Answer:
Domain: all real numbers
Range: all real numbers
Step-by-step explanation:
It may help to graph the equation and analyze it.
Two angles of the adjacent side of a trapezoid should have a total angle of 180. In You can get this equation:
∠OPM + ∠PMN= 180
∠OPM = 180- ∠PMN
∠OPM = 3(∠PMN) -10
180- ∠PMN= 3∠PMN -10
180+10= 3∠PMN + ∠PMN
4 ∠PMN= 190
∠PMN= 47.5
∠OPM + ∠PMN= 180
∠OPM + 47.5= 180
∠OPM = 180-47.5= 132.5
Answer:
B.
Step-by-step explanation:
Since we know that in 30-60-90 triangle, the side corresponding to angle 90 degrees is two times the length of side corresponding to 30 degree angle. The length of side corresponding to 60 degree angle is times the length corresponding to 30 degree angle.
We can see from our given choices that the side corresponding to 30 degree angle is 5 units.
Therefore, the side lengths of a 30-60-90 triangle will be and option B is the correct choice.
We have that the coordinates given are for a sphere.
As we look for a circle parallel to the xy plane, then our xy coordinates are:
(x, y) = (4, 2)
The standard equation of the circle is:
(x - h) ^ 2 + (y - k) ^ 2 = r ^ 2
where h and k are the x and y coordinates of the center of the circle and r is the radius.
We have then:
h = 4
k = 2
r = 3
The equation of the circumference is:
(x - 4) ^ 2 + (y - 2) ^ 2 = 9
answer
(x - 4) ^ 2 + (y - 2) ^ 2 = 9
You can say that the first part of the book has (x) number of pages. That would mean that the second part has (x+64) pages. To find the actual number of pages, set up an equation and solve for (x).
<u>Equation</u> <u>Next step</u>
x + (x+64) = 1382 simplify
2x + 64 =1382 subtract 64 from each side of the = sign
2x = 1318 divide both sides by 2
x = 659 pages in the first part
x + 64 = pages in the second part
659 + 64 = 723 pages in the second part