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What is the equation of the line that passes through (-3, 6) and has a slope of -2?
First, we need to write the equation of the line in point-slope form:-
Replace y1 with 6, m with -2, and x1 with -3:-
On simplification,
On further simplification,
Add 6 on both sides:-
<h3>Good luck with your studies.</h3>
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Answer:
A. Different volumes of water are moved different distances.
Step-by-step explanation:
Integration is used to find work required to pump water out of a tank because different volumes of water are moved different distances and to sum it all we the tool required is integration. Moreover, work done is a path function or an inexact differential. It does depend upon the path followed by the process.
hence the correct answer is A.
Remember that the vertex form of a parabola or quadratic equation is:
y=a(x-h)^2+k, where (h,k) is the "vertex" which is the maximum or minimum point of the parabola (and a is half the acceleration of the of the function, but that is maybe too much :P)
In this case we are given that the vertex is (1,1) so we have:
y=a(x-1)^2+1, and then we are told that there is a point (0,-3) so we can say:
-3=a(0-1)^2+1
-3=a+1
-4=a so our complete equation in vertex form is:
y=-4(x-1)^2+1
Now you wish to know where the x-intercepts are. x-intercepts are when the graph touches the x-axis, ie, when y=0 so
0=-4(x-1)^2+1 add 4(x-1)^2 to both sides
4(x-1)^2=1 divide both sides by 4
(x-1)^2=1/4 take the square root of both sides
x-1=±√(1/4) which is equal to
x-1=±1/2 add 1 to both sides
x=1±1/2
So x=0.5 and 1.5, thus the x-intercept points are:
(0.5, 0) and (1.5, 0) or if you like fractions:
(1/2, 0) and (3/2, 0) :P
Answer:
a. 2*-2*3=-12
b. -2*3*5 = -30
c. (-2)^2+2*5= 14
d. 2*-2+3*3-5*5= -20
e. -2(3-5) = 4
f. 3*5-(-2)*5+(-2)*3 = 19
if it helped then plz mark me as brainliest
Answer:
-80
Step-by-step explanation:
plug in 8 to the equation
8 - 11 (8)
multiply 8 and 11 first: 8 - 88
add 8 to -88: -80
