Answer:
(x) =
Step-by-step explanation:
Given
y = x + 5
Rearrange making x the subject
Multiply through by 3 to clear the fraction
3y = 2x + 15 ( subtract 15 from both sides )
3y - 15 = 2x ( divide both sides by 2 )
= x
Replace x by (x) and y by x, thus
(x) =
Answer:
y = 4x-13
Step-by-step explanation:
The standard equation of the line is y = mx+c
m is the slope
c is the intercept
Given the equation y = 4x+2
The slope m = 4
Substitute m = 4 and the given point into the formula y = mx+c
1 = 4(4)+c
1 = 14+c
c = -13
Get the equation
Recall that y = mx+c
y = 4x + (-13)
y = 4x-13
Hence the required equation is y = 4x-13
Answer:
z^2/(x^3y)
Step-by-step explanation:
We assume you want to simplify ...
_____
<em>Comment on the given expression</em>
What you have written is ...
(x^-2y^0z^2/x)y = yz^2/x^3
The order of operations requires that division and multiplication be done in the order of appearance, so a/xy means (a/x)y unless you put parentheses on the denominator product. Typesetting the expression lets you use the fraction bar for grouping, so parentheses are not needed when that form is used.
Answer:
Step-by-step explanation:
Firstly, let find some some other trig functions. We need to know all sides to know other trig functions. We know the horizontal side is -7 because it x-axis is at -7, it y-axis is at 24. so it vertical side is 24. Then we use the pythagorean theorem to find r
49+576=
525=c^2
So since we know that x= -7, y=24, r= 5 times sqr root of 21. We can find some trig functions. We can use function cosine here. Cosine equals
cos=
then we find secant which is the reciprocal of cos so we flip the numbers and that equals
Answer:
the ingegral I=π/4
Step-by-step explanation:
From the integral
I=∫0-1∫0-sqrt(1-y^2) (x^2 + y^2) dxdy
from polar coordinates
r²=x² + y²
then for r=1
√(1- y²) = x
for y=1 → x=0 , for y=0 → x=1
then the integration area is a hemisphere or radius r=1
therefore
I= ∫0-1∫0-sqrt(1-y^2) (x^2 + y^2) dxdy = (1/2)∫2π-0 ∫1-0 r² *r drdθ ( the additional r is due to the Jacobian of the transformation to polar coordinates , 1/2 because is an hemisphere so it would be the half of the value of the total sphere)
I= (1/2)∫2π-0 ∫1-0 r³drdθ = (1/2)∫2π-0 (1⁴/4 - 0⁴/4) dθ = (1/2)∫2π-0 (1/4)*dθ = (1/2)*(1/4)*2π = π/4