Answer:
The answer is 8.5=(x-2.5)^2+(y-3)^2+(z-4.5)^2
Step-by-step explanation:
First we need to find diameter of the sphere. The distance point A and point B is:
d/2=r=2.92
radius of the sphere is 2.92 units
and the center of the sphere is:
C=((4+1)/2,(3+3)/2,(7+2)/2)
C=(2.5,3,4.5)
We can write the equation of the sphere as:
Answer:
The correct answer is option B. 17
Step-by-step explanation:
It is given that, ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°
<u>To find the value of m</u>
From the figure we can see that, triangle WYZ is an isosceles triangle.
ZW = ZY
Then <YXZ = <WXZ = 90°
It is given ∠YXZ = (6m – 12)°
(6m – 12)° = 90°
6m = 90 + 12 = 102
m = 102/6 = 17
Therefore the value of m = 17
The correct answer is option B. 17
4 + 5z = 5z + 4 is an identity and is true for all values of z.
The equation has, therefore, infinitely many solutions.
Well u have a basic equation y=a • b^x
a is the initial amount
b is the growth factor
and x is the exponent
the first step is to make a chart with ur two points for example
(0,4) and (2,16)
so ur chart will be
x. | y.
0. | 4
2. | 16
next you find the difference between the x side so 0 to 2 is +2
then find the difference between the y side so 4 to 16 is +12
then put it into a fraction with y over x or y/x so 12/2 then simplified 6/1 or just 6.
6 is the growth factor
and to find a u have to go on the y column and find the first number so
a is 4
x is still x because it's 0 but if it was 2 then it would be x-2 so it can cancel
so the answer would be y=4 • 6^x
<h3>
Answer: 1/8</h3>
Explanation:
Pick any term and subtract off the previous term to get the common difference.
So,
13/40 - 1/5 = 13/40 - 8/40 = (13-8)/40 = 5/40 = 1/8
Or
9/20 - 13/40 = 18/40 - 13/40 = (18-13)/40 = 5/40 = 1/8
The positive common difference value indicates this arithmetic sequence is increasing.
