Answer:
look up stuff online and then type the question u been told
Hi there!

The roots of a function are when f(x) = 0, so:
0 = x² + 9x - 36
Find two numbers that multiply to -36 and add up to 9.
We get the numbers 12 and -3, so:
0 = (x + 12)(x - 3)
Set each equal to 0 to find the x value:
0 = x + 12
x = -12
0 = x - 3
x = 3
Answer:
1. false
2. false
3. true
Step-by-step explanation:
1. If the value of a was negative, then the graph of the quadratic would open downwards because the negative sign would induce a reflection of the graph over the x-axis.
However, we can see from the graph that the quadratic opens up, so a is not negative and this statement is false.
2. The vertex of a quadratic equation is the minimum or maximum point. Here, since the graph points up, the vertex will be the minimum point. That point is actually (3, -1). Clearly, this is not (-1, 3), so the statement is false.
3. The axis of symmetry is essentially the line with the x-value of the vertex. Since the x-coordinate of the vertex is 3, that means the axis of symmetry is the line x = 3. Thus, the statement is true.
Answer:
Length of the other side of the backyard is 80.4 feet.
Step-by-step explanation:
Let the dimensions of the Liam's rectangular backyard = 85 feet × a feet
Diagonal of the rectangle, AD = 117 feet
When we apply Pythagoras theorem in ΔABD,
AD² = AB² + BD²
(117)² = (85)² + BD²
a² = 13689 - 7225
a = √6464
= 80.399 feet
a ≈ 80.4 feet
Therefore, length of the other side of the backyard is 80.4 feet.
In solving equations, each must have vales of x and y. X is any number and Y is the output of any number. If you substitute x for a number, you can solve the equation for y.