Using cosine, we can find the hypotenuse by using the formula below;
hypotenuse = adjacent / cos ∅
<h3 /><h3 /><h3>Trigonometric ratios:</h3>
- Trigonometric ratios are ratios of sides of a right angled triangle.
- The simplest ratios are cosine, sine and tangent.
Using cosine, the hypotenuse side can be solved as follows:
cosine ∅ = adjacent / hypotenuse
cross multiply
hypotenuse cos ∅ = adjacent
divide both sides by cos ∅
hypotenuse cos ∅ / cos ∅ = adjacent / cos ∅
Therefore,
hypotenuse = adjacent / cos ∅
learn more on cosines here: brainly.com/question/10657732?referrer=searchResults
For this case we have the following equation of a line:
To find the point of intersection with the x axis, we make y = 0:
We clear the value of "x":
So, the x-intercept of the line is 5.
To find the point of intersection with the y axis, we make x = 0:
We clear the value of "and":
So, the y-intercept of the line is 20.
Answer:
7x - 35 < 2(x -5)
Use distributive property on the right side:
7x -35 < 2x - 10
Add 35 to both sides:
7x < 2x + 25
Subtract 2x from both sides
5x < 25
Divide both sides by 5
X < 5
find the gradient = change in y/change in X
-5 - -3/-3 - -6
= -2/3
take any two point say -3,-5 and equate to the gradient
Y - 5 /X - 3 = -2/3
cross multiply
3y - 15 = -2x + 6
3y = -2x +6 + 15
3y = -2x + 21
y = -2/3x +7