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VLD [36.1K]
3 years ago
11

How would I know what lines are intersecting, perpendicular, parallel and coinciding based off an equation given? Like in the pi

cture listed.

Mathematics
1 answer:
NikAS [45]3 years ago
8 0
If lines are paralel, then they have the same slope
if the lines are pependicuilar, the slopes mutiply to -1

so

y=mx+b
m=slope

and
ax+by=c
-a/b is the slope

given
y=2/3x-2
slope is 2/3

x+y=4
slope is -1/1 or -1

2/3≠-1 and -1 times 2/3≠-1 so they are neither perpendicular or paralell

since they aren't paralell, we know they intersect somewhere
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So, to estimate you round to an easy number to work with. In this case, we will round to the ten for the 8, which becomes 10. We will round to the nearest 1,000 for the 6,783, which will become 7,000. Now divide 7,000÷10, the quotient is 700.
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Which of the following is not something you should consider when evaluating an investment advisor? a. Their experience b. Whethe
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Answer: Whether or not they are registered with FINRA.

Step-by-step explanation: When evaluating an investment advisor, it is important to evaluate their level of experience, educational background as it goes a long way in giving clients a clue of the advisors possible offering, knowledge and expertise. Additionally, an Investment advisor should be registered with the Security and Exchange Commission (SEC), which is a federal regulatory agency charged with making regulatory policies that aid investor protection and proper market functioning. Being registered with FINRA, Financial Industry Regulatory Authority is not really to be considered as it is a self regulatory body (that is non governmental) and the main rules and policies guiding the market are made by SEC.

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What is the volume of the cylinder shown? (Use 3.14 for π .) the height is 21 in and half the diameter is 15 .
-BARSIC- [3]

Answer:

Volume = 14,836.5 cubic inches

Step-by-step explanation:

Cylinder not shown but information given. So we will calculate the volume.

Volume of Cylinder is given by the formula:

V=\pi r^2 h

Where

V is the volume

r is the radius (HALF of DIAMETER)

h is the height

It is given in the problem,

Height is 21

h = 21

and

half the diamter (aka radius) is 15

r = 15

Substituting into formula and using 3.14 for \pi, we get the volume:

V=\pi r^2 h\\V=\pi (15)^2 (21)\\V=(3.14)(225)(21)\\V=14,836.5

Hence, the volume is:

Volume = 14,836.5 cubic inches

7 0
3 years ago
F (x) = x^2 + 2x - 5<br> g(x) = 2x + 4<br> What is (f• g)(x)?
Vilka [71]

Answer:

Step-by-step explanation:

This is a composite function, f(g(x)). This means, working from the inside function to the outside, we will take the function g and plug it in for x in the f function. g(x) = 2x + 4. We will plug that into f(x) and evaluate f(2x+4):

f(g(x))=(2x+4)^2+2(2x+4)-5 and I imagine your teacher has you simplify completely. We FOIL and distribute to get

f(g(x))=4x^2+16x+16+4x+8-5 which, by combining like terms, give us

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5 0
3 years ago
The average of six positive integers starting with a is equal to b. What is the average of five consecutive integers ending with
kvasek [131]

The average of the five consecutive numbers ending with b in discuss when expressed in terms of a is; Choice D; a+3.

<h3>What is the average of five consecutive integers ending with b?</h3>

First, since it was given in the task content that the average of six positive consecutive odd integers starting with a is equal to b, it therefore follows that;

(a+a+2+a+4+a+6+a+8+a+10)/6 = b

6b=6a+30

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Also, let the average of the consecutive intergers ending with b be denoted by; x.

(b+b-1+b-2+b-3+b-4)/5 = x

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The average, x=b – 2 (where b = a-5)

Ultimately, the value of the required average is; = a+5-2 = a+3.

Read more on average of integers;

brainly.com/question/24369824

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7 0
11 months ago
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