Area of a circle is:
A = (3.14)r^2
The picture shown is that the radius is 4
So,
A = (3.14)4^2
A = 50.2
~
Answer:
Step-by-step explanation:
2 4/5 kg” would equal as a whole number 14/5 kgs, or 2.8, divided by 3/4’s would be 2.1 kgs.
As a mixed number there would be 2 1/10’s.
2 1/10.
Given plane Π : f(x,y,z) = 4x+3y-z = -1
Need to find point P on Π that is closest to the origin O=(0,0,0).
Solution:
First step: check if O is on the plane Π : f(0,0,0)=0 ≠ -1 => O is not on Π
Next:
We know that the required point must lie on the normal vector <4,3,-1> passing through the origin, i.e.
P=(0,0,0)+k<4,3,-1> = (4k,3k,-k)
For P to lie on plane Π , it must satisfy
4(4k)+3(3k)-(-k)=-1
Solving for k
k=-1/26
=>
Point P is (4k,3k,-k) = (-4/26, -3/26, 1/26) = (-2/13, -3/26, 1/26)
because P is on the normal vector originating from the origin, and it satisfies the equation of plane Π
Answer: P(-2/13, -3/26, 1/26) is the point on Π closest to the origin.
There a number of methods in solving a system of equations. These methods are the substitution method, solving by graphing, gaussian elimination and by elimination method. For this case, we use the substitution method. To do this, we write one of the equation in a way where one variable is left on one side. We do as follows:
<span>−0.9x+0.5y=3.9
0.5y = 3.9 + 0.9x
y = 3.9/0.5 + 0.9x/0.5
y = 7.8 + 1.8x
Then, we subsitute this equation to variable y in the second equation.
</span>0.4x+1.5(7.8 + 1.8x)=−6.9
Then, we solve for x
0.4x+1.5(7.8 + 1.8x)=−6.9
0.4x+11.7 + 2.7x=−6.9
3.1x = -18.6
x = -6
We substitute this value of x, to the first equation to solve for y
y = 7.8 + 1.8x
y = 7.8 + 1.8(-6)
y = -3
Answer:
Step-by-step explanation:
y=mx+b
we know your slope is 3.
so to finish the equation you need to by b
-4=3(2)+b
-4=6+b
2=b
equation y=3x+2
