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2 years ago

Im so confused pls help

Mathematics

1 answer:

LuckyWell [14K]2 years ago

6 0

Answer:

(d) f(x) = log₆(x)

Step-by-step explanation:

If we use y in place of f(x), we see that ...

x = 6^y

Taking logs of both sides, we get ...

log(x) = y·log(6)

y = log(x)/log(6)

y = log₆(x) . . . . . . . using the change of base formula

f(x) = log₆(x)

_____

Or you can get there more directly using the relation between logs and exponentials:

$\displaystyle a = b^c\ \leftrightarrow\ c=\log_b(a)$

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Suppose we have a right triangle with legs of length a and b and hypotenuse of length c. Suppose b=3 and c=5. Then a= , For the

ANTONII [103]

Answer:

Length of right-angle triangle 'a' = 4

$sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}$

$cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}$

$tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}$

Step-by-step explanation:

Step(i):-

Given b = 3 and hypotenuse c = 5

Given ΔABC is a right angle triangle

By using pythagoras theorem

c² = a² + b²

⇒ a² = c² - b²

⇒ a² = 5²-3²

=25 - 9

a² = 16

⇒ a = √16 = 4

The sides of right angle triangle a = 4 ,b = 3 and c = 5

Step(ii):-

$sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}$

$cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}$

$tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}$

7 0

3 years ago

At a grocery store, 4 pounds of candy costs $12. If he has $15 how many pounds of these candy can he buy?

Romashka [77]

Answer:

He can buy 5 pounds of candy.

Step-by-step explanation:

12/4 equals 3 meaning that 1 pound is 3$

That then means 15/3=5

5 0

3 years ago

PLEASE HELP!! What is the length of BC?

valina [46]

x+4=2x+1

-x -x

4=x+1

-1

3=x

3+4 = 7

2(3)+1 = 7

7+7=14

BC = 14

4 0

3 years ago

which equation is in slope-intercept form and represents a line with slope 3 through the point (9,-4)

krek1111 [17]

Slope-intercept form is y = mx +b, where the variable m represents the slope of the line and the variable b represents the y-intercept of the line. Since we weren't given the y-intercept, one way to solve this problem is substitute the slope for the variable m and then the x and y values from the ordered pair to solve for b.

y = mx + b

y = 3x + b

-4 = 3(9) + b

Now, we can simplify by computing the multiplication on the right side of the equation.

-4 = 27 + b

Finally, we can find the value for b by subtracting 27 from both sides of the equation to get:

-31 = b

Now, we should substitute this value for b back into our equation with the slope.

y = 3x - 31

Therefore, your answer is y = 3x - 31.

Hope this helps!

6 0

4 years ago

Read 2 more answers

Are my angles correct?

Licemer1 [7]

Answer:

Yes. You are correct.

Step-by-step explanation:

Tan(U) = opposite / adjactent

Tan(U) = 7*√3 / 7

Tan(U) = √3

Just off the top of my head, they look right.

U = Tan-1 (√3)

U = 60

Therefore tan(W) = 90 - 60 = 30

6 0

3 years ago