Answer:
81/64 or 1 17/64
Step-by-step explanation:
A negative exponent means to flip the fraction
(8/9) ^-2
(9/8)^2
81/64
Changing this to a mixed number
1 17/64
Step-by-step explanation:
Jimmy is on top of a mountain that is +2300 above sea level. But Jimmy's friend is on vacation,and he is scuba diving 2300 feet below sea level.In this situation,0 represents sea level.
mark it brainliest if it helps you ❤️
Let's work on the left side first. And remember that
the<u> tangent</u> is the same as <u>sin/cos</u>.
sin(a) cos(a) tan(a)
Substitute for the tangent:
[ sin(a) cos(a) ] [ sin(a)/cos(a) ]
Cancel the cos(a) from the top and bottom, and you're left with
[ sin(a) ] . . . . . [ sin(a) ] which is [ <u>sin²(a)</u> ] That's the <u>left side</u>.
Now, work on the right side:
[ 1 - cos(a) ] [ 1 + cos(a) ]
Multiply that all out, using FOIL:
[ 1 + cos(a) - cos(a) - cos²(a) ]
= [ <u>1 - cos²(a)</u> ] That's the <u>right side</u>.
Do you remember that for any angle, sin²(b) + cos²(b) = 1 ?
Subtract cos²(b) from each side, and you have sin²(b) = 1 - cos²(b) for any angle.
So, on the <u>right side</u>, you could write [ <u>sin²(a)</u> ] .
Now look back about 9 lines, and compare that to the result we got for the <u>left side</u> .
They look quite similar. In fact, they're identical. And so the identity is proven.
Whew !
Answer: (-24,2)
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Work Shown:
The y coordinate stays the same. Only the x coordinate will change.
(1/4)*x = -6
x = -6*4
x = -24 is the new x coordinate
Plugging x = -24 into f((1/4)x) leads to f(-6) = 2
Answer: one solution
Step-by-step explanation:
CONCEPT:
- One solution is when the final variable would be able to find a solution.
- Infinite solution is when the equations result in 0=0, meaning any number will fit
- No solution is when the equation results in both sides on equal.
SOLVE:
Given
3/4x-7=3(1/6x+1)
Expand Parenthesis
3/4x-7=1/2+3
Multiply both sides by the LCM of fractions (Least Common Multiple)
4(3/4x-7)=4(1/2x+3)
3x-28=2x+12
Subtract both sides by 2x
3x-28-2x=2x+12-2x
x-28=12
Add both sides by 28
x-28+28=12+28
x=40
Since we are able to get exactly one solution, there is only one solution.
Hope this helps!! :)
Please let me know if you have any quesionts
