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3 years ago

Write first four terms of an AP when the first term is -2 and common difference is O.

Mathematics

2 answers:

Nina [5.8K]3 years ago

6 0

<h3>Answer: -2, -2, -2, -2</h3>

Explanation:

If the common difference is 0, then we're adding 0 to each term to get the next term. However, adding 0 doesn't change the number. So that's why we have the same thing written four times.

As another example, let's say the common difference was 1 instead of 0. That would mean the first four terms are -2, -1, 0, 1 since we add 1 to each term to get the next one (eg: -2+1 = -1).

vovikov84 [41]3 years ago

4 0

Answer:

-2, -2, -2, -2.

Step-by-step explanation:

If the common difference (d) is 0 then all terms are the same as the first:-

AP = a, a + d, a + 2d, a + 3d

Here we have -2, -2+0, -2 + 2(0), -2 + 3(0)

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What is the area of rectangle DEFG shown below.

Pie

Answer:

60 square units

Step-by-step explanation:

You can get there a couple of ways.

One way is to consider the enclosing rectangle, which is 9 units by 11 units, so has an area of 99 square units. From that will be subtracted two triangles having height 2 and width 6, and two triangles having height 3 and width 9. Thus the net area in rectangle DEFG is ...

99 - 2·6 - 3·9 = 60 . . . square units

Another way is to find the lengths of each of the sides and multiply those.

Short side = √(2²+6²) = 2√10

Long side = √(3²+9²) = 3√10

area = short side × long side = (2√10)(3√10) = 6·10 = 60 . . . square units

5 0

3 years ago

If ³√a=am , what is m

Zina [86]

$\sqrt[3]{a} = {a}^{m} \\ = > { a}^{ \frac{1}{3} } = {a}^{m} \\ = > m = \frac{1}{3}$

<u>Answer</u><u>:</u>

Hope you could understand.

If you have any query, feel free to ask.

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2 years ago

Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.

zloy xaker [14]

Answer:

The statement, one fifth of the square of a number is written as

$\frac{1}{5} {x}^{2}$

Hope this helps you

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3 years ago

For PE Mr Jones wants to split boys and girls equally into as many mixed groups as possible. There are 168 boys and 60 girls. Ho

Bond [772]

Answer:

Step-by-step explanation:

You need the greatest common factor of 168 and 60.

168 = 2^3 * 3 * 7

60 = 2^2 * 3 * 5

For the GCF, you need common factors with the lower exponent.

Between 2^3 and 2^2, choose 2^2.

Then you have 3 as a common factor.

5 and seven are not common.

GCF = 2^2 * 3 = 12

Answer: 12

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3 years ago

Which statements are true about these lines? Select three options.

shepuryov [24]

RS is perpendicular to MN and PQ.

We can use the slopes of these lines to determine the answer.
Slope is given by the formula
m=.

Using the coordinates for M and N, we have:
m=.

Since PQ is parallel to MN, its slope will be as well, since parallel lines have the same slope.

Using the coordinates for points T and V in the slope formula, we have
m=.

This is not parallel to MN or PQ, since the slopes are not the same.
We can also say that it is not perpendicular to these lines; perpendicular lines have slopes that are negative reciprocals (they are opposite signs and are flipped). This is not true of TV either.

Using the coordinates for R and S in the slope formula, we have
m=. Comparing this to the slope of RS, it is flipped and the sign is opposite; they are negative reciprocals, so they are perpendicular.

8 0

3 years ago

Read 2 more answers

Write first four terms of an AP when the first term is -2 and common difference is O.​

Write first four terms of an AP when the first term is -2 and common difference is O.