Answer:
x - 3 = 0
Step-by-step explanation:
You can realise it plotting the points.
Or you can use : ( x - x1 ) / ( y - y1 ) = ( x1 - x2 ) / ( y1 - y2 )
where ( x1 , y1 ) and ( x2 , y2 ) are the given points.
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:
length is 28.86ft
width= 4.12ft
Step-by-step explanation:
<h2>
This problem bothers on the mensuration of solid shapes, a rectangular prism.</h2>
The storage space takes the shape of a rectangular prism, and we are required to find the width and length of the storage space.
let the width of the basement be "w"
Given data
volume v=
length l =
width w=
height h=
We know that the expression for the volume of a rectangular prism is
substituting our data we have to find "w"
dividing both sides by 35 we have
find the square root of both sides we have
since we know that length= 7w and width = w , we can substitute our value for w and find the length and width
To answer this question you you start by writing the equation. (2*64)+(4*48)= Next, you answer the first parenthesis: 2 times 64... this is 128....now you have 128+(4*48)=... now you answer the next set of parenthesis.... 4 times 48....this is 192...now you have 128+192=.....this is 320...............So the answer to your question is sandys pitcher can hold 320 ounces alltogether.