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2 years ago

Rationalize the denominator. - 11x^3/ Root7x+1

Mathematics

1 answer:

sukhopar [10]2 years ago

6 0

Answer:

maybe 0

Step-by-step explanation:

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Please help I don’t understand how to solve this !

Ket [755]

Answer:

x = 30

Step-by-step explanation:

x + 2x + 3x = 180

6 6

x = 30

8 0

2 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csec%5Cleft%28x%5Cright%29%7D%7B%5Ccos%5Cleft%28x%5Cright%29%7D-%5Cfrac%7B%5Csin%5

DanielleElmas [232]

Answer:

Step-by-step explanation:

First, convert all the secants and cosecants to cosine and sine, respectively. Recall that $csc(x)=1/sin(x)$ and $sec(x)=1/cos(x)$ .

Thus:

$\frac{sec(x)}{cos(x)} -\frac{sin(x)}{csc(x)cos^2(x)}$

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

Let's do the first part first: (Recall how to divide fractions)

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

For the second term:

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

So, all together: (same denominator; combine terms)

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

Note the numerator; it can be derived from the Pythagorean Identity:

$sin^2(x)+cos^2(x)=1; cos^2(x)=1-sin^2(x)$

Thus, we can substitute the numerator:

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

Everything simplifies to 1.

7 0

2 years ago

The figure is transformed as shown in the diagram. Describe the transformation. A) dilation,then reflection B) reflection, then

Lelu [443]

Answer:

A! The polygon was dilated, then reflection vertically!

8 0

2 years ago

Read 2 more answers

(7y is supposed to be 7x)

Andrei [34K]

Answer:

Step-by-step explanation:

Angle E is (7x+27) because it is corresponding.

So, 7x+27+15x-5=180 (angle on a straight line is 180 degrees

22x+22=180

22x=158

x= 158/22 = 7.18'

7 0

2 years ago

7(-2k+4)-6=7k-20 what is the answer

lord [1]

The answer to this equation would be k=2

7 0

3 years ago