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BlackZzzverrR [31]
3 years ago
6

Which statement is correct?

Mathematics
1 answer:
notsponge [240]3 years ago
7 0

Answer:

B. Cosecant is the reciprocal of sine

Step-by-step explanation:

Well, this is where you have to remember your reciprocal identities in your trigonometric identities!

So:

- Cosecant is the reciprocal of sine

- Secant is the reciprocal of cosine

- Cotangent is the reciprocal of tangent

How I remember them is just the co is with the non-co (cosecant with sine (no co there) and cosine with secant. Tangent with cotangent is pretty easy to remember.)

I'll attach a picture for trig identities! Let me know if you have any further questions :)

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<h2>Answer with explanation:</h2>

Let x denotes the number of days and y denotes the total change in gas price ( in dollars).

Given : During the past seven days the price of regular gas is decreased by $0.2 each day.

Rate of decrease =$0.2 per day

Then , Total change in gas price = Rate of decrease x Number of days

i.e.y= 0.2 \times x

i.e. y=0.2x         (1)

To find the total change in gas price in 7 days , we put x= 7 in (1) , we get

y=0.2(7)=1.4    

Hence, the total change in gas price in 7 days = $1.4

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Step-by-step explanation:

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Ok so I have this problem, 12x+24=6x+3. WHAT DO I DO IF THE X HAS DIFFERENT NUMBERS. Oh and for 5-2x=2x-5 what do i do if ones a
lana [24]

Answer: one solution; that solution is x = -7/2 which is the same as x = -3.5

====================================================

Work Shown:

The idea is to get all the x terms to one side, and the other stuff to the other side. We follow PEMDAS in reverse to help isolate x

12x+24 = 6x+3

12x+24-24 = 6x+3-24 .... subtract 24 from both sides

12x = 6x-21

12x-6x = 6x-21-6x ...... subtract 6x from both sides

6x = -21 ...... now the x terms are all on one side

6x/6 = -21/6 ...... dividing both sides by 6

x = -21/6

x = (-7*3)/(2*3)

x = -7/2

x = -3.5

This is the only solution. Whenever we have different coefficients for the x terms like this, we can see right off the bat we have exactly one solution. Consider graphing y = 12x+24 and y = 6x+3. The two lines will intersect at the point (x,y) where the x coordinate is the solution to the original equation. There is only one point of intersection which corresponds to exactly one solution.

The thing to notice about y = 12x+24 and y = 6x+3 is that the slopes are not the same, so the lines aren't parallel. Parallel lines always have equal slopes but different y intercepts. If your teacher gave you 12x+24 = 12x+3, then the two lines to graph would be y = 12x+24 and y = 12x+3. At this point, we would get two parallel lines that don't intersect, and therefore we wouldn't get any solutions here.

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2 years ago
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