That's the distance formula, which is the Pythagorean Theorem applied to the points.
The distance between (a,b) and (c,d) is 
a-c is the signed distance in the x direction between the points. b-d is the signed distance in the y direction between the points. Since the axes are perpendicular, these make a right triangle whose hypotenuse is the distance between the points.
Here that just means our distance is
Answer: B 4.1 units
Answer:The answer is 2 hope this helps!
Step-by-step explanation:
Answer:
Step-by-step explanation:
area square = side²
(3/5)²
√(1/16)
√(1/16)
√(1/16)
Answer:the binomial that is not a factor is x - 4
Step-by-step explanation:
The given polynomial is expressed as
P(x) = 3x^3 + 5x^2 - 4x - 4
The first step is to equate the polynomial to zero. It becomes
P(x) = 3x^3 + 5x^2 - 4x - 4 = 0
We would substitute each value of x into the polynomial. If the result is zero, then it is a factor.
1) x - 4 = 0, x = 4
Therefore,
3×4^3 + 5 × 4^2 - 4 × 4 - 4 = 0
384 + 80 - 16 - 4 = 444
2) x + 2 = 0, x = - 2
Therefore,
3 × -2^3 + 5 × -2^2 - 4 × -2 - 4 = 0
- 24 + 20 + 8 - 4 = 0
3) x = 1
Therefore,
3 × 1^3 + 5 × 1^2 - 4 × 1 - 4 = 0
4) 3x + 2 = 0
3x = - 2
x = - 2/3
Therefore
3 × (-2/3)^3 + 5 × (-2/3)^2 - 4 × (-2/3) - 4 = 0
Answer:
159.4
Step-by-step explanation:
I'm assuming that it's supposed to be 15x^3-12x^2 because when you copy and paste the "^" gets cut out
15*2.5^3 - 12*2.5^2 = 234.375 - 75 = 159.375
rounded is 159.4
