Answer:
y = --0.25x + 1
Step-by-step explanation:
In order to find the equation of a line, you must first find the slope of the line.
The equation to find slope is .
Plug in the given points:
(x2, y2) = (-8,3)
(x1, y1) = (-4,2)
(y2 - y1) / (x2 - x1) = (3-1)/ (-8 - -4) = (3-2) / (-8 + 4) = 1/-4 = -0.25
Next, you solve for the y-intercept using one of the two coordinates:
y = -0.25x + b
2 = -0.25(-4) + b
2 = 1 + b
b = 2 - 1 = 1
y = -0.25x + 1
Answer:
x = 25.734083
Step-by-step explanation:
<u>Trigonometric Ratios</u>
The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant, and cotangent.
The longest side of the triangle is called the hypotenuse and the other two sides are the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
Note we are given an angle of 25°. The opposite side is 12 and the adjacent side is x. We need to relate those sides with a trig function (the tangent ratio)
Tangent Ratio:
Substituting:
Solving for x:
Calculating:
x = 25.734083
Round to 3 decimals: