Answer:
or, y + 4 = m (x - 7) + c is the given equation.
Step-by-step explanation:
Here, the slope of the equation = -5
⇒m = -5
The given point is (7, -4)
⇒
Now, the general form of the equation is :
: c = arbitrary constant
So, the given equation becomes
or, y+ 4 = m (x - 7) + c is the given equation.
Here, m = the slope of the equation.
Please check the attached image for answer.
<em>By </em><em>Benjemin</em>
Answer:
a = √11 and b = 6
Step-by-step explanation:
Refer to attached picture for reference
for an right triangle with angle θ
we are given
cos θ = 5/6 = length of adjacent side / length of hypotenuse
hence
adjacent length = 5 units
hypotenuse length = 6 units
the missing side is the "opposite" length which we can find with the Pythagorean equation. in our case:
hypotenuse ² = adjacent ² + opposite² (rearrange)
opposite ² = hypotenuse ² - adjacent ²
opposite ² = 6² - 5²
opposite = √ (6²-5²) = √11
sin θ = opposite length / hypotenuse (substitute values above)
sin θ = √11 / 6
hence a = √11 and b = 6
