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3 years ago

What is the slope represented in the table ?

Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

4 0

Answer:

slope:2

Step-by-step explanation:

Slope is rise/run, or change in y/change in x.

With that being said, we only need two points to solve this.

Let's take the points (0,7) and (1,9)

The formula for finding the slope from two points is m=(y2-y1)/(x2-x1).

M is the slope.

y2 would be the y-value of the second point,9. y1 would be the y-value of the first point, 7.

x2 would be the x-value of the second point, 1. x1 would be the x-value of the first point, 0.

Plugging those values in to the formula, we get m=(9-7)/(1-0)

Simplifying, we get m=2/1, which is m=2.

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Sine of x divided by one minus cosine of x + sine of x divided by one minus cosine of x = 2 csc x

kolbaska11 [484]

Answer:

The answer in the procedure

Step-by-step explanation:

we have

$\frac{sin(x)}{1-cos(x)}+\frac{sin(x)}{1-cos(x)}=2csc(x)$

Prove the identity

In this problem there is a mistake: in order to obtain an identity the second denominator at the left side must be 1 + cosx

$\frac{sin(x)}{1-cos(x)}+\frac{sin(x)}{1+cos(x)}=2csc(x)$

Adds fraction in the left side

$\frac{sin(x)(1+cos(x)+sin(x)(1-cos(x)}{1-cos^{2} (x)}=2csc(x)\\ \\\frac{2sin(x)}{1-cos^{2} (x)}=2csc(x)$

Remember that

$csc(x)=\frac{1}{sin(x)}$

and

$sin^{2}(x)+cos^{2}(x)=1$

$sin^{2}(x)=1-cos^{2}(x)$

substitute

$\frac{2sin(x)}{sin^{2}(x)}=2\frac{1}{sin(x)}$

Multiply both sides by sin(x)

$(sin(x))\frac{2sin(x)}{sin^{2}(x)}=2$

$\frac{2sin^{2}(x)}{sin^{2}(x)}=2$

$2=2$ ----> identity verified

6 0

3 years ago

The first terms of a geometric sequence are 0.778,-2.33,7,-21, and 63. What is the 6th term?

aliya0001 [1]

Answer:

-189

Step-by-step explanation:

If you continue the pattern by multiplying the term by -3, you will eventually get -189 as the 6th term

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4 years ago

Convert the angle θ = 1 4 π 9 θ= 9 14π theta, equals, start fraction, 14, pi, divided by, 9, end fraction radians to degrees.

andriy [413]

For this case we have the following conversion:
π radians = 180 degrees
Applying the conversion we have:
θ = ((14/9) π) * (180 / π)
Rewriting we have:
θ = (14/9) * (180)
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Answer:
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svetlana [45]

I bet it would 95.488

Try substituting B with the answer choices to detect which one would be the best choice

Hoped i helped CX

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nikdorinn [45]

Answer:

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