¹/₃(33x + 15) - ¹/₃(21x + 18) = 10
¹/₃(33x) + ¹/₃(15) - ¹/₃(21x) - ¹/₃(18) = 10
11x + 5 - 7x - 6 = 10
11x - 7x + 5 - 6 = 10
4x - 1 = 10
+ 1 + 1
4x = 11
4 4
x = 3³/₄
(x-5)(x+2)=0
roots: x=5 and x= -2
see attached photo for steps
Answer:
y = 
x + 7
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
y - 8 = - 
(x + 5) ← is in point- slope form
with m = -
given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
=
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept ) , then
y = x + c ← is the partial equation
to find c substitute (- 6, - 2 ) into the partial equation
- 2 = - 9 + c ⇒ c = - 2 + 9 = 7
y = x + 7 ← equation of line K
Answer:
0.86
Step-by-step explanation:
Rounding rules.
4 and below, round down.
5 and above, round up.
We are going to look at the thousandths place to round to the hundredths place.
0.857 -> 0.86
Best of Luck!
Answer:
-1,331m¹⁸n¹⁵p²¹ = (-11m⁶n⁵p⁷)³
Step-by-step explanation:
The cube root of 1452 is about 11.32371348.... It is not a perfect cube. The cube root of 1331 is 11, so the cube root of -1331 is -11. Either way, the number ±1331 is a perfect cube.
In order for the constellation of variables to be a perfect cube, all the exponents need to be multiples of 3. 22 is not a multiple of 3.
These criteria eliminate the 1st, 3rd, and 4th answer choices, leaving only the 2nd choice.
