Distance formula: SR (A^2+B^2)
SR [(2+9i)^2 + (2-4i)^2] =
SR [4 + 18i + 81i^2 + 4 - 8i + 16i^2] =
SR [8 + 10i + 97i^2]
Answer with explanation:
The given trigonometric Function is,
y= cos x
→The maximum value of , cos x , is 1, at x=0 degree.
Cos x =1
→Cos x = Cos (0)degree,
→ for, k= An Integer
x=2 k π→→General formula that gives the x-coordinates of the maximum values for y = cos(x)
Ordered Pair =(x,y)=(2 k π, 1)
For, any value of , k in the given equation, y will be always 1.
Answer:
a=2 b=3 c= 180 d=180 is sns
Answer:
A(max) = (9/2)*L² ft²
Dimensions:
x = 3*L feet
y = (3/2)*L ft
Step-by-step explanation:
Let call "x" and " y " sides of the rectangle. The side x is parallel to the wall of the house then
Area of the rectangle is
A(r) = x*y
And total length of fence available is 6*L f , and we will use the wall as one x side then, perimeter of the rectangle which is 2x + 2y becomes x + 2*y
Then
6*L = x + 2* y ⇒ y = ( 6*L - x ) /2
And the area as function of x is
A(x) = x* ( 6*L - x )/2
A(x) = ( 6*L*x - x² ) /2
Taking derivatives on both sides of the equation we get:
A´(x) = 1/2 ( 6*L - 2*x )
A´(x) = 0 ⇒ 1/2( 6*L - 2*x ) = 0
6*L - 2*x = 0
-2*x = - 6*L
x = 3*L feet
And
y = ( 6*L - x ) /2 ⇒ y = ( 6*L - 3*L )/ 2
y = ( 3/2)*L feet
And area maximum is:
A(max) = 3*L * 3/2*L
A(max) = (9/2)*L² f²
Answer:
<u>Option B</u>
Step-by-step explanation:
The question is as following:
Step Work Justification
1 2x + 6x − 4 = 12
2 8x − 4 = 12
3 8x = 16
4 x = 2
Which of the following has all of the correct justifications Wyatt used to solve this equation?
A. Distributive property. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.
B. Multiplication property of equality. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.
C. Distributive property. 2. Combine like terms. 3. Subtraction property of equality. 4. Division property of equality.
D. Multiplication property of equality. 2. Combine like terms. 3. Subtraction property of equality. 4. Division property of equality
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<u>The answer:</u>
Step Work Justification
multiply both sides by 2
1) 2x + 6x − 4 = 12 ⇒ {Multiplication property of equality}
{Combine like terms}
2) 8x − 4 = 12 ⇒
Adding 4 both sides
3) 8x = 16 ⇒ {Addition property of equality}
divide both sides by 8
4) x = 2 ⇒ {Division property of equality}
The answer is option B
(B) Multiplication property of equality. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.