Answer:

Step-by-step explanation:
The given expression can be represented as:.5⁶
Required
Find equivalent expression

Express 6 as 3 + 3

Apply the following law of indices

So, we have:

Express
as 125

Hence, option (b) is equivalent
Answer: A and C
Explanation: 6766 x 1/4 = 1,691.5, 6766 x 1/2 = 3383
Hope this helps
With this, we have have a few things going on here. First notice the chain rule needed for 3x and then that d/dx sinx = cosx , d/dx cosx = -sin× , d/dx -sinx = - cos and finally
d/dx -cosx = sinx. In knowing these derivatives, you know that you need to take the derivative FOUR times to return it back to itself. Doing the 77th derivative makes you do taking the derivative in these 4 time "cycles" 19 times (bc 77/4 = 19.25) which leaves you with taking the derivative just ONCE more after the first 76 times. So the 77th derivative of sinx is cosx. That is not all though. Recognixe that you will also multiply it by 3 77times bc of chain rule, so the 77th derivative of sin (3x) is......: ( 3^77 × cos (3x) )
Answer:
hi! this may all seem confusing but don't worry it's easy once you get it!
so we have a line this line y=4x-7 is what we will use to plugin our point
and (0,2) is your point!
2=4(0)+b
2=b
and usually you don't have to do that (HINT: if it's 0,a number it's already b like the number that isn't 0 is b aka the y intercept)
y=4x + 2 would be the answer!
REMEMBER: Parallel is always the same so you will use the SAME SLOPE!
Well what is the slope? Slope is always mx! you can find it using the slope formula if it is not given, like this equation it was given
If this said PERPENDICULAR then it would be negative reciprocal of your slope and same equation!
hope this helps :)
new question: write an equation of the line that contains the point (1,5) and have the same y-intercept as the line 2x+3y=6
so we need to move this from standard form to slope intercept
2x + 3y=6
-3y= -2x + 6
y= 2/3x - 2
now we've solved! our y intercept is now -2 and slope is 2/3x
okay and now let's plug it in!
again let's plugin our point
5= 2/3 (1) + b
4 1/3= b
so! y= 2/3x - 4 1/3
Answer:
40.80 km
Step-by-step explanation:
Given: AP (opposite)= 33 km
PB(adjacent)= 24 km
Now, finding the value of AB (hypotenous)
Using the pythagorean theoram to solve it.

⇒ 
⇒
⇒
Taking square root on both side, remember; 
⇒
∴ AB= 40.80 km