The easiest way to solve this problem is to put (2, -5) into both equations and see if it satisfies/works for both of them. 2 = x and -5 = y.
So for <span>2x + 5y = -19,
</span><span>2(2) + 5(-5) = -19
4 - 25 = -19
-21 </span><span>≠ -19.
You can continue and try it out for </span><span>6y - 8x = -54
6(-5) - 8(2) = -54
-30 - 16 = -54
-46</span> ≠ -54
But since (2, -5) already doesn't work for one equation, it cannot be a solution to the system of equations.
Answer:
Option f) None of these
Step-by-step explanation:
We are given the following data set:
Sample size, n = 12
Sample mean = 9.4
Sample standard deviation = 0.64
Confidence interval:
Putting the values, we get,
Answer:
200.96
Step-by-step explanation:
2πr is the perimeter or circumference of a circle
.
diameter is 32cm so radius=16cm
2*3.14*16=100.48cm is long
Answer:
2412 mm³
Step-by-step explanation:
In the figure attached, the composite figure is shown.
Dimension of top rectangular prism:
Volume of top rectangular prism: length*width*height = 13*12*12 = 1872 mm³
Dimension of bottom rectangular prism:
Volume of bottom rectangular prism: length*width*height = 15*12*3 = 540 mm³
Volume of the composite figure: 1872 + 540 = 2412 mm³
2*5 = 10
2*2 = 4
4(10) + 2(4) = 40 + 8 = 48
ans) 48cm