Answer:
associative prop
Step-by-step explanation:
The rock's height is increasing in the interval from 0 seconds to 3 seconds.
At time 0 the rock starts moving upward from 52 foot until it reachs 180 foot height (time 3 seconds). Then the rock starts to descend, which means that the height starts to decrease.
Answer:
k = 4
Step-by-step explanation:
Hello!
3k + 16 = 8 + 5k
Subtract 3k from both sides
16 = 8 + 2k
Subtract 8 from both sides
8 = 2k
Divide both sides by 2
4 = k
The answer is 4
Hope this Helps!
Answer:
2x + 3y = 12 Is the standard form for linear equations. To determine the slope, solve the equation for y in order to convert to the slope - intercept from7 y = mx + b where is m the slop and b is the y - intercept.
2x + 3y = 12
subtract 2x from both sides.
3y = -2x + 12
Divide both sides by 3.
y= - 2/3 x + 12/3 =
y= - 2/3x + 4
The slope is - 2/3
The radical equation is

.
i) We first isolate the square root, adding 5 to both sides of the equation:

ii) Here let's substitute x+6 with t. Doing so we have:

Squaring both sides, we get:

iii) Collecting the variables on the same side, and factorizing t we have:

, which yields
t=0 or t=1.
Now we solve for x in x+6=t:
x+6=0 ⇒x=-6 and x+6=1⇒x=-5.
iv) Now we check these values in the original equation

:
a)

⇒ 0=0 ; Correct.
b)

⇒ 1=1 ; Correct.
Answer: <span>x = −6 and x = −5 </span>