Answer:
Step-by-step explanation:
Give the expression ax – c = bx + d, we are isolate x i.e we are to make x the subject of the formula.
ax – c = bx + d
Step 1: subtract bx from both sides
ax – c = bx + d
ax-bx = d+c
Step 2: Factor out x in the left hand side of the resulting expression
x(a-b) = d+c
Step 3: Divide both sides by the coefficient of i.e (a-b)
Hence Victoria can justify the step 3 of her work by dividing both sides of the expression in 2 by a-b
Let's assume
Raj's age is x years
Zia's age is y years
we are given
Raj is three years older than zia
so, we get
now, we can solve for y
the sum of the squares of their ages is 369
so, we get
now, we can plug back y
now, we can solve for x
Since, age can not be negative
so, we will only consider positive
now, we can find y-value
So,
Raj's age is 15 years
Zia's age is 12 years...........Answer
Answer: 2 yards
Step-by-step explanation: there are 36 inches in a yard so divide 72 by 36 to get 2 which is the answer to the question
hope this helps mark me brainliest if you can
Answer:
see below
Step-by-step explanation: 5 27 7 16
area = 1/2 bh
height of a triangle is 7 ft more than its base
base = b
height = b + 7
area = 30
area = 1/2 b(h)
30 = 1/2 b(b + 7)
30 = 0.5(b²+ 7b)
30 = 1/2 b²+ 3.5b solve for b
1/2 b²+ 3.5b = 30
1/2 b²+ 3.5b - 30 = 0
b²+ 7b - 60 = 0 factor
(b +12)(b - 5) = 0 when b = -12 or 5 base length can't be negative
b = base = 5
area = 1/2 bh 1/2×2(9) = 9
area = 1/2 bh 1/2×5(12) = 60
area = 1/2 bh 1/2×9(16) = 56
area = 1/2 bh 1/2×12(19) = 114
I calculated and got 314.16
