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zhuklara [117]
3 years ago
12

Express the square root of -80 in its simplest terms.

Mathematics
1 answer:
spin [16.1K]3 years ago
4 0

Answer:

C

Step-by-step explanation:

noting that \sqrt{-1} = i

Given

\sqrt{-80}

= \sqrt{16(-1)(5)}

= \sqrt{16} × \sqrt{-1} × \sqrt{5}

= 4i\sqrt{5} → C

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765ab4 is divisible by 36. Compute all ordered pairs (a, b) for which this is possible
tia_tia [17]

Answer:

All the ordered pairs (a,b) are

(0,5), (2,3), (4,1), (6,8), and (8,6).

Step-by-step explanation:

765ab4 to be divisible by 36, it must be divisible by both 9 and 4.

For any number to be divisible by 4, the last two digits of the number must be divisible by 4.

Here, the last two digits are b4, so as the number b4 is divisible by 4, b can be 0,2,4,6, and 8.

For any number to be divisible by 9, the sum of all the digit of the number must be divisible by 9.

Here, the sum of all the digits, S= 7+6+5+a+b+4=22+a+b.

Now, we have b={0,2,4,6, 8}

For b=0,

S=22+a+0=22+a which is a multiple of 9.

So, the possible value of the digit a :

a=5

So, (a,b)=(0,5)

For b=2,

S=22+a+2=24+a which is a multiple of 9.

So, the possible value of the digit a :

a=3

So, (a,b)=(2,3)

For b=4,

S=22+a+4=26+a which is a multiple of 9.

So, the possible value of the digit a :

a=1

So, (a,b)=(4,1)

For b=6,

S=22+a+6=28+a which is a multiple of 9.

So, the possible value of the digit a :

a=8

So, (a,b)=(6,8)

For b=8,

S=22+a+8=30+a which is a multiple of 9.

So, the possible value of the digit a :

a=6

So, (a,b)=(8,6)

Hence, all the ordered pairs (a,b) are

(0,5), (2,3), (4,1), (6,8), and (8,6).

3 0
3 years ago
If f(x)=4x-7 and g(x)=2x+4 evalvate f(x)+g(x) for x=-3
galben [10]

Answer:

-21

Step-by-step explanation:

We are told to find f(x) + g(x) for x= -3. Therefore, we must evaluate f(-3) and g(-3), then add them together.

First, evaluate f(-3).

f(x)=4x-7

To find f(-3), we need to substitute -3 in for x.

f(-3)= 4(-3)-7

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction First, multiply 4 and -3.

f(-3)= -12-7

Next, subtract 7 from -12

f(-3)= -19

Next, find g(-3).

g(x)=2x+4

To find g(-3), substitute -3 in for x.

g(-3)= 2(-3)+4

Solve according to PEMDAS. First, multiply 2 and -3.

g(-3)= -6+4

Next, add -6 and 4

g(-3)= -2

Now, we can add f(-3) and g(-3) together.

f(-3) + g(-3)

f(-3)= -19

g(-3)= -2

-19 + -2

Add

-21

7 0
3 years ago
Read 2 more answers
A number has the same digit in its hundreds place and its hundredths place.
Yuki888 [10]

Answer:

One is 2 0's before the decimal point (100) and the other is 2 decimal places AFTER the decimal point (0.01)

Essentially, the question is asking us how many times do we multiply 0.01 to get 100? This will be how many times greater 100 is compared to 0.01

Lets move the decimal point  4 times to the right:

0.01

00.1

1.0

10.0

100.0

Step-by-step explanation:

7 0
3 years ago
The staff at the Arcola Country Club prepares tables for a wedding reception. They are able to prepare 6 tables in 45 minutes. H
TiliK225 [7]
24

Multiply 6 and 4 to get 24 

They will be able to prepare 24 tables
5 0
2 years ago
Please help I will mark brainliest I'm really in need now<br> (Please explain)
Ksivusya [100]

Answer:

i think the second question (the choose the Function) means choose the function that has changed the most.

the first choose function one, i dont know but... according to wikipedia, "an initial value problem is an ordinary differential equation together with an initial condition which specifies the value of the unknown function at a given point in the domain. Modeling a system in physics or other sciences frequently amounts to solving an initial value problem." hope this helps

Step-by-step explanation:

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2 years ago
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