Answer:
The simplified value of is .
Step-by-step explanation:
As the given expression is
Lets simplify this expression step by step
As
So, lets plug in equation [A] i.e.
∵
∵
Therefore, the simplified value of is .
Keywords: simplification, exponent rule
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Answer:
Hence, the system of equation does not have solution.
Step-by-step explanation:
You have the following 2x2 system:
You can obtain the solution to the system by using substitution method.
You solve the first equation for x:
(3)
Next, you replace (3) in the equation (2), and you solve for y:
The last result is the trivial solution. This means that the equation (2) is a multiple scale of the first equation. In fact, if you multiply equation (1) by -4, you obtain the equation (2).
Hence, the system of equations does not have solution.
Answer:
s = 16.97 units
Step-by-step explanation:
Since this is a right triangle, we can use trigonometry to figure out the lengths of the sides.
Look at the 45 degree angle. We can use the opposite side (12) and the hypotenuse (s) to solve for s.
Opposite and hypotenuse is sine, so we are using sine. The sine of 45 degrees is 0.70710678118. Make an equation like so:
- 0.70710678118 = , and we are solving for s.
Put a 1 in the denominator of sine(45 degrees) so you can cross-multiply.
Cross multiply.
Divide both sides by sine(45 degrees).
The length of side s is 16.97 units.
Another way to have done this problem is to use the Pythagorean theorem: a^2 + b^2 = c^2
Substitute 12 for a and b and solve for c, the hypotenuse.
Evaluate the exponents.
Add them together.
Square root 288 to solve for c.
c = 16.97, which is the same answer as you got using trigonometry.
Answer:
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Step-by-step explanation: