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RUDIKE [14]
3 years ago
9

What is the following product? (StartRoot 14 EndRoot minus StartRoot 3 EndRoot) (StartRoot 12 EndRoot + StartRoot 7 EndRoot) 2 S

tartRoot 42 EndRoot + 7 StartRoot 2 EndRoot minus 6 minus StartRoot 21 EndRoot StartRoot 14 EndRoot minus 6 + StartRoot 7 EndRoot StartRoot 26 Endroot + StartRoot 21 EndRoot minus StartRoot 15 EndRoot minus StartRoot 10 EndRoot 2 StartRoot 42 EndRoot minus StartRoot 21 EndRoot
Mathematics
2 answers:
WINSTONCH [101]3 years ago
8 0

Answer:

B

Step-by-step explanation:

Arisa [49]3 years ago
4 0

Question:

What is the following product?

(√14 - √3) (√12 + √7)

Answer:

2√42 + 7√2 - 6 - √21

Step-by-step explanation:

Given.

(√14 - √3) (√12 + √7)

Required

Product

(√14 - √3) (√12 + √7)

We start by opening the brackets

√14(√12 + √7) -√3(√12 + √7)

√(14*12) + √(14*7) - √(3*12) - √(3*7)

Expand individual brackets

√(2*7*2*6) + √(2*7*7) - √(3*3*4) - √(3*7)

= √(2*2*7*6) + √(2*7*7) - √(3*3*4) - √(3*7)

= √(4*42) + √(2*49) - √(9*4) - √(3*7)

Split Roots as follows

= √4 * √42 + √2 * √49 - √9 * √4 - √21

Take square root of perfect squares

= 2 * √42 + √2 * 7 - 3 * 2 - √21

= 2√42 + 7√2 - 6 - √21

Hence, the result of the product (√14 - √3) (√12 + √7) is 2√42 + 7√2 - 6 - √21

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How can you use properties of multiplication to determine what the factors are
aleksandrvk [35]
Factors can be multiplied together to get the original number.

For example here are the factors of 66.

1 and 66. 2 and 33. 3 and 22. 6 and 11.

1 multiplied by 66 results in the original number 66.

2 multiplied by 33 results in the original number 66.

3 multiplied by 22 results in the original number 66.

<span>6 multiplied by 11 results in the original number 66.</span>
6 0
3 years ago
How many integers are there that consist of four digits (from 1000 to 9999) where the first digit is a 5 or an 8 and the third d
Ostrovityanka [42]

Answer:

1600 integers

Step-by-step explanation:

Since we have a four digit number, there are four digit placements.

For the first digit, since there can either be a 5 or an 8, we have the arrangement as ²P₁ = 2 ways.

For the second digit, we have ten numbers to choose from, so we have ¹⁰P₁ = 10.

For the third digit, since it neither be a 5 or an 8, we have two less digit from the total of ten digits which is 10 - 2 = 8. So, the number of ways of arranging that is ⁸P₁ = 8.

For the last digit, we have ten numbers to choose from, so we have ¹⁰P₁ = 10.

So, the number of integers that can be formed are 2 × 10 × 8 × 10 = 20 × 80 = 1600 integers

5 0
3 years ago
Whoever gets this right gets brainlyess answer and it's worth 10 points :)
Lunna [17]
60% = 0.6
12 / 0.6 = 20

answer 12 is 60% of 20

8 0
3 years ago
What part of an hour passes between 11:24 am and 415 am
Bas_tet [7]

Using proportions, it is found that 1685% of an hour passes between 11:24 am and 415 am.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

One hour is composed by 60 minutes. Between 11:24 am and 4:15 am, there are 16 hours and 51 minutes, hence the number of minutes is given by:

M = 16 x 60 + 51 = 1011 minutes.

As a percentage of one hour = 60 minutes, we have that this measure is:

1011/60 x 100% = 1685%.

Hence 1685% of an hour passes between 11:24 am and 415 am.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

4 0
2 years ago
Very confused &amp; don't understand, if anyone can explain I appreciate it!
Usimov [2.4K]
<span>oh i get it well to make two equations equal you have to find something that fits in x. you see the eqal sign? that is seperating the two equations that you have to make equal </span>
8 0
3 years ago
Read 2 more answers
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