Answer:
y = 1/3x + 1
Step-by-step explanation:
Answer:
infinite solutions.......
<span>D. p = fraction H over the quantity 3 times w + a</span>
(i) 175
(ii) option A - the average age of the trees in the forest
Step-by-step explanation:
Step 1 :
Cross sectional area of a cylindrical can = π * r² = π * 5² = 25π sq inches [Given radius = 5 inches ]
Step 2 :
Given rectangular prism has the same cross-sectional area, the cross sectional area of the prism = 25π sq inches
Given the height of the rectangular prism is same as that of the cylindrical can, the height of the prism is also 7 inches.
Step 3 :
Volume of the prism = Cross sectional area * height
= 25π * 7 [from step 1 and 2]
= 175
Second question
Step 1 :
The volume of wood that can be expected is equal to the volume of an average tree * the average number of trees per acre * number of acres.
The volume of the tree is determined by the dimensions of the tree .
We know that The volume of the tree does not depend on the age of the tree.
Hence the answer is option A - average age of the trees in the forest
Answer:
The real number 'a' = 32
The real number 'b' = 0
Step-by-step explanation:
Product of a number of a number and its conjugate = a + bi
The number is = -4 + 4i
Conjugate of this number is = -4 - 4i
Product of the number and it's conjugate
= (-4 + 4i)(-4 - 4i)
= -4(-4 - 4i) + 4i(-4 - 4i) [By distributive property]
= 16 + 16i - 16i - 16i²
= 16 - 16(-1)
= 16 + 16
= 32
a + bi = 32 + (0)i
By comparing both the sides,
a = 32
b = 0