Answer:
3x^2 -3
Step-by-step explanation:
3 (x-1) (x+1)
FOIL the terms in parentheses
first x*x = x^2
outer x*1 =x
inner -1 *x = -x
last -1 *1 = -1
Add them together
x^2 -x+x -1 = x^2 -1
3 ( x^2 -1)
Now multiply by 3
3x^2 -3
Answer:
Angle 2 & 4 = 72
Step-by-step explanation:
Angle 7 is corresponding to angles 3.
So, since we know angle 7 = 108, then angle 3 = 108.
Angle 3 is supplementary to angle 2, which means they add up to 180º.
So if angle 3 = 108.
Then:
Angle 2 + 108 = 180
Angle 2 = 72º.
Angle 2 & angle 4 are vertical angles, so they have the same measure. Therefore,. If angle 2 is 72º, then angle 4 has to also be 72º.
Hope this helps! Have a great day!
Y = 6x + 20
Slope: 6
Y - Intercept: 20
y = 2x + 10
Slope: 2
Y - Intercept: 10
y = -3x + 20
Slope: -3
Y - Intercept: 20
y = 5x + 10
Slope: 5
Y - Intercept: 10
y = 3x + 6
Slope: 3
Y - Intercept: 6
Answer:
1
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.
Trigonometric functions are used to show the relationship between the angles of a triangles and the sides of the triangle. For a right angled triangle, the ratio of the sides can be gotten using trigonometric functions such as:
cosθ = adjacent/hypotenuse, sinθ = opposite/hypotenuse, tanθ = opposite/adjacent
Given the right angle triangle:
cos(A) = adjacent / hypotenuse = 3 / 4.24
cos(A) = 3 / 4.25
cos(B) = adjacent / hypotenuse = 3 / 4.24
cos(B) = 3 / 4.24
cos(A) / cos(B) = (3 / 4.24) ÷ (3 / 4.24) = 1
cos(A) / cos(B) = 1