Answer:
<h3>Y=1/3x+3</h3>
Step-by-step explanation:
To solve this problem, first, you have to use the slope formula of y₂-y₁/x₂-x₁=rise/run. Remember to solve this problem, use slope-intercept form of y=mx+b.
m represents the slope.
b represents the y-intercept.
Y₂=4
Y₁=1
X₂=3
X₁=(-6)
Solve & simplify.
The slope is 1/3.
Y-intercept is 3.
y=1/3x+3
In conclusion, the correct answer is y=1/3x+3.
Answer:
Step-by-step explanation:
The binomials are multiplied in the usual way, using FOIL or the distributive property:
(5 -2i)(3 -4i) = 15 -20i -6i +8i²
Since i² = -1, this becomes ...
= 15 -20i -6i -8 = 7 -26i
Answer:
a = 2, b = -9, c = 3
Step-by-step explanation:
Replacing x, y values of the points in the equation y = a*x^2 + b*x +c give the following:
(-1,14)
14 = a*(-1)^2 + b*(-1) + c
(2,-7)
-7 = a*2^2 + b*2 + c
(5, 8)
8 = a*5^2 + b*5 + c
Rearranging:
a - b + c = 14
4*a + 2*b + c = -7
25*a + 5*b + c = 8
This is a linear system of equations with 3 equations and 3 unknows. In matrix notation the system is A*x = b whith:
A =
1 -1 1
4 2 1
25 5 1
x =
a
b
c
b =
14
-7
8
Solving A*x = b gives x = Inv(A)*b, where Inv(A) is the inverse matrix of A. From calculation software (I used Excel) you get:
inv(A) =
0.055555556 -0.111111111 0.055555556
-0.388888889 0.444444444 -0.055555556
0.555555556 0.555555556 -0.111111111
inv(A)*b
2
-9
3
So, a = 2, b = -9, c = 3
Answer:
you got this
Step-by-step explanation:
goodluck
Answer:
Solution given:
radius [r]=4
height [h]=5
we have
Surface area of cylinder=2πr(r+h)
=2π×4(4+5)
=<u>72πunits³ is a required volume.</u>
