The given points are (4,8) & (9,-4)
slope of a line = <u>Y2 - Y1</u>
X2 - X1
====> <u>(-4) - 8</u> = <u>-12</u>
9 - 4 5
Answer:
Ok
A. 33x - 14
B. 18x - 10
C. a - 20
D. 40a + 5
E. 5n - 24
F. - 16n + 37
G. -7x + 12
H. 15x + 28
I. - 7a +24
J. 13a - 27
K. -48n - 16
J. - 12n + 35
Well hope all this helps :)
Step-by-step explanation:
Answer:
V(x,y,z) ≈ 61.2 in
Step-by-step explanation:
for the function f
f(X)=x³
then the volume will be
V(x,y,z)= f(X+h) - f(X) , where h= 0.2 (thickness)
doing a Taylor series approximation to f(x+h) from f(x)
f(X+h) - f(X) = ∑fⁿ(X)*(X-h)ⁿ/n!
that can be approximated through the first term and second
f(X+h) - f(X) ≈ f'(x)*(-h)+f''(x)*(-h)²/2 = 3*x²*(-h)+6*x*(-h)²/2
since x=L=10 in (cube)
f(X+h) - f(X) ≈ 3*x²*(-h)+6*x*(-h)²/2 = 3*L²*h+6*L*h²/2 = 3*L*h*(h+L)
then
f(X+h) - f(X) ≈ 3*L*h*(h+L) = 3* 10 in * 0.2 in * ( 0.2 in + 10 in ) = 61.2 in
then
V(x,y,z) ≈ 61.2 in
V real = (10.2 in)³-(10 in)³ = 61 in
Answer:
71.3°
Step-by-step explanation:
A building 62 feet tall casts a shadow 21 meters long . At what angle is the sun shining on the building?
We solve this question using the Trigonometric function of Tangent
tan x = Opposite/Adjacent
Where
Opposite = 62ft
Adjacent = 21 ft
x = Angle
Hence,
tan x = 62/21
x = arc tan (62/21)
x = 71.288262125°
Approximately = 71.3°
Answer:
4x-2y =42 is the required equation
Step-by-step explanation:
given equation is,
4x-2y -7=0---------eqn1
parallel equation of given equation is
4x -2y+k =0-------eqn 2
now passing it through (9,-3), we get,
4×9 + 2×3 +k = 0
or,36+6+k =0
or,42+k =0
or, k= -42
putting the value of k in eqn2
4x-2y - 42=0
4x-2y = 42
