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sveticcg [70]
3 years ago
13

Solve the system by substitution. -9x – 2y = -44 8x – 3 = y

Mathematics
1 answer:
nlexa [21]3 years ago
6 0

Answer:

x = 2, y = 13

(2, 13)

Step-by-step explanation:

hope this helps!

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A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at
vitfil [10]

Complete question

A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at 7 meters per minute. At a certain instant, the bottom of the ladder is 21 meters from the wall.

What is the rate of change of the distance between the bottom of the ladder and the wall at that instant(in meters per minute)

Answer:

\frac{dx}{dt}=11.94m/min

Step-by-step explanation:

From the question we are told that

Slant height z=29m

Change in Vertical height  \triangle y=7m/s

Horizontal length x=21

Generally in finding the distance form the  top to the bottom of the wall it is mathematically given by

 x^2+y^2=z^2

 21^2+y^2=29^2

 y^2=29^2+21^2

 y=35.81

Generally solving for the differential equation is mathematically represented as

 x^2+y^2=29^2

 2x*\frac{dx}{dt} +2y*\frac{dy}{dt} =0

 x*\frac{dx}{dt} +y*\frac{dy}{dt} =0

 (21)*\frac{dx}{dt} +(35.81)*(-7) =0

 (21)*\frac{dx}{dt} -250.64 =0

 \frac{dx}{dt}=\frac{250.64}{21}

 \frac{dx}{dt}=11.94m/min

5 0
3 years ago
Jason's boat can travel 24 3/4 miles in 1/2 hour. What is his average speed in miles per hour ?
Papessa [141]
49 and a half miles an hour.
4 0
3 years ago
Read 2 more answers
A car is moving at a fixed speed. The distance D that the car covers is then directly proportional to the time T it moves.
worty [1.4K]

We were told that the distance D is directly proportional to the time T.

We write this mathematically as,

D\propto T


We can now introduce our constant of variation and write the equation for the direct equation as;


D=kT


where k is the constant of variation or constant of proportionality.


We substitute D=20 and T=15, in to the equation of variation to obtain the constant of proportionality.


That is;


20=k\times15



This implies that,




\frac{20}{15}=k


This simplifies to give us,




k=\frac{4}{3}


Now our equation of proportion becomes,



D=\frac{4}{3}


When T=20



D=\frac{4}{3}\times20


D=\frac{80}{3}

Writing this as a mixed number we obtain,

D=26\frac{2}{3}

This can also be rewritten as

D=26.67 correct to one decimal places.


Therefore the care covers 26.67 miles in 20 minutes.





6 0
3 years ago
2+2 +4+7 x8 =<br> these are points anyone can have i know the answer already
BlackZzzverrR [31]
2 plus 2 is 4

4 plus 4 8

8 + 7 15

15 x 8 is 120

Hope this helps

-Zayn Malik
6 0
3 years ago
Read 2 more answers
(look at image) can i get help with this?
navik [9.2K]

Answer:

m∡A = 14

m∡B = 76

Step-by-step explanation:

Two Angles are Complementary when they add up to 90 degrees.

So 3x -7 + 11x - 1 = 90, which we can solve.

14x - 8 = 90

14x = 98

x = 98/14 = 7

with the knowledge of x=7, we can find the angles:

m∡A = 3·7 - 7 = 14

m∡B = 11·7 - 1 = 76

Supplementary angles are angles that add up to 180 degrees, so the next assignment is very comparable, try it!

4 0
3 years ago
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