The answer to this equation 3x-4y=20
Step-by-step explanation:
We gotta mess with those exponents and their bases!
Remember that
So can be written as
We just substitued 4 for .
Now remember that that lonely 2 has a hidden exponent of 1.
So we have
Remember what we do with exponents raised to exponents? We MULTIPLY them, so we get.
Now we can just add the exponents.
I think I spot a winner.
Pictures always help; see the one I've attached for reference.
Call the first vector (from HQ to the supply drop) u and the second vector (from supply drop to medics) v. We then want to find w, the vector from the medics to HQ, which corresponds to the vector -(u + v). (This is because u + v is the vector pointing from HQ to the medics; we're talking about the one in the opposite direction.)
Write the vectors in horizontal/vertical component form:
u = (125 km) (cos 235º x + sin 235º y) = (-71.70 x - 102.39 y) km
v = (75 km) (cos 110º x + sin 110º y) = (-25.65 x + 70.48 y) km
Why these angles?
- "55 degrees south of west" is 235º; due west is 180º from the positive horizontal axis, and you add 55º to this
- "20 degrees west of north" is 110º; due north is 90º, so add 20º to this
Add the vectors:
u + v = (-97.35 x - 31.92 y) km
Multiply by -1 to get the vector w:
w = -(u + v) = (97.35 x + 31.92 y) km
The distance covered by this vector is equal to its magnitude:
||w|| = √((97.35 km)^2 + (31.92 km)^2) = 102.45 km
The direction <em>θ</em> is given by
tan<em>θ</em> = (31.92 km)/(97.35 km) ==> <em>θ</em> = 18.15º
Answer:
Example 1.
A square with side lengths of 5.
5*5 = 25.
So the area would be 25 units ^2
Example 2.
A rectangle with a length of 9 and a width of 4
9*4 = 36
So the area is 36 units ^2