Answer:
the answer to #9 is (½, 1½)
Step-by-step explanation:
to find the midpoint, you need to use the midpoint formula
the midpoint formula is (x₁ + x₂ / 2 , y₁ + y₂ / 2)
for #9 you have to plug in the appropriate numbers in the formula
(-4 + 5 / 2 , 4 - 1 / 2)
(½ , 1½)
Answer:
x≤-3 2 ≤x<7
Step-by-step explanation:
(x^2+x-6) /(x-7) ≤0
Factor the numerator
(x+3)(x-2) / (x-7)≤0
Critical points are
X =-3 X =2 X=7
We need to check the values when
x≤3 -3 ≤ x≤2 2 ≤x<7 x>7
(x cannot be 7 because then the denominator is zero)
and see when it is less than 0
Substitute a value in and see if factor is positive or negative
x≤-3
(negative)(negative) / (negative) = negative
-3 ≤x≤2
(positive)(negative) / (negative) = positive this range does not work
2 ≤x<7
(positive)(positive) / (negative) = negative
x>7
(positive)(positive) / (positive)
Answer:
50%
Step-by-step explanation: A box plot demonstrates how data is concentrated. Since the middle of the box in a box plot represents the median of the data, the box encompasses half of the data points.
V=(1/3)hpir^2
v=130
h=13
r=x
130=(1/3)(13)pix^2
times both sides by 3
390=13pix^2
divide both sides by 13
30=pix^2
divide both sides by pi
30/pi=x^2
sqrt both sides
x≈3.09
radius is abou 3 units
The whole number is 10 the square root is 9
