Answer:
(2x-3) (2x+3)
zeros, x intercepts: -3/2, 3/2
Step-by-step explanation:
4x^2 -9
We know the difference of squares is a^2 -b^2
This factors into (a-b) (a+b)
Let 4x^2 =a^2
Taking the square root
2x =a
Let b^2 =9
Taking the square root
b= 3
(4x^2-9 ) = (2x-3) (2x+3)
To find the zeros, we set the equation equal to zero
(4x^2-9 ) = (2x-3) (2x+3) =0
Using the zero product property
2x-3 =0 and 2x+3 =0
2x-3+3 = 0+3 2x+3-3 = 0-3
2x=3 2x=-3
Divide by 2
2x/2 = 3/2 2x/2 = -3/2
x = 3/2 x = -3/2
These are the zeros of the equation (which are also the x intercepts)
Answer: 9 and 10
Step-by-step explanation:
To understand this question we need to first understand how to solve square root equations! The easiest way to learn how to solve square root problems is by finding the reverse of the problem.
For example, if you tried to find the square root of 25, you would reverse the problem to do 5^2 = 5 x 5 = 25.
So if we were to implement this problem, we would look at these two whole numbers.
9^2 = 9 x 9 = 81
10^2 = 10 x 10 = 100
Thus meaning that the only two numbers that the square root of 97 lies between can be 9 and 10!
It's important to rely on your knowledge of multiplication to develop a strong base for square roots.
Answer: 24, 24, 47
<u>Step-by-step explanation:</u>
In order to form a triangle, the sum of two sides must be GREATER than the third side for all combinations.
a + b > c & a + c > b & b + c > a
23 + 28 = 51 which is NOT greater than 55
15 + 30 = 45 which is NOT greater than 45
8 + 17 = 25 which is NOT greater than 25
24 + 24 > 47 & 24 + 47 > 24 & 24 + 24 > 27
all combinations are true so these side lengths can form a triangle
Answer: :(
Step-by-step explanation: you said 20
154mm
we know that 1cm = 10 mm
therefore 15cm= 10*15 mm
= 150 mm
and 4 mm
we get total mm= 15cm +4mm
= 150mm+4mm
= 154 mm
mm stands for millimeters and cm stand for centimeters
learn more of millimeter here brainly.com/question/25862563
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