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Sever21 [200]
3 years ago
14

If the mean proportional between x and 2 is 4, find x​

Mathematics
1 answer:
Maru [420]3 years ago
7 0

Answer:

b2 = ac

4 square = x×2

16=2x

x=8

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Simplify and write the trig expression in terms of sin and cos
dsp73

We have:

cot(-x)cos(-x)+sin(-x)=-\frac{1}{f(x)}

Then we use trigonometric identities to change the negative sign of the trigonometric functions, so:

-sin(x)-cot(x)cos(x)=-\frac{1}{f(x)}

We clear f(x):

f(x)=\frac{1}{sin(x)+cot(x)cos(x)}=\frac{1}{sin(x)+\frac{cos(x)}{sin(x)}cos(x)}=\frac{1}{sin(x)+\frac{cos^2(x)}{sin(x)}}

we simply what we can:

f(x)=\frac{1}{\frac{sin^2(x)+cos^2(x)}{sin(x)}}=sin(x)

Thus, the correct answer is;

f(x)=sin(x)

6 0
1 year ago
PERSON GETS 15 POINTZ PLZ HURRY The mean of the list n, n + 3, n+4, n+5, n+6, n+8, n+10, n + 12, n+15 is 11. What is the median?
7nadin3 [17]

Answer:

10

Step-by-step explanation:

To find the value of n we can write:

(n + n + 3 + n + 4 + n + 5 + n + 6 + n + 8 + n + 10 + n + 12 + n + 15) / 9 = 11

(9n + 63) / 9 = 11

9n + 63 = 99

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7 0
3 years ago
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Please help its inequalities 2x < 6
Katyanochek1 [597]

x < 3
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4 0
3 years ago
When do you get an answer to a system of linear equations that has one solution, no solution and infinitely many solutions?
meriva

Answer:

Step-by-step explanation:

One solution:  when two lines intersect in exactly one point.

Infinitely many solutions:  When one of two lines can be shown algebraically to be exactly the same as the other.  The two lines coincide.

No solution:  The two lines have the same slope but different y -intercepts.  They can't and don't intersect.

6 0
3 years ago
Plssss help what is x
makvit [3.9K]

Answer:

x = 4

Step-by-step explanation:

If you do not want to read the explanation go the the next part in bold

Ok so the shorter leg of the triangle is a radius of the circle. ( This is indicated by the point in the middle of the circle.) for the hypotenuse we are given one part of the length (2) The other part also happens to be a radius ( remember that a radius is a line that starts from the center of the triangle to any point of the circumference. ) Also remember that the radius is equal to 3. That being said the hypotenuse = 2+3 which equals 5.  

This triangle then happens to be a right triangle. ( A triangle formed by a tangent line and a radius is a right triangle.) This means that we can use the Pythagorean theorem to solve for x.

Below here is where the work is shown

a² + b² = c². where a and b = legs and c = hypotenuse. We are given the hypotenuse (5) and a leg (3) So we plug in what we are given and solve for the missing information. 5² = 3² + b²  

5² = 25

3² = 9

we would then have 25 = 9 + b²

Next we subtract 9 from each side

25 - 9 = 16

9 - 9 cancels out

Now we have 16 = b²

finally we want to get rid of the ²

To do so we take the square root of each side

\sqrt{16}=4\\\sqrt{b^2}=b\\b = 4

we're left with b = 4 which means that x = 4

8 0
3 years ago
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