Answer:
u= 2.5
Step-by-step explanation:
Using BIDMAS
Step 1: Expand the bracket
9(u-2) + 1.5u=8.25
9u-18+1.5u=8.25
Step 2: collect like terms
9u+1.5u=8.25+18
10.5u=26.25
Step 3: Divide both sides by 10.5 to get u
u=
= 2.5
Answer:
x = 7
Step-by-step explanation:
since we know y = 4, we can plug this into the equation to find x
8x - 2y = 48
8x - 2(4) = 48
8x - 8 = 48
8x = 56
x = 7
, .
........................................
Answer:
5 units
Step-by-step explanation:
If DG, EG and FG are perpendicular bisectors of the sides of triangle ABC, then point G is the circumcenter of the triangle ABC and
BG = AG = CG as radii of the circumcirle.
Consider right triangle BEG. By the Pythagorean theorem,

This gives us that
AG = BG = 5 units
<span>Given that the orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula P = a^(3/2).
If Saturn’s orbital period is 29.5 years, then
29.5 = a^(3/2)
a = (29.5)^(2/3) = 9.547
Therefore, Saturn's distance from the sun is 9.547 astronomical units.</span>