Answer:
500.61
Step-by-step explanation:
5 multiplied by 100 = 500
1/10 = 0.1, So 6 multiplied by 0.1 = 0.6
1/100 = 0.01, So 1 multiplied by 1 = 0.01
500 + 0.6 + 0.01 = 500.61
Answer:
Option (1)
Step-by-step explanation:
System of equations is represented by two straight lines on a graph.
And solution of the system of equations is the point of intersection of these lines.
From the graph attached, two straight lines represent the system of equations.
And the point of intersection of these lines is the solution.
Therefore, solution of the system of equations will be (-6, -2).
Option (1) will be the correct option.
Answer:
Option B k > 0
Step-by-step explanation:
we know that
Observing the graph
The slope of the line is positive
The y-intercept is negative
we have
![3y-2x=k(5x-4)+6\\ \\3y=5kx-4k+6+2x\\ \\3y=[5k+2]x+(6-4k)\\ \\y=\frac{1}{3}[5k+2]x+(2-\frac{4}{3}k)](https://tex.z-dn.net/?f=3y-2x%3Dk%285x-4%29%2B6%5C%5C%20%5C%5C3y%3D5kx-4k%2B6%2B2x%5C%5C%20%5C%5C3y%3D%5B5k%2B2%5Dx%2B%286-4k%29%5C%5C%20%5C%5Cy%3D%5Cfrac%7B1%7D%7B3%7D%5B5k%2B2%5Dx%2B%282-%5Cfrac%7B4%7D%7B3%7Dk%29)
The slope of the line is equal to
![m=\frac{1}{3}[5k+2]](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B3%7D%5B5k%2B2%5D)
Remember that the slope must be positive
so
The value of k is greater than -2/5
Analyze the y-intercept
1.5 is greater than zero
so
the solution for k is the interval ------> (1.5,∞)
therefore
must be true
k > 0
Is there not more to this problem? maybe thats the final answers
If two angles and included side of one triangle are equal to two angles and the included side of the other triangle , then the two triangles are congruent (ASA rule).
in figure
- consider triangle ABD and ACD
- Angle BAD = angle CAD
- AB = AC
- Angle B = angle C
- triangle ABD congruent to Triangle ACD ( by ASA rule)
