Ok so you would start by getting rid of the fraction. You should know the steps for that by now but here this is what it would look like
3y/4+10=2y/4 Simplify
3y/4+10=1y/210=-1y I really simplified the last part but this is what it looks like:
- 
= -1y
10=-1yy=-10
Answer:
<u>They are perpendicular</u>
Step-by-step explanation:
Perpendicular lines have slopes that are negated versions of the other or positive versions of the slope of the other. The slopes are also flipped.
Parallel lines have the same slope.
Neither is when the lines do not follow either of these definitions.
The slope of your two lines are -3/2 and 2/3. These slopes are flipped and the opposite negations of each other. <u>This means the lines are perpendicular.</u>
<u />
Answer:
13 ft/s
Step-by-step explanation:
t seconds after the boy passes under the balloon the distance between them is ...
d = √((15t)² +(45+5t)²) = √(250t² +450t +2025)
The rate of change of d with respect to t is ...
dd/dt = (500t +450)/(2√(250t² +450t +2025)) = (50t +45)/√(10t² +18t +81)
At t=3, this derivative evaluates to ...
dd/dt = (50·3 +45)/√(90+54+81) = 195/15 = 13
The distance between the boy and the balloon is increasing at the rate of 13 ft per second.
_____
The boy is moving horizontally at 15 ft/s, so his position relative to the spot under the balloon is 15t feet after t seconds.
The balloon starts at 45 feet above the boy and is moving upward at 5 ft/s, so its vertical distance from the spot under the balloon is 45+5t feet after t seconds.
The straight-line distance between the boy and the balloon is found as the hypotenuse of a right triangle with legs 15t and (45+5t). Using the Pythagorean theorem, that distance is ...
d = √((15t)² + (45+5t)²)
Answer:
4(2k + j) = 8k + 4j
Step-by-step explanation:
4(2k + j)
Distribute in the 4.
4 * 2k + 4 * j
Multiply 4 and 2k.
8k + 4 * j
Multiply 4 and j.
8k + 4j
Answer:
Non-linear and decreasing so B
Step-by-step explanation:
It is non-linear as it is not a straight line
It's also going down so its decreasing
