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2 years ago

Explain the different ways it is possible to add two rational numbers and get a negative number.

Mathematics

1 answer:

Eduardwww [97]2 years ago

3 0

Answer:

both numbers are negative

negative number is greater than the positive number

Step-by-step explanation:

In order to add two rational numbers and get a negative value, one of two scenarios should occur:

1- both numbers are negative.

2- negative number is greater than the positive number

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Solve easy equation (for points) 8+x+15=20

Andru [333]

Answer:

x= -3

Step-by-step explanation:

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7 0

3 years ago

The 5th term in a geometric sequence is 160. The 7th term is 40. What are possible values of the 6th term of the sequence?

omeli [17]

Answer:

C. The 6th term is positive/negative 80

Step-by-step explanation:

Given

Geometric Progression

$T_5 = 160$

$T_7 = 40$

Required

$T_6$

To get the 6th term of the progression, first we need to solve for the first term and the common ratio of the progression;

To solve the common ratio;

Divide the 7th term by the 5th term; This gives

$\frac{T_7}{T_5} = \frac{40}{160}$

Divide the numerator and the denominator of the fraction by 40

$\frac{T_7}{T_5} = \frac{1}{4}$ ----- equation 1

Recall that the formula of a GP is

$T_n = a r^{n-1}$

Where n is the nth term

So,

$T_7 = a r^{6}$

$T_5 = a r^{4}$

Substitute the above expression in equation 1

$\frac{T_7}{T_5} = \frac{1}{4}$ becomes

$\frac{ar^6}{ar^4} = \frac{1}{4}$

$r^2 = \frac{1}{4}$

Square root both sides

$r = \sqrt{\frac{1}{4}}$

r = ± $\frac{1}{2}$

Next, is to solve for the first term;

Using $T_5 = a r^{4}$

By substituting 160 for T5 and ± $\frac{1}{2}$ for r;

We get

$160 = a \frac{1}{2}^{4}$

$160 = a \frac{1}{16}$

Multiply through by 16

$16 * 160 = a \frac{1}{16} * 16$

$16 * 160 = a$

$2560 = a$

Now, we can easily solve for the 6th term

Recall that the formula of a GP is

$T_n = a r^{n-1}$

Here, n = 6;

$T_6 = a r^{6-1}$

$T_6 = a r^5$

$T_6 = 2560 r^5$

r = ± $\frac{1}{2}$

So,

$T_6 = 2560( \frac{1}{2}^5)$ or $T_6 = 2560( \frac{-1}{2}^5)$

$T_6 = 2560( \frac{1}{32})$ or $T_6 = 2560( \frac{-1}{32})$

$T_6 = 80$ or $T_6 = -80$

$T_6 =$ ±80

Hence, the 6th term is positive/negative 80

8 0

2 years ago

1. Solve triangle ABC if A = 42.3º, b = 12.9 meters, and c = 15.4 meters.

kumpel [21]

Answer:

a = 10.36m

B = 47.7º

C = 90º

Step-by-step explanation:

we know the angle of A so we do the sin of A; Spoiler: its 0.67

0.67 = a / 15.4

0.67 * 15.4 = a

a = 10.36

----------

B = 90 - 42.3 = 47.7º

6 0

2 years ago

Find the missing term. Picture attached. Helppp

3241004551 [841]

Idk lol I’m just writing this for the 100% sorry

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2 years ago

Read 2 more answers

A roller coaster slowly chugs up an incline at a steady rate and then picks up speed as it races down the other side.

Brums [2.3K]

Answer:

I think C the fourth graph

Step-by-step explanation:

7 0

2 years ago