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KIM [24]
3 years ago
8

Basketball Points

Mathematics
1 answer:
Molodets [167]3 years ago
4 0
A is the correct answer
You might be interested in
ABC is a right-angled triangle.
CaHeK987 [17]

Answer:

A= 10 units squared

Step-by-step explanation:

Because we are fully given points A and B, as well as the knowledge that ABC is a right triangle, we can assume that point C is the last needed point to form the right angle of this triangle. Meaning, point c has to have <em>one</em> identical coordinate out of (x,y) that is the same from <em>each</em> of our pre-existing coordinates in order to successfully form a right angle.

Due to the fact that we are told that Point C lies on y=2, we know that it already has an identical 'y' coordinate as Point A.

We can now decode that the x coordinate of Point C must be identical to the x coordinate of Point B, In this case, -2

We can conclude that point C lies on (-2,2)

If we look at the length of the sides of the triangle, ignoring the hypotenuse, we can see that one is 4 units long and the other is 5 units long.

To find the area of a square the formula is A= l x w x 0.5

Since 4x 5 = 20 and half of 20 is ten, we know that the final answer will be 10 units^2

to help you visualize this problem I've added an attachment :)

3 0
3 years ago
TUZ.U410)
ICE Princess25 [194]

Answer:

Part A: 15

Part B:

Point slope form: y-400=15(x-5)

Slope intercept form: y =15x+325

Standard Form: 15x-y+325=0

Part C: g(x) =15x+325

Part D: 505

Step-by-step explanation:

We are given the following

x       g(x)

5      $400

10    $475

We can see that these are two points on the line.

i.e. (5, 400) and (10, 475)

OR

x_1 = 5\\x_2 = 10\\y_1 = 400\\y_2 = 475

<u>Part A: </u>Slope of the function:

m=\dfrac{y_2-y_1}{x_2-x_1} \\\Rightarrow m = \dfrac{475-400}{10-5}\\\Rightarrow m = \dfrac{75}{5} = 15

So, slope of the line = 15

<em>It has a positive slope and the function will be increasing with the increasing value of 'x'.</em>

<em></em>

<u>Part B:</u>

Point slope form of a line is given as:

y-y_1=m(x-x_1)

Putting (x_1, y_1)\ as\ (5, 400):

y-400=15(x-5)

Slope intercept form:

y=mx+c where c is the intercept.

y =15x+c

Putting (x,y) as (5, 400) to find c:

400=15\times5+c\\\Rightarrow c = 325

So, the equation in slope intercept form:

y =15x+325

Standard form of line:

Ax+By+C=0

Rewriting the slope intercept form:

15x-y+325=0

<u>Part C:</u>

Using the function notation, putting y = g(x) in slope intercept form:

g(x) =15x+325

<u>Part D:</u>

Balance after 12 days = ?

i.e. g(x) = ? at x = 12

Putting x = 12 in g(x) =15x+325

g(12) =15\times 12+325\\\Rightarrow g(12)=505

7 0
3 years ago
3and 4 11 minus 2and one half
Olegator [25]

Answer: 19/22


Step-by-step explanation:

= 3 + 4/11 - 2 -1/2

Then, 3-2= 1

Next, 4/11 -1/2= ?

LCD of 4/11 and 1/2 and you would get this 8/22 - 11/22= 3/22

Finally, 1 - 3/22 = 19/22

*Hope this helps!

6 0
3 years ago
Maya decided to paint some of the rooms in her hotel. She found out that a room required 3/2 cans of paint. If Maya buys 9 cans
Dmitry [639]

Answer:

She can paint <u>6 rooms</u>.

Step-by-step explanation:

Given:

Maya decided to paint some of the rooms in her hotel. She found out that a room required 3/2 cans of paint.

If Maya buys 9 cans of paint.

Now, to find the rooms she can paint.

So, we use unitary method to get the number of rooms:

If,  \frac{3}{2} cans of paint is needed to paint 1 room.

Then, 1 can of paint is needed to paint = \frac{1}{\frac{3}{2}} =\frac{2}{3} room.

Thus, 9 cans of paint is needed to paint = \frac{2}{3} \times 9

=\frac{18}{3} \\\\=6\ rooms.

Therefore, she can paint 6 rooms.

5 0
3 years ago
Find the derivative of f(x)= -12x^2+9x
dexar [7]

Answer:

- 24x + 9

Step-by-step explanation:

Differentiate each term using the power rule

\frac{d}{dx} ( ax^{n} ) = nax^{n-1}

Given

f(x) = - 12x² + 9x, then

f'(x) = (2 × - 12)x + (9 × 1) x^{0}= - 24x + 9

3 0
4 years ago
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