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3 years ago

Match the vocabulary word to its correct definition

Mathematics

1 answer:

UkoKoshka [18]3 years ago

4 0

Answer:

1. Term.

2. Common difference.

3. Arithmetic sequence.

4. Sequence.

Step-by-step explanation:

1. Term: an individual quantity or number in a sequence. For example, 1, 2, 3, 5, 6. The first term is 1 while 5 is the fourth term.

2. Common difference: the fixed amount added on to get to the next term in an arithmetic sequence. For example, 2, 4, 6, 8 have a common difference of 2 i.e (6 - 4 = 2).

3. Arithmetic sequence: a sequence in which a fixed amount such as two (2) is added on to get the next term. For example, 0, 2, 4, 6, 8, 10, 12.... is an arithmetic sequence.

4. Sequence: a set of numbers that follow a pattern, with a specific first number. For example, 1, 2, 3, 4, 5, 6 is a sequence.

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andriy [413]

Answer:

LP = 18

Step-by-step explanation:

Given that,

In ΔLPN,

LQ = 6, LM = 11 and MN = 22

We need to find the length of LP.

As QM ║PN, let QP = x

$\dfrac{LQ}{LP}=\dfrac{LM}{LN}\\\\\dfrac{6}{6+x}=\dfrac{11}{11+22}\\\\\dfrac{6}{6+x}=\dfrac{11}{33}\\\\198=66+11x\\\\198-66=11x\\\\132=11x\\\\x=12$

LP = 6+x

= 6+ 12

= 18

Hence, the length of LP is 18.

3 0

3 years ago

Experts/ace/trusted helpers

Degger [83]

5.67811 x 3.15576 = 17.918

10^5 x 10^7 = 10^12

move the decimal place over in the 1st part to make 1.79 and add 1 to the exponents to make 13

answer would be 1.791875241e13

8 0

3 years ago

How many radians is 270°??

earnstyle [38]

Converting degrees to radians is easy if you remember,
$\pi =180$
So anytime you have an angle, just divide by 180 and put pi on the end.
$270 =\ \textgreater \ \frac{270}{180} \pi = \frac{3}{2} \pi$

3 0

3 years ago

When a number is increased by 9 it is five times its opposite. Find the number.

Alla [95]

Let the unknown number be $x$ .

Then the opposite of this unknown number will be $-x$ .

It is given to us in the question that when this unknown number, $x$ is increased by 9, or in other words when 9 is added to this unknown number, $x$ , then this becomes 5 times it's opposite, which is $-x$ .

Thus, from the given condition in the question, the equation we get is as:

$x+9=-5x$