Answer:
(-6,9,-3)
Step-by-step explanation:
-3x -y +z=6
-3x-y+3z =0
x-3z =3
Multiply the second equation by -1
-1 *(-3x-y+3z) =0*-1
3x +y -3z =0
Add this to the first equation
-3x -y +z=6
3x +y -3z =0
----------------------
0 + 0 + -2z = 6
Divide by -2
-2z/-2 = 6/-2
z = 6/-2
z=-3
Take the third equation to find x
x-3z=3
x-3(-3) = 3
x+9=3
Subtract 9 from each side
x+9-9 =3-9
x=-6
Now we need to find y
3x +y -3z =0
3(-6) +y -3(-3) =0
-18 +y +9=0
-9+y =0
Add 9 to each side
-9+9+y = 0+9
y=9
(-6,9,-3)
Answer:
Um what is the question on the test?
Answer:
B. 7.9 in^2
Step-by-step explanation:
Part I.
Finding the fraction of the circle that is the sector
To start, let’s find the fraction of the circle that the sector covers. Since the measure of the central angle is 36, we get 36/360 or 1/10 of the circle.
Part II.
Finding the area of the Circle
The area of a circle is pi*r^2. Since r=5, then the area is 25pi.
Part III.
Finding the area of the sector.
Since the sector is 1/10 of the circle, its area is 1/10 of the circle’s area. So the area of the sector is 25/10*pi or (5/2)pi. This is approximately 7.9 in^2.
Y = - 10x + 2
the slope is -10
rise over run
the line is declining 10 units for every one unit to the right
and the line hits the y-axis at + 2 so 2 = b
Answer:
Step-by-step explanation:
Given that Jared invested some money in a company's stock. Luckily for Jared, the company became very popular and the value of Jared's investment this morning is 7 times as large as the value of his investment yesterday morning.
a) Suppose Jared invested amount P
Today its value is 7P
i.e. 700% of yesterday value is value of Donald's investment this morning
b) Increase in value in one day from yesterday to today = 6 times P
i.e. increase in percent = 600%
Change in investment = +600%