Answer:
x = 11
Step-by-step explanation:
The given angles are corresponding angles and are congruent, then
12x - 9 = 10x + 13 ( subtract 10x from both sides )
2x - 9 = 13 ( add 9 to both sides )
2x = 22 ( divide both sides by 2 )
x = 11
The formula for the linear function which is passing the points (0, 5) and (1, 20) is f(x) = 15x + 5.
According to the given question.
The linear form of the function is
f(x) = mx + b
Also, the function is passing through the points (0, 5) and (1, 20).
So, the given points (0, 5) and (1, 20) must satisfy f(x) = mx + b.
Now,
At (0, 5)
f(0) = m(0) + b
⇒ 5 = 0 + b
⇒ b = 5 ..(i)
Also,
at (1, 20)
f(1) = m(1) + b
⇒ 20 = m + 5 (from i)
⇒ m = 20 - 5
⇒ m = 15
Therefore, the formula for the linear function which is passing the points (0, 5) and (1, 20) is given by
f(x) = 15(x) + 5 (on substituting the vale of m and b in f(x) = mx + b).
⇒ f(x) = 15x + 5
Hemce, the formula of the function is f(x) = 15x + 5.
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The value of the integral 3ydx+2xdy using Green's theorem be - xy
The value of be -xy
<h3>What is Green's theorem?</h3>
Green's theorem relates a line integral around a simple closed curve C to a double integral over the plane region D bounded by C.
If M and N are functions of (x, y) defined on an open region containing D and having continuous partial derivatives there, then
=
Using green's theorem, we have
= ............................... (1)
Here = differentiation of function N w.r.t. x
= differentiation of function M w.r.t. y
Given function is: 3ydx + 2xdy
On comparing with equation (1), we get
M = 3y, N = 2x
Now, =
=
= 2
and, =
=
= 3
Now using Green's theorem
=
=
=
=
The value of be -xy.
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Answer:
Answer B 11m
Step-by-step explanation:
Answer: $1.50
Step-by-step explanation:
Cost price of watermelon = $1.25
Profit percent = 20%
Profit = Profit percent × Cost price
= 20% × $1.25
= 20/100 × $1.25
= 0.2 × $1.25
= $0.25
Selling price = Cost price + Profit
Selling price = $1.25 + $0.25
Selling price = $1.50
They should charge $1.50 for the watermelons