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dem82 [27]
3 years ago
8

Why is subtracting an expression similar to distributing a –1? Use the drop-down menus to explain your answer.

Mathematics
1 answer:
anygoal [31]3 years ago
8 0

Answer:

When subtracting expressions, we are applying the distributive property, where a multiple of an expression in brackets is applied to to each term.

e.g.

a(x + y) = ax + ay

In the case of subtracting an expression, we're doing the same thing, but in the example above, "a" would be equal to -1.

(a + b) - (c + d) ≡ (a + b) + -1(c + d)

And so the negative one is distributed across the terms within the brackets.

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Trigonometry<br> Special Right Triangles <br> Find the exact value of tan 0* + cos 90* - sin 0*.
Margarita [4]

Answer:

0

Step-by-step explanation:

tan(0) = 0

cos(90) = 0

sin(0) = 0

0 + 0 - 0 = 0

6 0
3 years ago
Colin invest in £5000 into his bank account. He receives 10% per year simple interest. How much will Colin have after 3 years?
pav-90 [236]

Answer:

£6655

Step-by-step explanation:

Given data

Principal=  £5000

Rate= 10%

Time = 3 years

FInal Amount A=???

The expression for the compound interest is given as

A=P(1+r)^t

substitute

A=5000(1+0.1)^3

A=5000(1.1)^3

A=5000*1.331

A= £6655

Hence the final Amount is  £6655

5 0
3 years ago
How can I find the value of X?​
BARSIC [14]

Answer:

D

Step-by-step explanation:

Remark

The first thing you must do is notice that <D = <BEA. Mark it that way on your diagram.

The Second thing you need to notice is that <BEA and <A are equal because <A and <D are marked as equal.

So both the large triangle and the small one are isosceles. because 2 of the 3 angles are equal.

Now are you ready for this? That means that BA = 10 because BA is opposite one of the 2 equal angles in the small triangle. So now you are ready to set up a proportion.

Proportion

AB / AC = AE/AD

Givens

AB = 10

AC = 18

AE = 8

AD = x + 8

Solution

Substitute the Givens into the Proportion.

10/18 = 8/(x + 8)                      Cross multiply

10(x + 8) = 8 * 18                     Simplify both sides

10x + 80 = 144                        Subtract 80 from both sides

10x + 80 - 80 = 144 - 80

10x = 64                                   Divide by 10

10x/10 = 64/10

Answer: x = 6.4

5 0
2 years ago
1 3/8 divided by 2 1/2
NikAS [45]
The answer is 2 1/5 because 1 3/8 is =11/8 TIMES 2/5 IS 2 1/5
hope it helped.
6 0
3 years ago
The means and mean absolute deviations of the individual times of members on two 4 times 400 meter relay track teams are shown i
Yakvenalex [24]

The correct answer is option C which is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B will be 0.25.

<h3>What is mean?</h3>

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

The difference between the mean times is about 16 times the mean absolute deviation of the data set.

59.32 - 59.1 = 0.22

2.4 - 1.5 = 0.9

0.22 / 0.9 = 0.25

Therefore the correct answer is option C which is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B will be 0.25.

To know more about mean follow

brainly.com/question/968894

#SPJ1

7 0
2 years ago
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