3±i write the quadratic equation with the given roots

Answers

Answer 1

Answer: By null factor Law factorised eqn=
(x-3+i)(x-3-i)
x^2-6x+10

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How many ways are there to distribute three different teddy bears and nine identical lollipops to four children (a) Without restriction? (b) With no child getting two or more teddy bears? (c) With each child getting three ""goodies""?

Answers

Answer:a) 14080, b) 5280, c) 64.

Step-by-step explanation:

Since we have given that

Number of teddy bears = 3

Number of identical lollipops = 9

Total number of things = 3+9 =12

Number of children = 4

(a) Without restriction?

Number of ways would be

$4^3* ^(12)C_3\n\n=14080$

(b) With no child getting two or more teddy bears?

$4* 3!* ^(12)C_9\n\n=5280$

(c) With each child getting three ""goodies""?

$4^3=64$

Hence, a) 14080, b) 5280, c) 64.

One inch is equivalent to 2.54 centimeters. How many inches are in 50.8 centimeters

Answers

The number of inches in 50.8 centimeters is 20 inches.

Given that, one inch is equivalent to 2.54 centimeters.

What is metric conversion?

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured. The different unit of measurement resulted in the introduction of the "Metric System".

Number of inches in 50.8 centimeters = 50.8/2.54

=20 inches

Therefore, the number of inches in 50.8 centimeters is 20 inches.

To learn more about the metric conversion visit:

brainly.com/question/21244256.

#SPJ2

the answer is 20 ^-^.... i think

If gas costs $2.49 per gallon, how many whole gallons of gas could you buy with $15.00?(Make sure to answer with a whole number.

Answers

15/2.49 = 6.02 round down to a whole number is 6

Answer: 6.02

Step-by-step explanation:

If we know 1 gallon = 2.49

We would have to do 15.00 divided by 2.49 in order to figure out how many gallons we need. When we do that we would get 6.024 but you can round by the nearest tenth because you need to have a whole number and you would get 6 ·ω·

(2+7i)(2-7i)= ==========

Answers

$(2+7i)(2-7i)=2^2-(7i)^2=4-49\vfot(-1)=4+49=53\n\n-------------------------------\ni=√(-1)\n\ni^2=-1$

$(2+7i)(2-7i)=4-14i+14i-49i^2\n \n 4+49=53$

The length of a rectangle is 5 5 centimeters less than six times six times its width. Its area is 14 14 square centimeters. Find the dimensions of the rectangle.