Answers:
The first and third options should be selected.
- The ordered pair (10,5) is a solution to the first equation because it makes the first equation true.
- The ordered pair (10,5) is not a solution to the system because it makes at least one of the equations false.
Explanation:
In order for a point to be a solution to a system of equations, it must make both equations true when its x and y values are substituted in. That being said, we need to test if (10,5) is a solution for the two equations.
Let's try the first equation. Substitute 10 for x and 5 for y and solve:
-5 does equal -5, so (10,5) is a solution to the first equation.
Next, let's test the second equation. Do the same:
However, 20 does not equal 11, therefore (10,5) is not a solution to the second equation.
So far, we know that (10,5) is a solution to the first equation, but not the second equation. Knowing this, it cannot be a solution to the system because it does not make both equations true. Therefore, only the first and third options should be selected.
It is more effective if I explain using examples. So, for multiplication, you just have to multiply the magnitude, then add the exponents of the base 10. For example, when you multiply 5.2×10³ and 1.6×10², the solution would be:
(5.2)(1.6)(10³⁺²) = 8.32×10⁵
Now, for division, you will have to divide the magnitudes, and subtract the exponents by numerator minus denominator. The solution is as follows:
(5.2/1.6)(10³⁻²) = 3.25×10¹
Step-by-step explanation: When the equation of a line is written in the form "y = a number," that line is a horizontal or flat line.
For example, y = 1, y = 8, and y = 96 are all horizontal lines.
Parallel lines have the same slope so any line
parallel to "y = a number" will also have a slope of 0.
Answer:
Step-by-step explanation:
Because this is a right triangle and you have all the side values, you can use any of the trig identities to solve for angle N. I'll just use sin (no reason; any of them will work and will give you the correct answer as long as you do it properly!)
sin of an angle is the side opposite the reference angle over the hypotenuse. For us, that looks like this:
and
sinN = .3243243243 and then hit the 2nd button and then sin to get:
and after that set of parenthesis, enter the decimal to get that
N = 18.9 degrees
<span>seven and three one thousandths</span>