Answer:
Well, that is simple. You first must find the slope of the line from the 2 given points by using the slope formula. Which is y2-y1/x2-x1. So 2-4/-2-2 which equals -2/-4 which is 1/2. So the slope is 1/2. Now we can use the slope intercept form which is y=mx+b to find the slope equation. So we plug in one the points, say (2,4) and get y=1/2x+3. So now we plug in (6,y) Since we know x we can find y. y=1/2(6)+3 which gives us y=6. So y is 6.
Answer:
it is 1 2/10 but simplified to 1 1/5
Step-by-step explanation:
120 barrels x 12 quarts per barrel = 1440 total quarts
1440 quarts / 11 quarts per hour = 130.91 hours to fill all the barrels
1 day = 24 hours
130.91 hours / 24 hours = 5.45 days = 5.5 days
ratio of voljumes = 3^3 : 4^3 or 27:64
small/large = 27 / 64
vol of smaller = 27 * 320 / 64
=135
Assuming these are 4^(1/7), 4^(7/2), 7^(1/4) and 7^(1/2), the conversion process is pretty quick. the denominator, or bottom, of your fraction exponent becomes the "index" of your radical -- in ∛, "3" is your index, just for reference. the numerator, aka the top of the fraction exponent, becomes a power inside the radical.
4^(1/7) would become ⁷√4 .... the bottom of the fraction becomes the small number included in the radical and the 4 goes beneath the radical
in cases such as this one, where 1 is on top of the fraction radical, that number does technically go with the 4 beneath the radical--however, 4¹ = 4 itself, so there is no need to write the implied exponent.
4^(7/2) would become √(4⁷) ... the 7th power goes with the number under your radical and the "2" becomes a square root
7^(1/4) would become ⁴√7 ... like the first answer, the bottom of the fraction exponent becomes the index of the radical and 7 goes beneath the radical. again, the 1 exponent goes with the 7 beneath the radical, but 7¹ = 7
7^(1/2) would become, simply, √7
