We know that
The square root property<span> is one method that is used to find the solutions to a quadratic equation. This method involves taking the square roots of both sides of the equation.
</span>(x – 3)² – 32 = 17-------> (x – 3)² = 17+32-----------> (x – 3)² = 49
(x – 3)² = 7²--------> <span>will take the square root of each side
</span>so
√(x – 3)²=(+-)√7²------> <span>notice the use of the </span> sign (+-), this will give us both a positive and<span> a negative root
</span>
then
x-3=7--------> x=10
x-3=-7-------> x=-4
the answer Part a) is
x=10
x=-4
Part b) Explain why the given equation has two solutions.
the answer part b) is
Because exist<span> the possibility of two roots for every square root, one positive and one negative</span>
Answer:
y= -2x + (-6)
or
y= -2x - 6
both work !
Step-by-step explanation:
Answer:
√185 or 13.60 units to the nearest hundredth.
Step-by-step explanation:
For the points (x1,y1) and (x2,y2) the length between the points is given by:
L = √ [ (x2-x1)^2 + (y2-y1)^]
So here we have:
Length of AB √ [ (7- - 4)^2 + (-2 - 6)^2]
= √ (121 + 64)
= √185.
By using the given graph:
- When x = -2, the value of the function is f(-2) = 1
- When x = -0.5, the value of the function is f(-0.5) = 0.75
- When x = 0, the value of the function is f(0) = 1.25
- When x = 2.5, the value of the function is f(2.5) = 3
- When x = 6, the value of the function is f(6) = 0
<h3>
</h3><h3>
How to use the graph to find the values of the function?</h3>
Suppose that we want to find the value of the graphed function when x = a.
- Then we first need to identify x = a in the horizontal axis.
- Then we move upwards (or downwards) until we meet the curve of the function.
- Now you can move horizontally towards the vertical axis, where you can read the y-value associated to the x-value.
Now we can do these steps for each of the wanted values.
- When x = -2, the value of the function is f(-2) = 1
- When x = -0.5, the value of the function is f(-0.5) = 0.75
- When x = 0, the value of the function is f(0) = 1.25
- When x = 2.5, the value of the function is f(2.5) = 3
- When x = 6, the value of the function is f(6) = 0
If you want to learn more about how to read graphs:
brainly.com/question/4025726
#SPJ1
12 ) 18
13) 54
14) 28/54 (8weeks x 7 days) = 1/2
18/24 = 3/4
therefore rates not equal
15) 0 and 0 ;1 and 4; 2 and 8;3 and 12
