Answer:
1 .4x2-9= 2x+3,2x-3
2 .16x2-1=4x-1,4x+1
3 .16x2-4=4(2x+1)(2x-1)
4 .4x2-1=(2x+1)(2x-1)
Step-by-step explanation:
16x² − 1 = (4x − 1)(4x + 1) ; 16x² − 4 = 4(2x + 1)(2x − 1); 4x² − 1 = (2x + 1)(2x − 1) ;
4x² − 9 = (2x + 3)(2x − 3)
16x² − 1 is the difference of squares. This is because 16x² is a perfect square, as is 1. To find the factors of the difference of squares, take the square root of each square; one factor will be the sum of these and the other will be the difference.
The square root of 16x² is 4x and the square root of 1 is 1; this gives us (4x-1)(4x+1).
16x² − 4 is also the difference of squares. The difference of 16x² is 4x and the square root of 4 is 2; this gives us (4x-2)(4x+2). However, we can also factor a 2 out of each of these binomials; this gives us
2(2x-1)(2)(2x+1) = 2(2)(2x-1)(2x+1) = 4(2x-1)(2x+1)
4x² − 1 is also the difference of squares. The square root of 4x² is 2x and the square root of 1 is 1; this gives us (2x-1)(2x+1).
4x² − 9 is also the difference of squares. The square root of 4x² is 2x and the square root of 9 is 3; this gives us (2x-3)(2x+3).
Answer: 60cm
Step-by-step explanation:
6 times 2 is 12
12 times 5 is 60
Answer:
8
Step-by-step explanation:
The x intercept is when y = 0
x + 3(0) = 6
x = 6
So (6,0) and m = 6
the y intercept is when x = 0
0 + 3y = 6 Divide by 3
y = 6/3
y = 2
the y intercept is (0,2) and n = 2
Answer
m + n = 6 + 2 = 8
Answers:
<em>How much did the temperature change from Sunday High to Mondays High?</em>
Change = 4 °C
<em>What was the difference between the high temperatures on Friday and Wednesday?</em>
Difference = 10 °C
Explanation:
Taking into account the graph, we get that the high temperature each day is:
Sunday: -10°C
Monday: -6 °C
Tuesday: - 4 °C
Wednesday: -6 °C
Thursday: 0 °C
Friday: 4 °C
Saturday: -2 °C
So, the change from Sunday High to Mondays High can be calculated as:
Change = Monday - Sunday
Change = -6 °C - (- 10 °C)
Change = -6 °C + 10 °C
Change = 4 °C
In the same way, the difference between the high temperatures on Friday and Wednesday can be calculated as:
Difference = Friday - Wednesday
Difference = 4 °C - (-6 °C)
Difference = 4 °C + 6 °C
Difference = 10 °C
Therefore, the answers are:
<em>How much did the temperature change from Sunday High to Mondays High?</em>
Change = 4 °C
<em>What was the difference between the high temperatures on Friday and Wednesday?</em>
Difference = 10 °C
The correct answer is x=-2