Answer:
B) x = 2, y = 3 and z = 5.
Step-by-step explanation:
3x −2y + 4z = 20 .....A
-x + 5y+ 12z = 73 .....B
x + 3y −2z = 1 ......C
Adding B and C:
8y + 10z = 74 .... E
Multiply equation B by -3:
-3x - 9y + 6z = -3
Add this equation to A:
-11y + 10z = 17
Subtract this equation fro E:
19y = 57
y = 3.
Substitute y = 3 in equation E:
8*3 + 10z = 74
10z = 50
z = 5.
Finally substitute y = 3 and z = 5 into equation C:
x + 3(3) - 2(5) = 1
x + 9 - 10 = 1
x = 1 + 1
x = 2.
<h3>
Answer: 6.282</h3>
Explanation:
Refer to the table below. I've added a third row where I multiplied each x value with its corresponding frequency value f. We can refer to this row as the xf row.
Once we know the xf values, we add them up to get 245.
We'll then divide that result over the sum of the frequency values (add everything in the second row). The sum of the frequency values is 39.
So the mean is approximately: 245/39 = 6.282051 which rounds to 6.282
Notice that this mean value is fairly close to the x value which has the highest frequency.
The point-slope form:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
We have the point (4, -6) and the slope m = 3/5. Substitute:
![y-(-6)=\dfrac{3}{5}(x-4)\\\\\boxed{y+6=\dfrac{3}{5}(x-4)}](https://tex.z-dn.net/?f=y-%28-6%29%3D%5Cdfrac%7B3%7D%7B5%7D%28x-4%29%5C%5C%5C%5C%5Cboxed%7By%2B6%3D%5Cdfrac%7B3%7D%7B5%7D%28x-4%29%7D)
Answer:
r = 6.40 feet
Step-by-step explanation:
Given line AB is tangent to circle O at point A, this means ∡OAB = 90°
Hence this is a right angle triangle and we can use the Pythagorean theorem.
r² + 20² = 21²
r² = 21² - 20²
r² = 441 - 400
r² = 41
r = √41 = 6.40 feet
The monomial factor is (4)(4) = 16. Notice that 4 is a common factor of the first expression in parentheses, and that 4 is again a common fact. of the second expression in parentheses. You will be left with 2 binomials, as desired. Show your work, please.