Answer: (-2, 1), (-4, -3)
Step-by-step explanation:
y = x² + 8x + 13
y = 2x+5
x² + 8x + 13 = 2x+5
x² + 6x + 13 = 5
x² + 6x + 8 = 0
x² + 2x + 4x + 8 = 0
(x+2)(x+4)=0
<u>x=-2 or x=-4</u>
y=2(-2)+5
y=-4+5
<u>y=1</u>
y=2(-4)+5
y=-8+5
<u>y=-3</u>
Answer:
7238 cm³
Step-by-step explanation:
The radius of the great circle is the radius of the sphere.
The formula for the volume of a sphere is
V = ⁴/₃πr³
V = ⁴/₃π (12)³ = ⁴/₃π × 1728 = 2304π cm³ ≈ 7238 cm³
Answer: Hello there!
initially Maria has 6 red marbles, 6 blue marbles, and 4 green marbles.
You know that in the first pick, Maria gets a green marble ( this means that now there are 3 green marbles left)
Now we want to know the probability that she gets a red marble on the second pick.
Now there are 6 + 6 + 3 = 15 marbles in the bag, and 6 of them are red ones. Then the probability of getting one red is the number of red ones divided by the total amount ( which is the ratio of red marbles to total marbles)
this is 6/15.
now you can see that there is no 6/15 in the options, so we need to see which one is equivalent.
if we took the option C, 2/5, and multiply both denominator and numerator by 3, we get (3*2)/(3*5) = 6/15, then 2/5 and 6/15 are equivalents.
Then the correct answer is C.
Step-by-step explanation:
Answer:
1 1/2 cups
Step-by-step explanation:
