Answer:
-3/-3=1
Step-by-step explanation:
Following changes are made in graph of G(x) to obtain F(x)
1) Vertical stretch by a factor of 2
So, G(x) will be changed to 2G(x)
2) Shift towards Right by 2 units
So, 2G(x) will be changed to 2G(x - 2)
3) Upward shift by 2 units.
So, 2G(x - 2) will be changed to 2G(x - 2) + 2
Thus,
F(x) = 2G(x - 2) + 2
F(x) = 2(x - 2)² + 2
Therefore, option C is the correct answer
Answer:
Step-by-step explanation:
A(-6, 2), B(6,-3) and C(-6, -3)
AB² = (x₂ - x₁)² + (y₂ - y₁)²
= ( 6 -[-6])² + ( -3 -2)²
= ( 6 + 6)² + ( -3 -2)² = 12² + (-5)² = 144 + 25 =169
AB = √169 = 13 units
BC² = ( -6 -6)² + ( -3 - [-3])² = (-6-6)² + (-3 +3)²
= (-12)² + 0 = 144
BC = √144 = 12 unis
CA² = (-6 - [-6])² +(-3-2)² = (-6 + 6)² + ( -3-2)²
= 0 + (-5)² = 25
CA =√25 = 5 units
length of the hypotenuse of a right triangle = 13units
Depending on what type of triangle it is, for a right triangle you would use sin inverse=(opposite/hypotenuse), cos inverse=(adjacent/hypotenuse), or tan inverse=(opposite/adjacent). For any other triangle you would refer to the Law of sines where side a/sine of angle A=side b/sine of angle B and same goes for C
Answer:
The value of x is 4.
Step-by-step explanation:
Given:
In ΔABC
m∠A = 10x+9
m∠B = 34°
m∠C = 97°
To Find:
x= ?
Solution:
Triangle sum property:
In a Triangle sum of the measures of all the angles of a triangle is 180°.
The value of x is 4.
