<span>1- What is the distance formula?
distance = </span>√(x2-x1)² + (y2-y1)²<span>
2- plug in the correct values from the problem, write the diatance formula with substituted values
</span>distance = √(4-(-3))² + (-6-5)²
<span>
3- simplify the expression, what is the distance between the two points?
distance = </span>√170 = 13.04
Answer:
y = 1
Step-by-step explanation:
y is inversely proportion to x means that ,
y ∝ 1/x or ,

When we remove the proportionality sign we get,

now we know the point is (2 , 3) which means it corresponds to (x , y) which furthermore means y=3 when x=2,
so we insert these values and get the value of k.

now the equation becomes,

now we need to find y when x is 6 so just replace x with 6

so we get the value of y is 1
Step-by-step explanation:
1 litre = 1000ml
780ml left
lost amount = 1000 - 780 = 220ml
Using the formula for the nth term of an arithmetic progression.
an = a + (n - 1)d
a(4) = a + 3d = 55
a(9) = a + 8d = 90
a(9) - a(4) => 5d = 35
d = 35/5 = 7.
From a(4): a = 55 - 3d = 55 - 3(7) = 55 - 21 = 34
a(2) = a + d = 34 + 7 = 41.
Answer:
Equation C: 5/8x + 2..5 = 3/8x + 1.5 + 1/4x
Step-by-step explanation:
Let us go through each of the equations one by one.
Equation A: 
This simplifies to

which has infinitely many solutions.
Equation B: 
this simplifies to


which is exactly one solution.
Equation C: 
this simplifies to


There's no way this is going to be possible; this equation has no solutions.
Equation D: 
this gives


which is exactly one solution.
Thus we see that it is equation C that has no solutions.