Step-by-step explanation:
the distance can be seen as Hypotenuse of a right-angled triangle with its legs being the x and y coordinate differences.
so, we use Pythagoras
c² = a² + b²
with c being the Hypotenuse (the side opposite of the 90 degree angle).
distance² = (-10 - -3)² + (-9 - 8)² = (-7)² + (-17)² = 49+289 =
= 338
distance = sqrt(338) = sqrt(2×169) = 13×sqrt(2) =
= 18.38477631...
14 2/3
5
15/22
theses are probably wrong
Answer:
b
Step-by-step explanation:
Given y = x² then y = x² + c is a vertical translation of y = x²
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here c = - 12 < 0
Thus y = x² - 12 is the graph of y = x² shifted 12 units down → b
I think it is 0.14 or 0.24
49x^2 - 9 = 0
As there is no x term, we can pretty much guess we have a situation where we factlrise by something known aa difference of two squares, so to factorise it:
49 = 7^2
9 = 3^2
x^2 = (x)^2
so...
(7x - 3)(7x + 3) = 0
7x - 3 = 0 7x + 3 = 0
x = 3/7 x = -3/7
