The area of the pentagon is 140
Answer: Yes, the point (3,4) is a solution to the system.
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Proof of this:
Replace x with 3 and y with 4 in the first equation
x+y = 7
3+4 = 7
7 = 7
This confirms the first equation. Repeat for the second equation
x-2y = -5
3-2(4) = -5
3 - 8 = -5
-5 = -5
We get true equations for both when we plug in (x,y) = (3,4). This confirms it is a valid solution to the system of equations. It turns out it's the only solution to this system of equations. Visually, the two lines cross at the single location (3,4).
The value of n you plug into your equation will be 6. Then the correct option is C.
<h3>What is compound interest?</h3>
Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
When calculating a loan’s effective rate.
If the interest compounds every two months.
Then the value of n you plug into your equation will be
If the interest is compounded every two months, the interest will be applied six times every year.
Because there are 12 months in a year, the value of n that you will plug into your equation is 6, and it will be compounded every two months.
More about the compound interest link is given below.
brainly.com/question/25857212
Answer:
Part A: one solution:
Part B: x = 3, y = 4.
Explanation:
1) Part A: how many solutions does the pair of equations for lines A and B have?
The solution of a system of equations in a graph is given by the intersetion of the curves that represent the equations.
In this case, there are two straight lines, which intersect in one and only one point.
Hence, the system has one solution.
2) Part B: what is the solution to the equations of lines A and B?
The solution is the pair of coordinates of the intersection point. It is (3, 4).
Therefore, the solution is x = 3, y = 4.
You need Pythagorean theorem for this.
a² + b² = c², where c is the hypotheneus and a and b are the sides of the right triangle.
24² + x² = 26²
x² = 676-576
x = ±√100
x = 10 (-10 is rejected because length of triangle cannot be a negative number)
