Answer:
x = -3 +/- square root(22)
Step-by-step explanation:
x = -b +/- square root(b^2 - 4ac) / 2a
ax^2 + bx + c = 0
these are both the quadratic formula but one is solved for the x and another for 0
a= 1
b= 6
c = -13
x= -6 +/- square root( 6^2 - 4(1)(13)) / 2(1)
x = -6 +/- sqrt( 36 + 52) / 2
x= -6 +/- sqrt (88) / 2
sqrt of 88 = 2 x sqrt (22)
divide 2 on each
x= -3 +/- sqrt (22)
Answer:
113.04 cm³
Step-by-step explanation:
diameter = 6cm
so radius = 3cm
Volume of sphere = 

= 4 * 3.14 * 3 * 3 *3 / 3
= 4 * 28.26
= 113.04 cm³
Answer:
x=26
Step-by-step explanation:
by definition of alternate exterior angle rule 8x -71 = 5x +7
What you want to do is get your X's on one side I recommend subtracting 5x so that you don't have to deal with negative values.
8x-5x-71=5x-5x+7
3x-71=7
add 71 to both sides the goal now is trying to get by itself
3x-71+71=7+71
3x=78
now divide both sides by 3
3x/3=78/3
x=26
Answer:
Another way to name <UST is
<TSU
If and only if it is a proportional relationship, the problem can be solved by creating a proportion of B1/T1=B2/T2. This can also be expressed as 4.5/3.5=5.4/x given the values. You must cross multiply, so 4.5x=3.5(5.4). This simplifies to x=4.2. So, the tail length would be 4.2 feet.
Hope this helps.