Answer:
r = 3.
Step-by-step explanation:
16 = 10 + √(3r + 27)
√(3r + 27) = 6
Square both sides:
3r + 27 = 36
3r = 36 - 27 = 9
r = 3.
Check the result:
Left side of the equation = 16
Right side = 10 + √(9 + 27)
= 10 + √36 = 16
Answer:
Step-by-step explanation:
4x + 4 - 3
= 4x + 1
Yes they both are equivalent because the algebraic expression is same
Answer:
The percentage increase in Jayana's postcard collection is 15%
Step-by-step explanation:
Jayana had 20 postcards last year
With 3 more postcards this year
From the given equation Quantity = Percent x Whole
Here;
Let P = Percent/100%
Quantity = Increment in postcard = 3 postcards
Whole = The total postcards from last year = 20 postcards
Hence,
3 postcards = P x 20 postcards
P = 3/20 = 0.15
Recall P = Percent/100%
∴ Percent = P x 100% = 0.15 x 100% = 15%
The percentage increase in Jayana's postcard collection is 15%
Step-by-step explanation:
The standard equation of a circle is 
Center = (h, k)
#1
Center = (0,2)
h = 0
k = 2
r = 5
#2
Center = (-4,-5)
h = -4
k = -5
r = 
#3
Center =(-1,3)
h = -1
k = 3
r = 8
#4
Center: (9,0)
h = 9
k = 0
r = 
