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salantis [7]
3 years ago
10

What are the rules for adding and subtracting negative numbers?

Mathematics
1 answer:
Alexeev081 [22]3 years ago
4 0
A negative sign and a negative sign next to each other is a positive sign ex..

-14 - -3
= -14 + 3
= -11

a negative sign and a positive sign next to each other is a positive sign ex..

-14 + -3
= -14 - 3
= -17

the bigger a negative number the smaller it is
the bigger a positive number the larger it is
which supports the rule if you are subtracting the
number will become smaller and if you are adding
the number will become larger
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Firdavs [7]

Answer:

18.75 ft

Step-by-step explanation:

The given scenario can be drawn as shown in the following attachment.

Given that,

m\angle DCE=\angle ACB and m\angle DEC=\angle ABC=90^{\circ}

Therefore, \Delta ABC\sim \Delta DEC

\Rightarrow \dfrac{AB}{DE}=\dfrac{BC}{EC}

\Rightarrow \dfrac{AB}{5}=\dfrac{15}{4}

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7 0
3 years ago
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Vlada [557]

Answer:

U=80

B=44

Q=93

Step-by-step explanation:

U:180=U+37+63

180=U+100

180-100=U+100-100

80=U

B:180=B+90+46

180=B+136

180-136=B+136-136

44=B

Q:180=Q+36+51

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4 0
3 years ago
Evaluate. Write your answer in simplified, rationalized form. Do not round.
borishaifa [10]

Answer:

  cos(45°) = (√2)/2

Step-by-step explanation:

The cosine of 45° is the x-coordinate of the point on the unit circle where the line y=x intersects it. That is, it is the positive solution to the equation ...

  x^2 +x^2 = 1

  x^2 = 1/2 = 2/4 . . . . . collect terms, divide by 2, express the fraction with a square denominator

  x = √(2/4) . . . . . . take the square root

  x = (√2)/2 . . . . . simplify

The cosine of 45° is (√2)/2.

3 0
2 years ago
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irinina [24]

Answer:

The 3rd term is

ar^2

Step-by-step explanation:

From the given information, the first term of the sequence is

a_1=a

The common ratio of the sequence is

r

The explicit formula for a geometric sequence is :

a_n=a_1(r^{n-1})

To find the third term, we put n=3 to get:

a_n=a(r^{3-1})

This simplifies to:

a_3=ar^2

7 0
3 years ago
Write an expression for the sequence of operations described below.
BabaBlast [244]

Answer:

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