Answer: the value of | 2x + y | = 1.39
the direction of 2x + y = 21°
Step-by-step explanation:
Given that the vectors x and y are unit vectors that make and angle of 30 degrees with each other.
Let assume that unit vector x is along the positive x-axis, and unit vector y is at +30°.
Therefore
2x-y=
2< 1,0 > - < cos(30),sin(30) >
=<2-(√2)/2, 0-1/2>
and
|2x-y|=√((2-(√2)/2)² + (-1/2)^2)
=1.3862
Therefore the value of | 2x + y | = 1.39
=atan((-1/2)÷(2-(√2)/2))
=atan(1.29289/-0.5)
=-0.369 radians
= -21.143°
Therefore the direction of 2x + y is
21°
Given that the insurance pays 80% of the cost of surgery and the surgery cost $9600, the amount of money Vivian will pay will be given as follows:
20/100×9600
=$1960
since she will cater for the deductibles that amount to $500 before the insurance takes over, then the total amount she will have to pay will be:
1960+500
=$2420
The answer is 4:4 it takes 4 of each
Answer:
(8y+8)²+(4x²+16)=0
Step-by-step explanation:
Given:
(64y²)+(4x²)+128y+16x+64=0
Find:
Equation into the appropriate form
Computation:
(64y²)+(4x²)+128y+16x+64=0
(8y)²+(2x)²+128y+16x+64=0
(8y)²+(2x)²+2(8y)(8)+2(2x)(4) + 8²=0
(8y+8)²+(4x²+16)=0
Based on the shipping rate and the price of the t-shirts, it can be concluded Sam ordered a total of 6 t-shirts.
<h3>What equation represents Sam's situation?</h3>
5.99 + x12.50 = 80.99
x represents the number of t-shirts she bough, which is the focus of the equation.
Let's solve it:
- 5.99 + x12.50 = 80.99
- x12.50 = 80.99 - 5.99
- x12.50 = 75
- x = 75 / 12.50
- x = 6
<h3>How many t-shirts did Sam order?</h3>
Sam ordered 6 t-shirts.
Learn more about equations in: brainly.com/question/10413253
