The <em>correct answers</em> are:
A) Both can be solved by graphing;
C) Both can be solved by substitution; and
D) Both have solutions at the points of intersection.
Explanation:
Just as a system of linear equations can be solved by graphing, a system of quadratic equations can as well. We graph both equations. We then look for the intersection points of the graphs; these intersection points will be the solutions to the system.
We can also solve the system by substitution. If we can get one variable isolated, we can substitute this into the other equation to solve.
Answer:
f(x) = - x/2 + 7/2
Step-by-step explanation:
hope this helps
The system of equations that can be used to determine the number of tetra fish and goldfish purchased is:
x = 2 y. 2 x + 1.5 y = 20
<h3>What are the system of equations ?</h3>
In order to determine the required values, two linear equations would be formed from the question. The two equations would exhibit the relationship between the two types of fishes:
The first equation would show the ratio between the two types of fishes bought: 2y = x
Th second equation would show the total cost of the two type of fish:1.5y + 2x = 20
To learn more about simultaneous equations, please check: brainly.com/question/16763389
#SPJ1
Answer:
9.48
Step-by-step explanation:
Complete question
<em>A stainless steel patio heater is a square pyramid. The length of one side of the base is 89.6 The slant height of the pyramid 90.1. What is the height of the pyramid?</em>
To get the height of the pyramid, we will use pythagoras theorem.
slant height l is the hypotenuse
length of the base is the adjacent
height of the pyramid is the opposite
According to the theorem;
l² = h² + b²
90.1² = h² + 89.6²
8,118.01 = <em>h²+</em>8,028.16
h²= 8,118.01 - 8,028.16
h² = 89.85
h =√89.85
h = 9.48
Hence the height of the pyramid will be 9.48
<em>Note that the value of the slant height was assumed to solve the problem</em>.
The vertical angles are congruent (or equal) so,
32 = 2x
2x = 32
2x/2 = 32/2 ..... dividing both sides by 2
x = 16 which is the answer
