Step-by-step explanation:
Given: (a+b)²
To prove: (a+b)² = a² + 2ab + b²
Proof:-
(a+b)² = (a+b)(a+b)
(a+b)²=a(a+b)+b(a+b)
(a+b)² = a²+ab+ab+b²
(a+b)² = a²+2ab+b².
Alright, so the first thing I would do is find the LCM of the dividends, which is 20. So we have 10 15/20 and 6 16/20. You can either leave it there and just carry the one (20 in this case) for 3 19/20.
If you multiply 10 by 20 and add 15, or 6 by 20 and add 16 (which I think is easier) you get 215/20 - 136/20 = 79/20. It can be simplified from here if you teacher wants it in the future.
Radius = diameter/2 = 8/2 = 4m
Area of a circle = pi x r^2 = pi x 4^2 = 16pi m^2 ( exact area) or 50.27 m^2
Circumference = pi x diameter = 8pi m ( exact) or 25.12 m
Answer:
Square Root of 40 to the Nearest Tenth
Square Root to the nearest tenth
Square Root of 40 to the nearest tenth, means to calculate the square root of 40 where the answer should only have one number after the decimal point.
Here are step-by-step instructions for how to get the square root of 40 to the nearest tenth:
Step 1: Calculate
We calculate the square root of 40 to be:
√40 = 6.32455532033676
Step 2: Reduce
Reduce the tail of the answer above to two numbers after the decimal point:
6.32
Step 3: Round
Round 6.32 so you only have one digit after the decimal point to get the answer:
6.3
To check that the answer is correct, use your calculator to confirm that 6.32 is about 40.
Step-by-step explanation:
Pls mark brainliest tyy!!
Answer:
Step-by-step explanation:
Because of the nature of the information we are given, we have no choice but to use the equation
and solve for a.
We know by the info that the vertex is (0, 84). We also know that if the vertex is at the origin, and that the base is 42 feet wide, it spans 21 feet to the right of the origin and 21 feet to the left of the origin. That means that we have 2 coordinates from which we need to pick one for our x and y in the equation. I don't like negatives, so I am going to choose the coordinate (21, 0) as x and y. Because this parabola opens upside down, as archways of door openings do, our "a" value better come out algebraically as a negative. Let's see...From the vertex we have that h = 0 and k = 84. So filling in:
and simplifying a bit:
0 = 441a + 84 and
-84 = 441a so
Good, a is negative. Your equation is, then:
