5. The value of k is the same of b in the original linear equation formula (y=mx+b). The b (or k here) changes where the equation itself fits on the graph. If a +0 is replaced with a -5, then the equation is shifted down by five units. I've graphed it below for you (where f(x) is in red and g(x) is in blue). Hope this helps!
Answer: 43.3 inches.
Step-by-step explanation:
According to the Pythagorean Theorem:
Where "a" is the hypotenuse, and "b" and "c" are the legs of the right triangle.
Let be "c" the width of the television.
We can indentify in the figure that:
Then, we can substitute values and solve for "c":
Rounded to the nearest tenth:
Answer:
<em>Both equal sides have a length of 29 cm.</em>
<em>The third inequal side is 9 cm.</em>
Step-by-step explanation:
<u>System of Equations</u>
With the data provided in the problem, we can form a system of two equations with two unknowns.
Let's call x to each equal side of the isosceles triangle and y to the other side. One condition states that each equal side is 2 cm more than three times the other side. It can be written as:
We also know the perimeter of the triangle is 67 cm. Since we have to equal sides to x:
Let's put together both equations:
To solve the system, we can use the x from the first equation and replace it into the second equation:
Operating:
Joining like terms:
Solving for y:
The third inequal side is 9 cm. Now find the value of x.
Both equal sides have a length of 29 cm.