Aa, b bb, and c cc are collinear, and b bb is between a aa and c cc. the ratio of a b aba, b to b c bcb, c is 3 : 1 3: 13, colon, 1. if a aa is at ( − 7 , 3 ) (−7,3)left parenthesis, minus, 7, comma, 3, right parenthesis and b bb is at ( − 1 , 0 ) (−1,0)left parenthesis, minus, 1, comma, 0, right parenthesis, what are the coordinates of point c cc?

  C = (1, -1)

Step-by-step explanation:

For that 3:1 division, the calculated value of point B is ...

  B = (3C +1A)/(3+1)

Solving for the value of C, we find ...

  4B = 3C + A . . . . multiply by 4

  4B -A = 3C . . . . . subtract A; next divide by 3.

  C = (4B -A)/3 = ((4(-1)-(-7))/3, (4(0)+-3)/3) . . . . substitute given values

  C = (3/3, -3/3) . . . . simplify a bit

  C = (1, -1)

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.