Answer:
33600 m²
Step-by-step explanation:
The top and bottom horizontal sides are parallel, so this is a trapezoid with bases DC and AB. The height is BC.
area of trapezoid = (a + b)h/2
where a and b are the lengths of the bases, and h is the height.
We need to find the height, BC.
Drop a perpendicular from point A to segment DC. Call the point of intersection E. E is a point on segment DC.
DE + EC = DC
EC = AB = 360 m
DC = 600 m
DE + 360 m = 600 m
DE = 240 m
Use right triangle ADE to find AE. Then BC = AE.
DE² + AE² = AD²
DE² + 240² = 250²
DE² = 62500 - 57600
DE² = 4900
DE = √4900
DE = 70
BC = 70 = h
area = (a + b)h/2
area = (600 m + 360 m)(70 m)/2
area = 33600 m²
Y = mx + b
m is the gradient, otherwise known as slope
b is known as the y-intercept
So 3y = 4x + 6
Divide both sides by 3 to isolate y.
y = (4/3)x + 2
The gradient is 4/3
The y-intercept is 2
Explanation:
Formula to calculate pH of a chemical or solution is as follows.
pH = ![-log [H^{+}]](https://tex.z-dn.net/?f=-log%20%5BH%5E%7B%2B%7D%5D)
Therefore, calculate the pH of given chemicals as follows.
1). Oven cleaner
pH =
= ![-log [10^{-13}]](https://tex.z-dn.net/?f=-log%20%5B10%5E%7B-13%7D%5D)
= 13
2). Water
pH =
= ![-log [7 \times 10^{-7}]](https://tex.z-dn.net/?f=-log%20%5B7%20%5Ctimes%2010%5E%7B-7%7D%5D)
= 6.15
3). Blood
pH =
= ![-log [4 \times 10^{-8}]](https://tex.z-dn.net/?f=-log%20%5B4%20%5Ctimes%2010%5E%7B-8%7D%5D)
= 7.40
4). Vinegar
pH =
= ![-log [63 \times 10^{-4}]](https://tex.z-dn.net/?f=-log%20%5B63%20%5Ctimes%2010%5E%7B-4%7D%5D)
= 2.20
To represent a horizontal line going through a point on the graph, we denote it with the variable y, as this means the graph would intersect the y axis horizontally and extend in both the left and right directions.
The solution would be the equation, y equaling the y coordinate of the point which is 14. Y = 14.
1) Find sum of (12x+9y) and (-2y)
12x+9y+(-2y)=12x+7y
2) Subtract (4x-3y) from the sum
(12x+7y)-(4x-3y)=12x+7y-4x+3y=8x+10y
3) The answer is 8x+10y
