Answer:
The given solution for the system is x = 5, y = -2 and z = -5
Step-by-step explanation:
Here, the given set of equations are:
2 x + 4 y +2 z = -8
5 y- 2 z = 0
4 z = -20
Now, simplifying each question one by one ,we get:
Simplifying third equation for the value of z:
4 z = -20 ⇒ z = -20 / 4 = - 5
or, z = -5
Simplifying second equation for the value of y:
Substitute the value of z = -5 in (2) , we get
5 y- 2 z = 0 ⇒ 5 y - 2(-5) = 0
or, 5 y + 10 = 0
or, 5 y = -10
or, y = -10/5 = -2
⇒ y = -2
Simplifying first equation for the value of x:
Substitute the value of z = -5 and y = -2 in (1) , we get
2 x + 4 y + 2 z = -8 ⇒ 2 x + 4 (-2) + 2 (-5) = -8
or, 2 x - 8 - 10 = -8
or, 2 x = 10
x = 10 / 2 = 5, or x = 5
Hence, the given solution for the system is x = 5, y = -2 and z = -5
Answer:
-4/5
Step-by-step explanation:
1 4/5 is 4/5, but since 1 is negative it will be -4/5
8^2 = 64 since 8*8 = 64
Squaring a number is the same as multiplying it by itself.
Since 8^2 = 64, this means
1/64 = 1/(8^2) = 8^(-2)
So, 1/64 = 8^(-2)
where the exponent is negative 2
Answer:
Radius is <u>2.8</u> Circumference is <u>17.584 or 17.6 Rounded to the nearest Tenths </u>
Step-by-step explanation:
1. Find circumference with the Formula <u>C=πd</u>
C=3.14 x 5.6
<u><em>C=17.584 or 17.6 Rounded to the nearest Tenths </em></u>
2. Radius is Always half of the Diameter.
5.6/2 = 2.8
<em><u>2.8 is your radius.</u></em>
3. If you want to check you work try the formula C=2πr to see if things checks out.
C=2 x 3.14 x 2.8
<u><em>C= 17.584 or 17.6 Rounded to the nearest Tenths </em></u>
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<u><em>Hope this Helps!</em></u>
