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OleMash [197]
3 years ago
9

Simplify (X-4+2i)(x+5-3i)

Mathematics
1 answer:
iogann1982 [59]3 years ago
6 0
Use distributive property
x^2+x-14+(-x+22)i
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A rectangular field is 36
blagie [28]

Answer:

12meters

Step-by-step explanation:

Given data

Lenght = 36 meters

Width = 15 meters

The dimension of the diagonal can be gotten via Pythagoras theorem

D^2= L^2+W^2

Substitute

D^2= 36^2+ 15^2

D^2=  1296+225

D^2= 1521

D= √1521

D= 39  meters

Hence the distance while walking on the side is

=36+15

=51 meters

Hence the difference is

=51-39

=12meters

6 0
3 years ago
Let f(x) = (x^2+3x-5)/(x^2-8x+15) What is the domain of f(x) ?
Lyrx [107]

Answer:

So, Domain = {set of all the real numbers except 3, 5}

Interval notation = {x ∈ set of all real numbers/ x ≠3 and x ≠ 5}

Step-by-step explanation:

The given function is f(x) = \frac{x^2 + 3x - 5}{x^2 - 8x + 15}

Here we need to find the domain.

To find the domain, let's find the restricted domain.

If we set the denominator equal to zero and solve for x, we can find the restricted domain.

Here the denominator is x^2 -8x + 15 = 0

Now we can factorize and solve for x.

(x - 3)(x - 5) = 0

(x - 3) or (x - 5) = 0

x -3 = 0  and x - 5 = 0

Solving the above equations, we get

x = 3 and x = 5

The restricted domains are x = 3 and x = 5.

Now we can find the domain.

Except 3 and 5, all the real numbers can be domain of this function.

So, Domain = {set of all the real numbers except 3, 5}

= {x ∈ set of all real numbers/ x ≠3 and x ≠ 5}.

8 0
3 years ago
*<br> #17) Michelle has 8 pints of milk. How many quarts of milk does she have?
pshichka [43]

Answer:

4 quarts

Step-by-step explanation:

1 quart = 2 pints

2 quart = 4 pints

3 quart = 6 pints

4 quarts = 8 pints,

therefore Michelle has 4 quarts of milk

hope i helped you!

6 0
3 years ago
What rule will represent the function, (0,0), (1,1), (2,4), (3,9), (4,16)
VARVARA [1.3K]

Answer:

a(n) = (n-1)^2

Step-by-step explanation:

Notice that each of the y-values {0, 1, 4, 9, 16, ... } is a perfect square.  Thus,

the rule is a(n) = (n-1)^2.

Check:  if n = 0, is (n-1)^2 = 0?  yes

             if n = 3, is (3-1)^2 = 4?  yes

5 0
3 years ago
Read 2 more answers
Darla spent $120.37 on groceries in January, $108.45 in February, and $114.86 in March. What was the average monthly cost of Dar
MaRussiya [10]
The average of her grocery shopping is $114.56. How you get the average is you add all of the numbers together and divide by how many numbers there are. And in this case, there were 3 numbers. Hope this helps! :)
3 0
3 years ago
Read 2 more answers
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