Answer:
x= 1
QS = 10 cm
QRS = 40cm
Step-by-step explanation:
4x + 1 = 5x
x= 1 cm
QS = 4x + 1 + 5x
= 9x + 1
= 9 + 1
= 10cm
QRS perimeter
QS + RQ + RS but ( RQ = RS)
= 10 + 15 + 15
= 40cm
Standardized z score for the act result = (30 - 21.5) / 5.4 = 1.574
so for the sat ressult we have 1.574 = (X - 1498) / 316
X = 316 * 1.574 + 1498 = 1995 answer
Answer:
Hence, the equation of a sphere with one of its diameters with endpoints (-9, -12, -6) and (11, 8, 14) is
.
Step-by-step explanation:
There are two kew parameters for a sphere: Center (
,
,
) and Radius (
). The radius is the midpoint of the line segment between endpoints. That is:


The radius can be found by halving the length of diameter, which can be determined by knowning location of endpoints and using Pythagorean Theorem:


The general formula of a sphere centered at (h, k, s) and with a radius r is:

Hence, the equation of a sphere with one of its diameters with endpoints (-9, -12, -6) and (11, 8, 14) is
.