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3 years ago

Determine the slope of a line perpendicular to the line with equation 6x-4y= 30

2 answers:

5 0

Start by putting it in slope intercept form.
6x - 4y = 30
6x - 30 = 4y
(6/4)x - 30/4 = y
simplify
(3/2)x - 15/2 = y

A perpendicular line will have a reversed slope. Take the negative reciprocal (flip it over, make negative).
slope of perpendicular line: -2/3

UNO [17]3 years ago

3 0

6x - 4y = 30
-4y = -6x + 30
y = 3/2x - 15/2....slope here is 3/2. A perpendicular line will have a negative reciprocal slope. All that means is flip the slope and change the sign. So ur perpendicular line will have a slope of -2/3 (see how I flipped 3/2 making it 2/3...and then changed the sign, making it -2/3)

answer : perpendicular line will have a slope of -2/3.

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What is the value of the 9th term in the following geometric sequence?

earnstyle [38]

Answer: The correct option is (D) 196608.

Step-by-step explanation: We are given to find the value of the 9th term in the following geometric sequence :

3, 12, 48, 192, . . .

We know that

the n-th term of a geometric sequence with first term a and common ratio r is given by

$a_n=ar^{n-1}.$

For the given sequence, we have

first term, a = 3 and the common ratio, r is given by

$r=\dfrac{12}{3}=\dfrac{48}{12}=\dfrac{192}{48}=~~.~~.~~.~~=4.$

Therefore, the 9th term of the given sequence will be

$a_9=ar^{9-1}=3\times 4^8=3\times65536=196608.$

Thus, the required 9th term of the given sequence is 196608.

Option (D) is CORRECT.

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3 years ago

Citizens under the age of 18 are not allowed to vote." Part A: Write an inequality to show the age of citizens who are allowed t

Vlada [557]

The age of citizens allowed to vote is x:
x >= 18

B
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3 years ago

2 minus twice a number

WITCHER [35]

Answer:

2 - 2n

Step-by-step explanation

We can use n for the number.

2 - 2(n)

2- 2n

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3 years ago

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vekshin1

I would say it represents the volume function evaluated at r=5/7, or

V(5/7)=(4/3)π(5/7)² = 2.13714

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