Answer: 5400 miles
Step-by-step explanation:
there are 60 seconds in a minute so you multiply 15x60 to get 900 which is the amount of miles it travels a minute. Then, since it's 6 minutes, you multiply 900 by 6 to get 5400 miles
Answer:
The point slope form of this equation would be y - 0 = -2(x + 1)
Step-by-step explanation:
In order to find this, we start by identifying that the x-intercept at -1 is the point (-1, 0). Now we can use that full point and the slope and plug them into the base form of point-slope form.
y - y1 = m(x - x1)
y - 0 = -2(x - -1)
y - 0 = -2(x + 1)
Set the equations equal to each other.
132 +27x = 60x
132 = 33x
4 =x
4 months. Cost will be $240
Answer:
24 days
Step-by-step explanation:
The least common multiple (LCM) of 8 and 12 is 8·3 = 12·2 = 24.
The ladies will be at the nail salon on the same day again in 24 days.
_____
8 = 2³
12 = 2²·3
The LCM will have these factors to their highest powers: 2³·3 = 24.
__
The LCM is also the product divided by their greatest common factor (GCF). GCF(8, 12) = 4, so ...
LCM(8, 12) = 8·12/4 = 24
Answer:
a = 13 and b = 12-5i
Step-by-step explanation:
We need a common denominator
3+2i 5-i
---------- + ---------
3-2i 2+3i
(3+2i) (2+3i) (5-i)(3-2i)
------------------ + --------------------
(3-2i) (2+3i) (2+3i) (3-2i)
Foil the numerators
6 +4i+9i+6i^2 +15-3i-10i+2i^2
------------------ --------------------
(2+3i) (3-2i)
Combine like terms
21 +8i^2
------------------
(2+3i) (3-2i)
We know that i^2 = -1
21 +8(-1)
------------------
(2+3i) (3-2i)
21 -8
------------------
(2+3i) (3-2i)
13
------------------
(2+3i) (3-2i)
Foil the denominator
13
---------------
6 +9i -4i -6i^2
Combine like terms
13
----------------
6+ 5i -6(-1)
13
----------
12 +5i
We know have
13
-------------
12 + 5i
Multiply by the conjugate
13 ( 12-5i)
------------- * -------------
12 + 5i 12 -5i
13 (12-5i)
--------------
144 +25
13(12-5i)
-------------
169
12-5i
------------
13
The parentheses are (12-5i)/13
We need the reciprocal to make the equation become 1
which is 13/ 12-5i
a = 13 and b = 12-5i