Operations with complex numbers I+6i

Y = x – 6 x = –4 what is the solution to the system of equations? (–8, –4) (–4, –8) (–4, 4) (4, –4

fredd [130]

Answer:

(- 4, - 10 )

Step-by-step explanation:

Given the 2 equations

y = x - 6 → (1)

x = - 4 → (2)

Substitute x = - 4 into (1) for corresponding value of y

y = - 4 - 6 = - 10

Solution is (- 4, - 10 )

4 0

3 years ago

Helpppppp pllzzzzzzzzz

fgiga [73]

Answer:

The length of side of largest square is 15 inches

Step-by-step explanation:

The given suares are when joined in the way as shown in picture their sides form a right agnled triangle.

Area of square 1 and perimeter of square 2 will be used to calculate the sides of the triangle.

So,

Area of square 1: 81 square inches

$s^2 = A\\s^2 = 81\\\sqrt{s^2} = \sqrt{81}\\s = 9$

Perimeter of square 2: 48 inches

$4*side = P\\4* side = 48\\side = \frac{48}{4}\\side = 12\ inches$

We can see that a right angled triangle is formed.

Here

Base = 12 inches

Perpendicular = 9 inches

And the side of largest square will be hypotenuse.

Pythagoras theorem can be used to find the length.

$(H)^2 = (P)^2+(B)^2\\H^2 = (9)^2+(12)^2\\H^2 = 81+144\\H^2 = 225\\\sqrt{H^2} = \sqrt{225}\\H = 15$

Hence,

The length of side of largest square is 15 inches

5 0

2 years ago

A line that includes the points (

barxatty [35]

Answer:

-7

Step-by-step explanation:

Refer to the photo.

the slope=(0-g)/(5-4)

i.e. 7=(-g)/1

g=-7

3 0

3 years ago

Which point on the number line represents the number that can be added to-3

vova2212 [387]

Answer: 3

Step-by-step explanation: This is because the 2 numbers are opposites, which cancel each other out, going back to zero.

8 0

3 years ago

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Find the indicated conditional probability

andrezito [222]

Given:

The two way table.

To find:

The conditional probability of P(Drive to school | Senior).

Solution:

The conditional probability is defined as:

$P(A|B)=\dfrac{P(A\cap B)}{P(B)}$

Using this formula, we get

$P(\text{Drive to school }|\text{ Senior})=\dfrac{P(\text{Drive to school and senior})}{P(\text{Senior})}$ ...(i)

From the given two way table, we get

Drive to school and senior = 25

Senior = 25+5+5

= 35

Total = 2+25+3+13+20+2+25+5+5

= 100

Now,

$P(\text{Drive to school and senior})=\dfrac{25}{100}$

$P(\text{Senior})=\dfrac{35}{100}$

Substituting these values in (i), we get

$P(\text{Drive to school }|\text{ Senior})=\dfrac{\dfrac{25}{100}}{\dfrac{35}{100}}$

$P(\text{Drive to school }|\text{ Senior})=\dfrac{25}{35}$

$P(\text{Drive to school }|\text{ Senior})=0.7142857$

$P(\text{Drive to school }|\text{ Senior})\approx 0.71$

Therefore, the required conditional probability is 0.71.

5 0

3 years ago

Read 2 more answers