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xxTIMURxx [149]
2 years ago
5

An object is shot vertically upward from the ground with an initial velocity of 288 ft/sec. (a) At what rate is the velocity dec

reasing? Give units.
Mathematics
1 answer:
goblinko [34]2 years ago
6 0
The rate at which an object shot vertically upwards is degresing is the accerelation due to gravity given by g=9.8m/s^2

Therefore, Given that an object is shot vertically upward from the ground with an initial velocity of 288 ft/sec, the <span>rate at which the velocity decreasing is </span>g=9.8m/s^2.
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What is the equation in point slope form of the line passing through (0,5) and (-2,11)
IRISSAK [1]

The equation of the line passing through (x_1,y_1) and (x_2,y_2) is

\frac{x-x_1}{y-y_1} =\frac{x_2-x_1}{y_2-y_1}. Here

\frac{y_2-y_1}{x_2-x_1} is the slope of the line.

Substituting numerical values, the equation of the line is

\frac{x-0}{y-5} =\frac{-2-0}{11-5} \\ \frac{x}{y-5} =-\frac{1}{3} \\ 3x=5-y\\ 3x+y=5

The equation of the line is 3x+y=5

6 0
3 years ago
about travels in the following path. How far north did it travel? Round your answer to the nearest 10th of a mile
SCORPION-xisa [38]

Answer:

19.1 miles

Step-by-step explanation:

The situation given represents a right triangle.

Thus, we would use trigonometric function to find how far north the boat travelled.

Let's represent how far the boat travelled north with "x".

Thus:

Reference angle = 23°

Opposite = x

Adjacent = 45 miles

Apply TOA:

Tan 23° = Opp/Adj

Tan 23° = x/45

Multiply both sides by 45

45 × Tan 23° = x

x = 45 × Tan 23°

x = 19.1013667

x = 19.1 miles (nearest tenth of a mile)

5 0
2 years ago
I need help with this ?
algol [13]

Answer:

[ - 2, - 7 ]

Step-by-step explanation:

8 0
2 years ago
Solving Systems of Equations by Substitution<br><br> y=1/2x+5<br><br> y=-3/2x-7
DerKrebs [107]
\left\{\begin{array}{ccc}y=\frac{1}{2}x+5\\y=-\frac{3}{2}x-7\end{array}\right\\\\subtitute:\\\\\frac{1}{2}x+5=-\frac{3}{2}x-7\ \ \ \ |subtract\ 5\ from\ both\ sides\\\\\frac{1}{2}x=-\frac{3}{2}x-12\ \ \ \ |add\ \frac{3}{2}x\ to\ both\ sides\\\\\frac{4}{2}x=-12\\\\2x=-12\ \ \ \ |divide\ both\ sides\ by\ 2\\\boxed{x=-6}\\\\subtitute\ value\ of\ "x"\ to\ first\ equation:\\\\y=\frac{1}{2}\cdot(-6)+5=-3+5=\boxed2\\\\Answer:\boxed{\boxed{x=-6\ and\ y=2}}
4 0
3 years ago
Mr. Smith and Mr. Stein were driving to a business meeting to 70 miles from their office. Mr. Smith drove the first y miles, the
Colt1911 [192]

Question:

Write an algebraic expression for how many miles Mr.Stein drove.

Answer:

(70 - y) miles

Step-by-step explanation:

Given

Distance to business meeting from office = 70 miles

Mr. Smith drove the first y miles

Let x = the remains distance driven by Mr. Stein

x + y = 70 ---- Make x the subject of formula

x = 70 - y

So, the expression is (70 - y) miles

5 0
3 years ago
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