Answer:
a) The center coordinates O is (0,0)
b) The radius C = 15
Step-by-step explanation:
The given equation of the circle is : 
Now, general form of the equation of the circle is:
where (h,k) are the center co -ordinates and r is the radius of the circle.
Comparing the general equation with the given equation, we get
So, here the center coordinates (h,k) = (0,0)
And the radius of the given circle is r = 15
Answer:
x ≈ 3.9
Step-by-step explanation:
Call the segment shared by the two triangle "y". The Pythagorean theorem tells you ...
sum of squares of sides = square of hypotenuse
y² +6² = 10²
x² +7² = y²
Substituting for y² using the second equation, we get ...
x² +7² +6² = 10²
x² = 10² -7² -6² = 100 -49 -36 = 15
Taking the square root, we find ...
x = √15 ≈ 3.9
Answer:
19km
Step-by-step explanation:
190km divided by 10hr = 19km per 1hr
Answer:
7
Step-by-step explanation:
→ Substitute x = -1 into - 5x + 2
-5 × -1 = 5
5 + 2 = 7
X + y = 20 --> eqn 1
The second equation would be the mass balance shown below:
(x)(0.40) + y(0.70) = 20(0.52) --> eqn 2
Rearranging eqn 1,x = 20 - ySubstitute this to eqn 2:
(20 - y)(0.40) + y(0.70) = 20(0.52)Solve for y,y = 8 grams Finally, solve for x.x = 20 - 8 = 12 grams
Therefore, Serena needs 12 grams of the 40% solution and 8 grams of the 70% solution.
