Step-by-step explanation:
sin^(2)x + sin x = 0
sin x(sin x +1)= 0
sin x = 0 or sin x = -1
so, x = 0°, 180°, 270°
{0°, 180°, 270°}
The perpendicular line will have a slope of b/a.
To find this, we first have to solve our equation for slope intercept form.
ax + by = c ----> subtract ax
by = -ax + c ----> divide by b
y = -a/bx + c/b.
So we know the slope of this equation to be -a/b. Since perpendicular lines have opposite and reciprocal slopes, we know we can simply flip the fraction and make it a negative to get the new slope of b/a.
A right triangle is a special type of triangle where one of the angles makes a right angle or has 90 degrees. The longest side is called as the hypotenuse. The sides can be related by the Pythagorean theorem but it would not be useful here since we are given an angle. Instead, we find other relations. The sides and the angles can also be related by trigonometric functions. For this case we use cosine given that the leg given is adjacent to the angle. We calculate as follows:
cosine 51 = 12 units / hypotenuse
hypotenuse = 19.07 units
The length of the hypotenuse would be about 19.07 units.
Answer:
The left side 7 is greater than the right side −9
, which means that the given statement is always true.
True
Step-by-step explanation: