Answer:
10
Step-by-step explanation:
Answer:
4900 Litres
Step-by-step explanation:
First we need a common demoninator:
3/7=15/35
Then we subtract the two to figure out how much 420 Litres is:
15/35-12/35=3/35
3/35=420 litres
Divide amount by the numerater for thow much 1/x is.
1/35=140
and multiply by the denomenator to get a full number on your fraction, and therefore a full tank.
140 x 35 = 4900
- Slope-Intercept Form: y = mx+b, with m = slope and b = y-intercept
So perpendicular lines have <u>slopes that are negative reciprocals</u> to each other, but firstly we need to find the slope of the original equation. The easiest method to find it is to convert this standard form into slope-intercept.
Firstly, subtract 3x on both sides of the equation: ![-4y=-3x+9](https://tex.z-dn.net/?f=%20-4y%3D-3x%2B9%20)
Next, divide both sides by -4 and your slope-intercept form of the original equation is ![y=\frac{3}{4}x-\frac{9}{4}](https://tex.z-dn.net/?f=%20y%3D%5Cfrac%7B3%7D%7B4%7Dx-%5Cfrac%7B9%7D%7B4%7D%20)
Now looking at this equation, we see that the slope is 3/4. Now since our new line is perpendicular, this means that <em>its slope is -4/3.</em>
Now that we have the slope, plug that into the m variable and plug in (-4,-5) into the x and y coordinates to solve for the b variable as such:
![-5=-\frac{4}{3}*-4+b\\\\-5=5\frac{1}{3}+b\\\\-10\frac{1}{3}=b](https://tex.z-dn.net/?f=%20-5%3D-%5Cfrac%7B4%7D%7B3%7D%2A-4%2Bb%5C%5C%5C%5C-5%3D5%5Cfrac%7B1%7D%7B3%7D%2Bb%5C%5C%5C%5C-10%5Cfrac%7B1%7D%7B3%7D%3Db%20)
<u>In short, your new equation is y = -4/3x - 10 1/3.</u>
Answer:
4.7
Step-by-step explanation:
Given equation y=4.7x
constants of proportionality = y/x
so, y/x = 4.7
therefore, answer is 4.7
Answer: Because 4 is the base of what is being exponentially multiplied, you can multiply 256 by 4 to get 4^5