Basketball Points

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 one identical coordinate out of (x,y) that is the same from each 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

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

Part A: 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

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

Part B:

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:

$15x-y+325=0$

Part C:

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

$g(x) =15x+325$

Part D:

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 6 rooms.

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

$\frac{d}{dx}$ ( a $x^{n}$ ) = na $x^{n-1}$

Given

f(x) = - 12x² + 9x, then

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

3 0

4 years ago