First, we must solve for the radius of the sphere:
V=
r=(3
)
r=(3*
)
r≈5.99
Second, we must solve for surface area:
A=4
A=4*
*
A≈450.88
No solutions
Explanation: Any number you use, the equation of x + 7 will always be 2 more than x + 5
Answer:
9·x² - 36·x = 4·y² + 24·y + 36 in standard form is;
(x - 2)²/2² - (y + 3)²/3² = 1
Step-by-step explanation:
The standard form of a hyperbola is given as follows;
(x - h)²/a² - (y - k)²/b² = 1 or (y - k)²/b² - (x - h)²/a² = 1
The given equation is presented as follows;
9·x² - 36·x = 4·y² + 24·y + 36
By completing the square, we get;
(3·x - 6)·(3·x - 6) - 36 = (2·y + 6)·(2·y + 6)
(3·x - 6)² - 36 = (2·y + 6)²
(3·x - 6)² - (2·y + 6)² = 36
(3·x - 6)²/36 - (2·y + 6)²/36 = 36/36 = 1
(3·x - 6)²/6² - (2·y + 6)²/6² = 1
3²·(x - 2)²/6² - 2²·(y + 3)²/6² = 1
(x - 2)²/2² - (y + 3)²/3² = 1
The equation of the hyperbola is (x - 2)²/2² - (y + 3)²/3² = 1.
The total of the faces touching the ground is 15.
<h3 /><h3>What is probability?</h3>
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
Given that:
Four usual dice are thrown
Total of numbers on the top faces of these four dice = 13
we know that in a dice, the sum of the numbers on any two opposite faces is always 7.
So,1 is opposite 6,
2 is opposite 5
and 3 is opposite 4.
Now, when 4,3,1 and 5 are the numbers on the top faces, then 3,4,6 and 2 respectively are the numbers on the face touching the ground as they sum upto 7.
Hence, total o faces touching the ground =3+4+6+2=15.
Learn more about probability here:
brainly.com/question/28203837
#SPJ4
Answer:
x=3
Step-by-step explanation:
A vertical line will have the equation in terms of x. Any point you choose on line <em>l </em>will have an x-coordinate of 3.
