Answer:
(9, 6)
Step-by-step explanation:
the given points are
(3, 2)
(6, 4)
so, can you see, how the sequence continues ?
I see immediately that for every 3 additional units of x we add 2 units of y.
so, yes, the next point in the sequence is
(6 + 3, 4 + 2) = (9, 6).
so, this point (or ordered pair) follows the same ratio or proportional relationship between x and y as the points already in the graph.
in other words, they are on the same line following the same slope ("y coordinate change / x coordinate change" when going from one point on the line to another).
Answer:
A- 7.4 ⋅ 10−4 mm
Step-by-step explanation:
Well, to solve this problem, we must convert the number and / or the units in a more imaginable one.
We are given two choices:
a. 7.4 x 10^-4 mm
b. 7.4 x 10^4 mm
Converting the units and numbers into meters and general form, respectively. (What is meant by general form is not to write it in scientific notation).
a. 7.4 x 10^-4 mm (1 m / 1000 mm) = 0.00000074 m
b. 7.4 x 10^4 mm (1 m / 1000 mm) = 74 m
Now comparing the two values above, what do you think is the distance between the tracks on a DVD? Definitely NOT 74 m or else the DVD is extremely big. Therefore the correct is the smaller one.
Answer:
Pam 6
Tia 8
Veronica 11
Lily 15
Step-by-step explanation:
Tia's age = 8
Pam's age = Tia's age - 2
8 - 2 = 6
Veronica = pam's age + 5
6 + 5 = 11
Lily's age = veronica's age + 4
11 + 4 = 15
Okay, so since both y values share the same number, let's add both equations so the y values cancel out leaving us to solve for x.
10x+(-5x)=5x
7y+(-7y)=0
1+24=25
Now we have 5x=25
divide both sides by 5 and we have x=5
Now that we know x=5, we can plug it into one of the problems to find y.
Let's do 10(5) +7y=1
50+7y=1 subtract 5 and we get 7y=-49
divide -7 from both sides and we get y=-7
so there you have it x=5 and y=-7