Answer:
The value of x is -29 and the value of y is -26
Step-by-step explanation:
we know that
If two figures are congruent, then its corresponding angles and its corresponding sides are congruent
so
The length of the corresponding sides must be equal
----> equation A
----> equation B
Note
The length of one side of the triangle equal to -5 is not logical, however we will continue with the resolution of the problem for didactic purposes.
Solve the system by graphing
Remember that
the solution of the system of equations by graphing is the intersection point both graphs
using a graphing tool
The solution is the point (-29,-26)
see the attached figure
therefore
The value of x is -29 and the value of y is -26
Umm... 16(m-14)?
16m-224
If it is 16m-14, I’m not sure how to solve without more information.
Answer:

Step-by-step explanation:
I assume you mean
:
Use the formula
where
and
are the lower and upper bounds and
is the equation of the polar curve.
Since the graph is symmetrical about the line
, let the bounds of integration be
to find half the area of the curve, and then find twice of that area:


![A=\biggr[41\biggr(\frac{\pi}{2}\biggr)-48\cos\biggr(\frac{\pi}{2}\biggr)-16\sin2\biggr(\frac{\pi}{2}\biggr)\biggr]-\biggr[41\biggr(-\frac{\pi}{2}\biggr)-48\cos\biggr(-\frac{\pi}{2}\biggr)-16\sin2\biggr(-\frac{\pi}{2}\biggr)\biggr]\\\\A=\biggr[\frac{41\pi}{2}-24\sqrt{2}\biggr]-\biggr[-\frac{41\pi}{2}+24\sqrt{2}\biggr]\\ \\A=41\pi\\\\A\approx128.8053](https://tex.z-dn.net/?f=A%3D%5Cbiggr%5B41%5Cbiggr%28%5Cfrac%7B%5Cpi%7D%7B2%7D%5Cbiggr%29-48%5Ccos%5Cbiggr%28%5Cfrac%7B%5Cpi%7D%7B2%7D%5Cbiggr%29-16%5Csin2%5Cbiggr%28%5Cfrac%7B%5Cpi%7D%7B2%7D%5Cbiggr%29%5Cbiggr%5D-%5Cbiggr%5B41%5Cbiggr%28-%5Cfrac%7B%5Cpi%7D%7B2%7D%5Cbiggr%29-48%5Ccos%5Cbiggr%28-%5Cfrac%7B%5Cpi%7D%7B2%7D%5Cbiggr%29-16%5Csin2%5Cbiggr%28-%5Cfrac%7B%5Cpi%7D%7B2%7D%5Cbiggr%29%5Cbiggr%5D%5C%5C%5C%5CA%3D%5Cbiggr%5B%5Cfrac%7B41%5Cpi%7D%7B2%7D-24%5Csqrt%7B2%7D%5Cbiggr%5D-%5Cbiggr%5B-%5Cfrac%7B41%5Cpi%7D%7B2%7D%2B24%5Csqrt%7B2%7D%5Cbiggr%5D%5C%5C%20%5C%5CA%3D41%5Cpi%5C%5C%5C%5CA%5Capprox128.8053)
Thus, the area of the curve is 41π square units. See below for a graph of the curve and its shaded area.
Answer:
cos B
Step-by-step explanation:
Let us take a look at angle B
The side adjacent angle B is 24 while the hypotenuse (the side facing the right angle) is 25
The relationship between the adjacent and the hypotenuse can be mapped our using the cosine
So, the cosine is the ratio between the adjacent and the hypotenuse
Hence, cos B = 24/25