Answer:
2.39 cm
Step-by-step explanation:
Answer: The equation of the sphere with the center and radius

b) The intersection of this sphere with the y z-plane the x- co-ordinate
is zero(i.e., x = 0 )
Step-by-step explanation:
a) The equation of the sphere having center (h,k,l) and radius r is

Given center of the sphere (3, -9, 3) and radius 5

on simplification , we get solution


Final answer :-

b) The intersection of this sphere with the y z-plane the x- co-ordinate
is zero(i.e., x = 0 )

Answer:
<em>Terry had £780 initially and Faye had £1300</em>
Step-by-step explanation:
<u>System of Equations</u>
We'll call the following variables:
x = Terry's balance in his bank account
y = Faye's balance in her bank account
The initial relation between them is:

Cross-multiplying:
5x = 3y [1]
If Terry put £220 in his account he had x+220 and if Faye withdrew £300 from her account, she had y-300. Both quantities are equal, thus
x + 220 = y - 300
Subtracting 220:
x = y - 520 [2]
Substituting in [1]
5(y - 520) = 3y
Multiplying:
5y - 2600 = 3y
Adding 2600 and subtracting 3y:
2y = 2600
Dividing by 2:
y = 1300
From [2]:
x = 1300 - 520
x = 780
Terry had £780 initially and Faye had £1300
Answer:
12 answer
Step-by-step explanation:
(8x-34)=(5x+2) (correspounding angle)
8x-5x=34+2
3x=36
x=36/3
x=13
Answer:
10 feets
Step-by-step explanation:
Given that:
Road sign shadow (Rs) = 4 feets
Height of man (Hm) = 6
Man shadow (Ms) = 2.4 feets
Height of road sign (Hr) = x
Height of road sign / shadow of road sign = height of man / shadow of man
Hr/Rs = Hm / Ms
x / 4 = 6 / 2.4
Cross multiply :
4*6 = 2.4*x
24 = 2.4x
x = 24 / 2.4
x = 10 feets
Hence, height of road sign = 10 feets