Answer:
a
Step-by-step explanation:
Recall that the "point-slope" form of a linear equation may be expressed as
y = mx + b,
where m is the gradient.
If m is negative, the gradient is negative.
If m is positive, the gradient is positive.
In our case, if we consider option A,
x + 3y = -2 (rearranging)
3y = -x -2
y = (-1/3) x - (2/3)
if we compare this to the general equation at the top, we can see that
gradient, = m = (-1/3) which is negative.
hence option a has a negative gradient.
K = F + 459.67
Subtract K on both sides:
0 = F - K + 459.67
Subtract F on both sides:
-F = -K + 459.67
Divide each term by -1 so that the variables are positive:
F = K - 459.67
2 over 3 you're welcome :)
The third choice is correct and can be found by plugging the values into Point-Slope Form.
Given that ABC is a right triangle.
The length of AC = 10 and AB = 17
We need to determine the m∠B
<u>The measure of ∠B:</u>
The side opposite to ∠B is AC and the hypotenuse of the triangle is AB
The m∠B can be determined using the trigonometric identity,
where 
and 
Substituting, we get;
Substituting the values, we get;
Taking 
on both sides of the equation, we have;
Rounding off to the nearest tenth, we get;
Hence, the measure of ∠B is 36.0°
