Answer:
The Domain should be (10,+infinity) as x>10
Step-by-step explanation:
Answer: (2α) = cos²(α) - sin²(α)
Step-by-step explanation:
The expression for cosine of the sum of two angles is:
cos (α + β) = cos(α)*cos(β) - sin(α)*sin(β)
in case α = β
cos ( α + α ) = cos (2α) = cos(α)*cos(α) - sin(α)*cos(α)
Hence cos (2α) = cos²(α) - sin²(α)
Answer: 27/34
Step-by-step explanation:
7 + 12 + 6 + 9 = 34
Minus 7 (red)
= 27
Answer:
the base of the tree from a stake anchoring the wire is 18.7 ft long
Step-by-step explanation:
A guy wire for a tree is 20 ft. long, making a 21 degree angle with the ground.
It forms a right angle triangle. the hypotenuse of the triangle is 20 ft
The adjacent side of the given angle 21 degree is the base of the tree from a stake
Let x be the base length
the base of the tree from a stake anchoring the wire is 18.7 ft long
Answer:
k = 13
smallest zero = -6
Step-by-step explanation:
f(x) is basically the function of x.
x could be any integer. f(x) is the solution of the function of x.
f(x) is defined as x² + 3x - 10
f(x) = x² + 3x - 10
Now, f(x+5) = x² + kx + 30
This statement here says that if the value of x is x+5, then the answer would be x² + kx + 30.
f(x) = x² + 3x - 10
f(x+5) = (x+5)² + 3(x+5) - 10
f(x+5) = x² + 10x + 25 + 3x + 15 - 10
f(x+5) = x² + 13x + 40 - 10
f(x+5) = x² + 13x + 30
x² + 13x + 30 = x² + kx + 30
hence, k = 13
Smallest zero = The smallest x value.
f(x+5) = x² + 13x + 30
Let's take f(x+5) = 0
x² + 13x + 30 = 0
which two numbers products give us 30 and add up to 13?
== 6 and 5
(x+6)(x+5) = 0
x+6 = 0
x = -6
x+5 = 0
x = -5
The two solutions are -6 and -5
The smallest out of these two is -6.
