The ratio is common, so you could write:
a1 * r^4 = a^5 (you do r^4 because there are 4 times you need to multiply by the ratio to get from a1 to a5)
Plug in the values:
3 * r^4 = 48
Divide by 3:
r^4 = 16
Take the fourth root of both sides:
r = 2
The common ratio is 2.
Step-by-step explanation:
For the quadratic equation to have 1 repeated real solution, the discriminant b² - 4ac must be zero.
=> (-z)² - 4(z - 5)(5) = 0
=> z² - 20(z - 5) = 0
=> z² - 20z + 100 = 0
=> (z - 10)² = 0
Therefore z = 10.
Answer:
Trapezoid
Step-by-step explanation:
The points are shown in the attached graph.
<em>You can clearly see from the picture that it is a "Trapezoid".</em>
<em />
<em>Trapezoid</em><em> is basically a quadrilateral (4 sided-figure) that has 1/2 pair of parallel sides.</em>
<em>On the other hand, a </em><em>parallelogram</em><em> has 2 pair of parallel sides.</em>
<em />
Thus, a parallelogram is a special type of trapezoid where there are 2 pair of parallel sides. But trapezoid need not be a parallelogram.
<em>The picture shows 1 pair of parallel sides, hence it is a </em><em>trapezoid.</em>
Answer:
.89/8=.11
2.39/32=.07
Step-by-step explanation:
.89/8=.11
2.39/32=.07
29-11=18
18²+18²=p²
324+324=p²
p²=648
p=18√2
That's your answer.