Answer:
![y = (\frac{-1}{6})x - 3](https://tex.z-dn.net/?f=y%20%3D%20%28%5Cfrac%7B-1%7D%7B6%7D%29x%20-%203)
Step-by-step explanation:
Given line = 30x - 5y = 5 or y = 6x + 1
so, the slope of the given line is 6.
now, let the line which is perpendicular to the given line be y = mx + c
where,
m = slope of the line
c = constant
As we know, if two lines are perpendicular to each other, the value of product of there slopes are -1.
so, slope of given line × slope of perpendicular line = -1
⇒ 6(m) = -1
⇒ m = ![\frac{-1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B6%7D)
By substitutiong the value of m in the equation, we get;
⇒ ![y = (\frac{-1}{6})x + c](https://tex.z-dn.net/?f=y%20%3D%20%28%5Cfrac%7B-1%7D%7B6%7D%29x%20%2B%20c)
For c,
as the point (0,-3) passes through the line, we get;
⇒ ![-3 = (\frac{-1}{6})(0) + c](https://tex.z-dn.net/?f=-3%20%3D%20%28%5Cfrac%7B-1%7D%7B6%7D%29%280%29%20%2B%20c)
⇒ ![c = -3](https://tex.z-dn.net/?f=%20c%20%3D%20-3%20)
Hence,
The line which is perpendicular to the given line and passes through (0,-3) is
.
Step-by-step explanation:
24 + 28
2*2*2*3 + 2*2*7 [prime factors]
You may distribute any common ones, for example:
4(6+7) [that is, 2*2*(2*3 + 7)
2(12+14)
Answer:
Step-by-step explanation:
First calculate for the area of the trapezoid (the formula is (base + base / 2) x height):
60 cm + 90 cm = 150 cm
150 cm / 2 = 75 cm
75 cm x 30 cm = 2250 cm²
Now 1 cm² = 1 mL and 1000 mL = 1 L
2250 cm² = 2250 mL
2250 mL = 2.25 L
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