Answer:
g(x) is obtained by shift the function f(x) down 7 units by subtracting 7 units from f(x).
Step-by-step explanation:
We are given that
We have to identify the transformation that occurs to create the graph of g(x).
To identify the transformation that occurs to create the graph of g(x)
We will subtract the 7 from f(x).
Let f(x) be any function
It means g(x) obtained by shift the function f(x) down k units by subtracting k units from f(x).
Therefore, g(x) is obtained by shift the function f(x) down 7 units by subtracting 7 units from f(x).
Answer:
55.96 miles
Step-by-step explanation:
Distance = Speed X time
Car first moved east for 1 hr , distance = 40 x 1 = 40 miles
Car then moved north-east for 30 min, distance = 40 x 0.5 = 20 miles
From trigonometry,
sin 45 = ; y = 20 sin 45 ; y= 14.14 miles
cos 45 = ; x = 20 cos 45 ; x = 14.14 miles
using Pythagoras theorem;
=
+
= +
= 3131.08
=
z = 55.96 miles
Answer:
1) False, to begin converting the equation to standard form, each side must be added by 36. 2) True, to complete the square for the x terms, add 4 to both sides, 3) True, the center of the circle is at (-2, 3), 4) False, the center of the circle is at (-2, 3), 5) False, the radius of the circle is 7 units, 6) False, the radius of the circle is 7 units.
Step-by-step explanation:
Let prove the validity of each choice:
1) To begin converting the equation to standard form, subtract 36 from both sides:
Let consider the following formula and perform the following algebraic operations:
(i) Given
(ii) Commutative Property
(iii) Modulative/Associative Property/Additive Inverse Existence
(iv) Perfect Trinomial Square
(v) Commutative Property/Compatibility with Addition/Additive Inverse Existence/Modulative Property
(vi) Definition of Addition/Result
False, to begin converting the equation to standard form, each side must be added by 36.
2) True, step (iii) on exercise 1) indicates that both side must be added by 4.
3) The general equation for a circle centered at (h, k) is of the form:
Where is the radius of the circle.
By direct comparison, it is evident that circle is centered at (-2,3).
True, step (vi) on exercise 1) indicates that center of the circle is at (-2, 3).
4) False, step (vi) on exercise 1) indicates that the center of the circle is at (-2, 3), not in (4, -6).
5) After comparing both formulas, it is evident that radius of the circle is 7 units.
False, the radius of the circle is 7 units.
6) After comparing both formulas, it is evident that radius of the circle is 7 units.
False, the radius of the circle is 7 units.