Hi there!
To get this answer, a calculator would probably be helpful. But if you don't have the square root function, here's how to do it:
You can multiply a number by itself to get another number.
8 × 8 = 64, right?
So, if 8 × 8 = 64, then the square root of 64 would be.....
√64 = 8
Keep in mind, you will always get a perfect square number when you multiply a number by itself, and then try too get the square root of the answer.
This will work with any number multiplied by itself like how 5 × 5 = 25, and the √ of 25 is 5.
The √ of 49 is 7.
The √ of 36 is 6.
The √ of 9 is 3, and so on.
Hope this helps! :D
Remember, just send me a message if you need anything else! I'd be happy to help with anything! :D
Answer:
See proof below
Step-by-step explanation:
We will use properties of inequalities during the proof.
Let . then we have that . Hence, it makes sense to define the positive number delta as (the inequality guarantees that these numbers are positive).
Intuitively, delta is the shortest distance from y to the endpoints of the interval. Now, we claim that , and if we prove this, we are done. To prove it, let , then . First, then hence
On the other hand, then hence . Combining the inequalities, we have that , therefore as required.
The equation of a line can be written in slope-intercept form like this:
y = mx + b
Where m is the slope of the line and b is the Y-intercept. The slope of a line is given by the following formula:
Where (x1, y1) and (x2, y2) are two points where the line passes through. In this case, by taking the points (-9, -9) and (-6, 0) we get:
Then we can rewrite the equation of the line like this:
y = 3x + b
By replacing the coordinates of the points (-6, 0) we get:
0 = 3(-6) + b
0 = -18 + b
18 = -18 + 18 + b
18 = b
b = 18
By replacing 18 for b and 3 for m we get:
y = 3x + 18
Answer:
≈ 12.65 Square units
Step-by-step explanation:
lateral area of a pyramid may be given by the formula;
L. A = l√((w/2)² + h²) + √((l/2)² +h²)
length = 2 , width = 2 and height = 3
= 2 √((2/2)² + 3²) + 2 √((2/2)² + 3²)
= 2 √10 + 2√10
= 4√10
= 12.649
≈ 12.65 Square units
Parallel lines has equal slopes. Hence slope of line = -1/2
equation of line is (y - y1) = -1/2(x - x1)
y - (-6) = -1/2(x - 4)
y + 6 = -1/2x + 2
y = -1/2x + 2 - 6
y = -1/2x - 4