Answer: The TV is 48 inches wide.
Step-by-step explanation: To find the solution to this equation we must use the Pythagorean theorem. The Py. Theo. is basically the formula :
a^2 + b^2 = c^2 You say this as "A squared plus b squared equals c squared"
To use this formula you must plug in the given values of a and b, to find c. A and b represent the two bases of the triangle, while c is the hypotenuse. In this equation we already have the value of c and a. We need to find b, but in order to do that we use a different formula. We use : c^2 - a^2 = b^2
See :
52^2 - 20^2 = b^2 *The ^2 means "to the power of" aka an exponent*
2704 - 400 = b^2 *When dealing with ^2, all you do is multiply the number by itself*
2304 = b^2 *Next, we find the square root of our current number.*
48 = b
*Another way to solve this equation is to memorize all the Pythagorean Triples. With that knowledge, you wont even need to use the formula because you will already know all three values. I hope this helped you understand :)
Answer:
Solution of the given equations is (-5,2)
Step-by-step explanation:
We have been given the following system of equations:
y = (2/5)x + 4
y = 2x + 12
The solution of the system of equation can be found by finding the point of intersection of both lines on the graph. The graph of both equations is attached below.
As we can see that both the lines intersect each other at one point, and that point is (-5,2). So the solution of the given equations is (-5,2)
<h2>
Answer:</h2>
The vertex of the function is:
(-2,-2)
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Step-by-step explanation:</h2>
We are given a absolute value function f(x) in terms of variable "x" as:

We know that for any absolute function of the general form:

the vertex of the function is : (h,k)
and if a<0 the graph of function opens downwards.
and if a>0 the graph of the function opens upwards.
Hence, here after comparing the equation with general form of the equation we see that:
a= -1<0 , h= -2 and k= -2
Since a is negative , hence, the graph opens down .
Hence, the vertex of the function is:
(-2,-2)
Answer:
8 units squared.
Step-by-step explanation:
Assuming the numbers are the length and width, we can use the formula for finding the area of the rectangle.
The area should be eight units squared.
