One leg of a 45°-45°-90° triangle is 3.
Find the length of the hypotenuse.

Answer:

4 ·2i

Step-by-step explanation:

√2 + √-18

√2 + √9·-2

√2 + 3√-2  

(3 +1 )(√2 ·√-2) = 2i

4 · 2i

Answer:

y = - 2x - 7

Step-by-step explanation:

Step 1:

y = mx + b      Slope Intercept Form

Step 2:

y = - 2x + b      Input Slope

Step 3:

- 3 = - 2 ( - 2 ) + b    Input x and y

Step 4:

- 3 = 4 + b       Multiply

Step 5:

- 7 = b      Subtract 4 on both sides

Answer:

y = - 2x - 7

Hope This Helps :)

m = -2

y = mx +c

-3= -2(-2) +c

-3 =4 + c , c = -7

Thus, equation is y = -2x-7

Answer:0.3

it is very easy wants you connect with math

Answer:

a) 8/10

b) [tex]0.001 \overline{33}[/tex]

c) Independent events

Step-by-step explanation:

The given information are;

The proportion of women than carries a mutation of the BRCA gene, P(A) = 1/600

The proportion of women in which the mutation develops breast cancer, P(B) = 8/10

a) The probability that a randomly selected woman will develop breast cancer given that she has a mutation of the BRCA gene is given as follows;

1 × P(B) = 1 × 8/10 = 8/10

b) The probability, P that a randomly selected woman woman will carry the mutation of the BRCA gene and will develop breast cancer is given as follows;

P(A) × P(B) = 1/600×8/10 = 1/750 = [tex]0.001 \overline{33}[/tex]

c) The events are dependent

Given that P(A) × P(B) = P(A∩B), the events of carrying the mutation and developing Breast cancer are independent events.

Answer:

[tex]\boxed { x = -\frac{5}{2}}[/tex]

Step-by-step explanation:

To determine the value of [tex]x[/tex], write expression by using the following measurement from both [tex]\angle 1[/tex] and [tex]\angle 2[/tex] and solve:

[tex]\angle 1 = 20 + 5x[/tex]

[tex]\angle 2 = x + 10[/tex]

[tex]20 + 5x = x + 10[/tex]

Solve for [tex]x[/tex]:

[tex]20 + 5x = x + 10[/tex]

[tex]20 + 5x - x = x - x + 10[/tex]

[tex]20 + 4x = 10[/tex]

[tex]20 - 20 + 4x = 10 - 20[/tex]

[tex]4x = -10[/tex]

[tex]\frac{4x}{4} = \frac{-10}{4}[/tex]

[tex]\boxed { x = -\frac{5}{2}}[/tex]

So, the value of [tex]x[/tex] is [tex]-\frac{5}{2}[/tex].

4 White Cats

( 13 - 7 ) - 2

    6 - 2

      4

Answer:

ok more info please and I can help

Answer:

482.5 hope this helps can i have brainly?:)

Step-by-step explanation:

Answer:

50 yards.

Step-by-step explanation:

Since we know that 5 yards can make 2 costumes, we can divide 5/2 to find 2.5 yards are needed to make one costume. Then you can multiply 2.5*20 to get 50 yards needed for 20 costumes. Hope this helps :)

Step-by-step explanation:

Hope it helps man .....

Answer:

J-¹(x)= x+6/5

or

J-¹(x)= x/5 + 6/5

Step-by-step explanation:

J(x)= 5x -6

•first separate your Y from the original equation like this

y= 5x-6

•second replace for x since we are talking about the inverse form

x= 5y-6

•third solve for y

x+6=5y-6+6

add 6 to both sides

x+6=5y

divide 5 to both sides

x+6/5=5y/5 (in your right side 5 cancels out)

it should look like this

x+6/5=y (you solved for y)

and now you write your answer like this

J-¹(x)= x+6/5

or

J-¹(x)= x/5 + 6/5

Answer:

-10

Step-by-step explanation:

∛-1000=-10

Answer:

-10

Step-by-step explanation:

First...

A cube root is to find a number that if multiplied three times by its self equals this number. (sorry a little confusing)

Next...

Forget about the negative for a little bit and look at it.

10*10*10=1000

Finally...

If 10 cubed is positive 1000 then -10 cubed is -1000.

So the answer is -10.

Answer:

C

Step-by-step explanation:

Its adds 5 each time

The next three terms of Sequence is 2, 7, 12.

A grouping of numbers in a specific order is known as a sequence. On the other hand, a series is described as the accumulation of a sequence's constituent parts.

Each number in the sequence is called a term. In the sequence 1, 3, 5, 7, 9, …, 1 is the first term, 3 is the second term, 5 is the third term, and so on.

Given:

-18, -13, -8, -3,…

Now, the common difference = -13 - (-18)= -13 + 18 = 5

So, the formula for nth term will be

[tex]a_n[/tex] = -18 + 5(n-1)

Then,  n= 5th term

[tex]a_n[/tex] = -18 + 5(5-1)

[tex]a_n[/tex] = -18 + 5(4)

[tex]a_n[/tex] = -18 + 20

[tex]a_n[/tex] = 2

and, n= 6th term

[tex]a_n[/tex] = -18 + 5(6-1)

[tex]a_n[/tex] = -18 + 5(5)

[tex]a_n[/tex] = -18 + 25

[tex]a_n[/tex] = 7

and, n= 7th term

[tex]a_n[/tex] = -18 + 5(7-1)

[tex]a_n[/tex] = -18 + 5(6)

[tex]a_n[/tex] = -18 + 30

[tex]a_n[/tex] = 12

Hence, the next three terms are 2, 7, 12.

Learn more about Sequence here:

https://brainly.com/question/30262438

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The value of y for the equation y = |x| + 1 is 10.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

y = |x| + 1          (1)

To find the value of y when x is - 9.

Substitute the value of x in equation (1),

y = |-9| + 1

The mode value of is always positive,

y = 9 + 1

y = 10

The required value of y is 10.

To know more about Equation on:

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Answer:

the third one; lower left

Step-by-step explanation:

To see if a table of values represents a linear function, check to see if there's a constant rate of change. If there is, you're looking at a linear function!

Lower left: x increases by 2 and y by 2

Answer:

3 i think

Step-by-step explanation:

Answer:

8x-2=-9+7x equals X=-7

Answer:

x = -7

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

they gave you the value to x so all you have to do is plug it in

h(-2) = -2 (-2) - 5

h(-2) = 4 - 5

h(-2) = -1

Substituting the value, x = - 2 into the function, the value of the function h(-2) is - 1

Given the function :

At h(-2) :

h(-2) = - 2(-2) - 5

h(-2) = 4 - 5

h(-2) = - 1

Therefore, the value of h(-2) is - 1

Learn more : https://brainly.com/question/18106342

The red one is [tex]x +2y = 6[/tex] and the blue one is [tex]2x -y = 4[/tex]

The black points are the y-intercepts and and purple ones are the x-intercepts.

9514 1404 393

Answer:

Step-by-step explanation:

1. The parentheses are eliminated. The distributive property lets you do that.

2. 2x is subtracted from both sides. The subtraction property of equality lets you do that.

3. 28 is added to both sides. The addition property of equality lets you do that.

4. Both sides are divided by 2. The division property of equality lets you do that.

Answer:

0.00005 is in standard form.

Step-by-step explanation:

Answer:

37.5 miles per hour

Step-by-step explanation:

d= rt; d is distance (225 miles), r is rate, and t is time (6 hours)

225= 6r

225/6 = 6r/6

37.5= r

37.5 miles per hour

Hope this helps!

Answer:

(4/9)/x = 12

(4/9) = 12x

Divide both sides by 12

27 is right

Answer:

its just 27

Step-by-step explanation:

whoever answered before was wrong

Answer:

x = 1

Step-by-step explanation:

Step 1: Define

h(x) = 3x + 1

h(x) = 4

Step 2: Substitute and Evaluate

4 = 3x + 1

3 = 3x

x = 1

Answer:

Option A is correct

Step-by-step explanation:

Speed of truck = 55 miles/hour

Time taken = 3.25 hours

Distance = Speed × Time

[tex]=55[/tex] × 3.25

[tex]=178.75[/tex]

But truck driver has to make a delivery at  a location that is 230.2 miles away.

Distance left to be covered by a truck driver = [tex]230.2-178.75=51.45[/tex] miles

So,

Yes, if the truck driver  continues at the same speed, she will make it to the location in the next  hour such that she only has 51.45 miles to go.

Option A is correct

We want to see if the truck driver has enough speed to reach the destination or not. The correct option is A "Yes, she only has 51.45 miles to go."

So we know that she needs to travel a total distance of 230.2 miles.

Now, remember the relation:

Speed*time = distance.

And she travels at an average speed of 55 miles per hour for 3.25 hours, so she traveled a distance of:

(55 mi/h)*3.25 h = 178.75 mi

Then the remaining distance is just:

230.2 mi - 178.75 mi = 51.45 mi

Will she make it in the next hour?

Well, yes, she travels at 55 miles per hour and she has 51.45 miles remaining, so yes, she will make it.

The correct option is A: "Yes, she only has 51.45 miles to go."

If you want to learn more about speed, you can read:

https://brainly.com/question/4931057

Answer:

12

Step-by-step explanation:

divide 48 by 4 and the answer should be 12, that is the cost per ticket.

Answer:

Each ticket cost $12

Step-by-step explanation:

So we can say:

4x = $48

we can divide each side by 4 and get:

x = $12

Hope that helps!!