I think it would be 10,200
Answer:
If the x-6 is all under the sqrt, the last answer is right:
6<= x <= infinity
If only x is under the sqrt and - 6 is NOT under the sqrt, then:
0 <= x <= infinity is the correct answer.
Step-by-step explanation:
You can look at the equation and or graph to determine the domain of a function. The domain is all the x's that may go into the equation or all the x's on the graph of the function. Inside of a squareroot symbol the number inside there must be positive. While considering the equation, only x's that keep that inside positive can be used.
For sqrt(x-6), x has to be 6 or bigger.
For sqrt(x) - 6, x has to be 0 or bigger.
Answer: The answer is 284.
Step-by-step explanation:
The area of the garden is an annulus whose,
Outer diameter = 18 ft
Inner diameter = 18 ft - 2*3ft = 12 ft
Therefore,
Outer radius = 18/2 = 9 ft
Inner radius = 12/2 = 6 ft
Area of garden = Area of annulus
Area of garden = π*(9 ft)2 - π * (6 ft)2
Area of garden = 142
Given:
2 flowers are planted per square foot.
Therefore for 142 ft2,
Number of flowers required = 2*142 = 284
The answer is 284.
Answer:
B is the best answer
The question is illustrated with the attached figure.
Required
Determine XY
To solve for XY, we make use of the tan function, which states that:
tan\theta = \frac{Opposite}{Hypotenuse}tanθ=
Hypotenuse
Opposite
In this case:
tan\ 60= \frac{YZ}{XY}tan 60=
XY
YZ
Substitute 4 for YZ
tan\ 60= \frac{4}{XY}tan 60=
XY
4
Make XY the subject
XY= \frac{4}{tan\ 60}XY=
tan 60
4
tan\ 60 =\sqrt 3tan 60=
3
So, the expression becomes:
XY = \frac{4}{\sqrt 3}XY=
3
4
Rationalize:
XY = \frac{4 * \sqrt 3}{\sqrt 3 * \sqrt 3}XY=
3
∗
3
4∗
3
XY = \frac{4\sqrt 3}{3}XY=
3
4
3
Answer:
r = 3, s = -4
Step-by-step explanation:
First, you can find the mid-point of the line. Look at the distance between the x values and the 7 values the dived those numbers by 2.
X the distance between -8 and 6 is 14 units. 14 divided by 2 is 7.
to find the x mid-point either move 7 points from either of the x values you are given. -8 plus 7 units would be -1. 7 points to the left of 6 would also put you at -1.
Y the distrance between -5 and -11 is 6 units. 6 divided by 2 is 3.
move 3 units from either of the y values and you end up at -8
So your mid-point is at ( -1, -8 ). To get the results for r, add 4 to the x value of your mid-point. To get your value for s, divide your y value for the mid-point by 2.
r = 3
s = -4
