<span>Given the two end of the diameter of the circle, we are able to compute the center of the circle as 0.5*[(-1,3)+(7,-7)]=(3,-2). The radius of the circle is 0.5*sqrt[(-1-7)^2+(3+7)^2]=sqrt(41). Therefore the equation of the circle is (x-3)^2+(y+2)^2=41.</span>
Answer:
x > 7/3
Step-by-step explanation:
Distribute by 8 first
4x - 2 > 12 - 2x
6x - 2 > 12
6x > 14
x > 14/6. or x > 7/3
Answer:
Step-by-step explanation:
<u>Use trigonometry to help</u>
- cos = adjacent side/hypotenuse
- hypotenuse = adjacent side / cos
<u>Substitute values:</u>
- Distance between the Sun and the Moon = y / cos x
Answer:
The value of
is -16.
Step-by-step explanation:
We need to evaluate
for x = -1, y = 5 and let us assume that z = 1
It can be simply done by putting the values of x,y and z in the given expression.

We know that the value of 4² = 16
So,

So, the value of
is -16.
Yes, they can be added and simplified further. 2√3 + 5√3 = 7√3 .
Take √3 as common factor:
2√3 + 5√3
(2 + 5)√3
7√3
The two irrational numbers sums to form another irrational number 7√3 . In decimals that is 12.12435...