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2 years ago

Determine the slope of the line

Mathematics

1 answer:

prisoha [69]2 years ago

7 0

Answer:

Step-by-step explanation:

We can find the slope of the line by using the slope formula

m = ( y2-y1)/(x2-x1) where ( x1,y1) and (x2,y1) are points on the line

Using the points (0,-4) and (2,0)

m = ( 0 - -4)/ ( 2 - 0)

= ( 0+4)/( 2-0)

= 4/2

= 2

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Complete the square to rewrite the following equation. Identify the center and radius of the circle. You must show all work and

Sliva [168]

Answer:

( x+1)^2 + (y+2)^2 = 25

The center is (-1, -2) and the radius is 5

Step-by-step explanation:

x^2 + 2x + y^2 + 4y = 20

Complete the square

2/2 =1 1^2 =1 so add 1 for x 4/2 =2 2^2 = 4 so add 4 for y

x^2 +2x +1 +y^2 +4y+4 = 20 +1 +4

( x+1)^2 + (y+2)^2 = 25

(x+1) ^2 + (y+2)^2 = 5^2

(x - -1) ^2 + (y - -2)^2 = 5^2

This is in (x-h)^2 + (y-k)^2 = r^2 form where (h,k) is the center and r is the radius

The center is (-1, -2) and the radius is 5

4 0

3 years ago

Thanks guys for the help. This one and one more and I’m done!

Karolina [17]

Answer: $60n^{3}$

Step-by-step explanation:

To find the least common multiply, you must descompose 12 and 15 into their prime factors, as you can see below:

12=2*2*3=2²*3

15=3*5

Choose the common and non common numbers with their greastest exponents:

3*5*2²=60

Now you must choose the common and non common variables with their greastest exponents:

n³

Therefore, you can conclude that the least common multiply is:

$60n^{3}$

8 0

4 years ago

Read 2 more answers

This maybe primary but i don't get it

Over [174]

P=r x 2 x pi
= 3 x 2 x 3.14
= 6 x 3.14 = 18.84

8 0

4 years ago

Read 2 more answers

Will give brainliest!

ira [324]

Answer:

- 1/4

Step-by-step explanation:

Where you see X, substitute with 1/3

Solve the power/exponent first:

6(1/3) = 2

That is ; - 4(1/4)^2

Solve the parenthesis:

(1/4)^2 = 1/16

-4(1/16)

= - 1/4

8 0

3 years ago

Assume that we have two events, and , that are mutually exclusive. Assume further that we know and . If an amount is zero, enter

sweet [91]

Answer:

Explained below.

Step-by-step explanation:

The complete question is:

Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.30 and P(B) =0.40.

What is P(A and B)?

What is P(A | B)?

Is P(A | B) equal to P(A)?

Are events A and B dependent or independent?

A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Is this statement accurate?

What general conclusion would you make about mutually exclusive and independent events given the results of this problem?

Solution:

The probability of the two events <em>A</em> and <em>B</em> are:

P(A) = 0.30 and P(B) =0.40

(a)

Compute the value of P (A ∩ B) as follows:

$P(A\cap B)=0$

This is because mutually exclusive events are those events that cannot occur together.

(b)

Compute the value of P (A | B) as follows:

$P(A|B)=\frac{P(A\cap B)}{P(B)}=\frac{0}{0.40}=0$

Thus, the value of P (A | B) is 0.

(c)

No, P (A | B) is not equal to the P (A).

(d)

As mentioned in part (a), mutually exclusive events are those events which cannot occur together.

That is, $P(A\cap B)=0$ .

Events A and B are independent if the chance of their concurrent happening is equivalent to the multiplication of their distinct probabilities.

That is, $P(A\cap B)=P(A)\times P(B)$ .

The concepts of mutually exclusive events and independent events are not the same.

(e)

As the it is provided that A and B are mutually exclusive events, we know that $P(A\cap B)=0$ .

Now compute the value of $P(A)\times P(B)$ as follows:

$P(A)\times P(B)=0.30\times 0.40=0.12\neq 0$

Thus, the events A and B are not independent.

Thus, if two events are mutually exclusive events they cannot be independent.

4 0

4 years ago