Determine the solution to the system of equation below, algebraically. 5x+3y=28 x+y=8
1 answer:
You might be interested in
The x-intercepts and the y-intercepts of the function is that determines the graph is:
- x-intercepts = (-5,0) and (-1,0)
- y-intercepts = (0,2)
The function of an absolute equation can be graphed by determining the values of x-intercepts and the y-intercepts of the function.
From the given equation:
y = 2|x+3| - 4
To determine the y-intercepts, we need to set the values of x to zero, and vice versa for x-intercepts.
By doing so, the x-intercepts and the y-intercepts of the function is:
- x-intercepts = (-5,0) and (-1,0)
- y-intercepts = (0,2)
Therefore, since we know the x and y-intercepts, the graph of the absolute value can be seen as plotted below.
Learn more about determining the graph of an absolute equation here:
#SPJ1
Answer:
a. and 41.6
b. 52.1
Step-by-step explanation:
a.
Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.
<u>Note:</u> the exact value of tan 60 is
Thus, we can write
Approximate value (rounded to nearest tenth):
b.
Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.
Thus we can write and solve: