Answer:
y =x² + y² + 2y - 35
Step-by-step explanation:
The equation of a circle is given by the formula;
(x-a)²+(x-b)² = r²
Where; (a, b) is the center of the circle and r is the radius
Therefore;
(x-0)² +(y+1) = 6²
x²+ y² +2y + 1= 36
x² + y² + 2y - 35 = 0
Therefore; The equation of the circle is y = x² + y² + 2y - 35
Answer:
Step-by-step explanation:
We can use basic probability to find the probability that this roll is not a factor of 35.
First off, we know that with a six sided die there are 6 possible things we can roll.
1, 2, 3, 4, 5, or 6
Now, what are the factors of 35? The factors of 35 will be any whole number that can be multiplied by another whole number to get 35.
- We know
, so two factors are 1 and 35. - We know
, so two factors are 5 and 7.
Therefore, the factors of 35 are 1, 5, 7, 35.
Both 5 and 7 are inside the range of 1-6. So the probability of rolling a side that's a factor of 35 will be 
since there are two factors and 6 possible options.
This means, logically, there is a 
chance of not rolling a factor of 35.
Hope this helped!
Answer:
Nope! these ratios do not form a proportion
Step-by-step explanation:
if you use a calculator to divide 10/9, you get 1.111 repeating.
if you use a calculator to divide 17/15, you get 1.133 repeating.
<em>since 1.111 does not equal 1.113, </em><em>these ratios are not proportional. </em>
Answer:
- a. E = {1, 2, 3, 4, 5, 6, 7, 8}
- b. A ∩ B = {2, 3}
- c. A ∪ B = {1, 2, 3, 4, 5, 7, 8}
Step-by-step explanation:
Locate the designated space on the diagram and list all the numbers in it.
a. E = {1, 2, 3, 4, 5, 6, 7, 8} . . . . all numbers in the rectangle
__
b. A ∩ B = {2, 3} . . . . where the circles overlap
__
c. A ∪ B = {1, 2, 3, 4, 5, 7, 8} . . . . only 6 is outside the circles
False because the sentence can be completed well without adjective too
