Answer:
a=2
Step-by-step explanation:
-15a-19-35=-84
-15a-19=-49
-15a=-30
a=2
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)
8/7 as an improper and 1 and 1/7 for proper.
Answer:
D (0, 2)
General Formulas and Concepts:
<u>Algebra I</u>
The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
y = 3/4x + 2
<u>Step 2: Break Function</u>
<em>Identify Parts</em>
Slope <em>m</em> = 3/4
y-intercept <em>b</em> = 2
Answer:
No, you can't form a triangle because angles in a triangle add up to 180 degrees.
Step-by-step explanation:
100+50+50= 200 degrees, which means that you cant form a triangle with these measurements because angles in a triangle have to add up to 180 degrees.
