, ([tex]n\sqrt{3}[/tex]) is the side opposite the (60) degree angle and finally (2n) is the side opposite the (90) degree angle. The side (y) is opposite the (30) degree angle. This means that it is equal to the side opposite the (60) degree angle divided by ([tex]\sqrt{3}[/tex]). Therefore, one can state the following:

[tex]\frac{5\sqrt{3}}{\sqrt{3}}=y\\5=y[/tex]

4. Solve for (x)

Using the same thought process one used to solve for side (y), one can solve for side (x). The side (x) is opposite the (90) degree angle, hence, one can conclude that it is twice the length of the side with the length of (y). Therefore, one can state the following:

[tex]x = 2y\\x = 2(5)\\x = 10[/tex]

Answer:

x=19.86

Step-by-step explanation:

use cosine,

cos 19°=x/21

x=cos 19° * 21

x=19.86

Answer:

The Average annual return is:

= 10%.

Step-by-step explanation:

a) Data and Calculations:

Year        Stock Returns

Year 1                 -4%

Year 2             +28%

Year 3              +12%

Year 4              + 4%

Total returns = 40%

Average annual returns = 10% (40%/4)

b) The average annual return is computed as the total returns for the four years divided by 4.  It shows that on the average, the return earned per year from the stock investment is 10%, during the four-year period.  It is the mean of the total returns.

Answer:

31.25

Step-by-step explanation:

125/4

= 31.25

Answer:

D

Step-by-step explanation:

The graph clearly shows that x=>3

Answer:

it should be the third option

Step-by-step explanation:

I hope this help

Answer:

A.

Step-by-step explanation:

42,000 units

Answer:

B

Step-by-step explanation:

If you plug in x=1, then you get that f(1)=5, meaning that (1, 5) is a point on the graph.

Since graph B has the only line that passes through (1, 5), it must be the answer.

Image of figure ABCD is missing and so i have attached it.

Answer:

D_new = (-1, - 12)

Step-by-step explanation:

From the figure attached, the current coordinates of D are; (-5, -2)

Now, we are told the figure undergoes a translation of (x,y) (x+6,y-10)

Thus, this means we add 6 to the x value and subtract 10 from the y-value.

Thus, new coordinate of D is;

> (-5 + 6, -2 - 10)

> (-1, - 12)

Answer:

1, -12

Step-by-step explanation:

D = -5, -2

|

-5 + 6 = 1

|

-10 and -2 is -12

1, -12

did it on edge, got it right.

Answer:

This would be a regular polygon.

Step-by-step explanation:

A regular polygon has congruent sides and interior angles.

An irregular polygon does not have congruent sides and all interior angles.

A convex polygon does not have a interior angle greater than 180°.

Lastly, a concave polygon has only one interior angle greater than 180°.

Using the process of elimination, it would not be a convex or concave polygon. Now we have either a regular or irregular polygon. This polygon can not be a irregular polygon because all the sides are congruent. This means that this polygon is a regular polygon!

The given polygon is a regular convex polygon.

In geometry, a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain (or polygonal circuit). The bounded plane region, the bounding circuit, or the two together, may be called a polygon.

The segments of a polygonal circuit are called its edges or sides. The points where two edges meet are the polygon's vertices or corners. The interior of a solid polygon is sometimes called its body.

Given,

Polygon has 8 edges and 8 vertices.

1. Regular or Irregular:

A regular polygon has congruent sides and interior angles.

In the figure all sides are of equal length and the angle are same so, It is a regular polygon.

2. Convex or concave:

Convex polygon has all interior angles less than 180° while in concave polygon at least one interior angle should be greater than 180°.

In the given polygon all angles are less than 180°, so it is a convex polygon.

Hence, by the above explanation, the given polygon is regular convex polygon.

Learn more about polygons here:

https://brainly.com/question/24464711

#SPJ2

Answer:

should be 17

Step-by-step explanation:

Answer:

I think that ,The volume is 49.5 cm3

Answer:

2x^2 + 9x - 4

18x^2 - 3x - 10

Step-by-step explanation:

use foil method

Answer:

40

Step-by-step explanation:

here

3200/80

1600/40

800/20

400/10

40

Answer:

Hi!

Step-by-step explanation:

-5 (x-3) + 3(4 - x) + 2x

Let's distribute the -5 within its parentheses.

A negative multiplied by a negative number has a positive result.

Let's distribute the 3 within its parentheses.

-5x+15+12-3x+2x

Combine like terms...

-5x-3x+2x=-6x

15+12=27

-6x+27

Both numbers are divisible by 3...

3(-2x+9)

or -3...

-3(2x-9)

Answer:

[tex] {2}^{1 \div 2[/tex]

Answer:

the answer is the number 6

Answer:

36

Step-by-step explanation:

girls:boys=2:3

2units=24

1unit=24÷2=12

boys have 3 units

3units=12 x 3 =36

There are 36 boys

Answer:

130.81

Step-by-step explanation:

Given that :

Mean, μ = 100

Standard deviation, σ = 15

To obtain the upper 2% of scores :

We find the Zscore (value) of the upper 2% from the normal probability distribution table ;

Zscore corresponding to the area in the left of (1 - 0.02) = 2.054

Using this with the Zscore formula :

Zscore = (x - μ) / σ

2.054 = (x - 100) / 15

2.054 * 15 = x - 100

30.81 = x - 100

30.81 + 100 = x

x = 130.81

Answer:

Step-by-step explanation:

change in x (horizontal) = 4 - 1 = 3

Change in y (vertical)  = 9 - 3 = 6

Slope = change in x / change in y

slope = 3 / 6 = 1/2

Answer:

A.

–2; –250; –156,250

Step-by-step explanation:

A(1) = -2 x 5(1) - 1 = -11

A(4) = -2 x 5(4) -1 = -41

A(8) = -2 x 5(8) -1 = -81

...............................................................................................................................................

an=a1(r)^(n-1)

a1=first term

r=common ratio

n=which term

so

an=-2(5)^(n-1)

first term is -2

4th term is subsitue 4 for n

a4=-2(5)^(4-1)

a4=-2(5)^3

a4=-2(125)

a4=-250

4th term is -250

--------------------------

8th term

a8=-2(5)^(8-1)

a8=-2(5)^7

a8=-2(78125)

a8=-156250

8th term is -156250

...............................................................................................................................................

A(1)=2*5^1-1=2*5^0=2*1=2

a(4)=2*5^4-1=2*5^3=2*125=250  

a(8)=2*5^8-1=2*5^7=2*78,125=156,250

...............................................................................................................................................

2, 250, 156, 250

Answer:

1.774 standard deviations

Step-by-step explanation:

From the data, the minimum value is x = 13 and the maximum value is x' = 18. The mean X = 15.75 and the standard deviation, σ = 1.55.

The difference between the mean and the minimum value is the deviation from the mean. So, X - x = 15.75 - 13 = 2.75. To find the number of standard deviations this is, we divide it by the standard deviation, σ = 1.55.

So, 2.75/1.55 = 1.774.

So, the number of standard deviations to contain the value 13 is 1.774σ

Also, the difference between the maximum value and the mean is the deviation from the mean. So, x' - X = 18 - 15.75 = 2.25. To find the number of standard deviations this is, we divide it by the standard deviation, σ = 1.55.

So, 2.25/1.55 = 1.452.

So, the number of standard deviations to contain the value 18 is 1.452σ

Since 1.774σ > 1.452σ and 1.774σ would contain both the values of 13 and 18, the number of standard deviations from the mean required to contain the values is  1.774 standard deviations.

Answer:

-4m/s²

Step-by-step explanation:

Given Equation of velocity :-

Differenciation of first order will give acclⁿ :-

At t = 0 ,