Solve the following system of equations:

x + 3y = −4
x + 5y = −6

(1, 1)
(−1, 1)
(1, −1)
(−1, −1)

Solution :

From the triangle,

[tex]$x^2 = s^2 + 90^2$[/tex]

[tex]$x = \sqrt{s^2 + 90^2}$[/tex]

Now differentiating w.r.t "t", we get

[tex]$\frac{dx}{dt}=\frac{d}{dt}\left(s^2 +90^2 \right)^{1/2}$[/tex]

    [tex]$=\frac{1}{2}\left(s^2 + 90^2 \right)^{\frac{1}{2}-1} \cdot 2s \cdot \frac{ds}{dt}$[/tex]     [chain rule]

    [tex]$=\frac{1}{2}\left(s^2 + 90^2 \right)^{-\frac{1}{2}} \cdot 2s \cdot \frac{ds}{dt}$[/tex]

    [tex]$=\frac{s}{\left(s^2 + 90^2\right)^{\frac{1}{2}}} . \frac{ds}{dt}$[/tex]  

But given that [tex]$\frac{ds}{dt}$[/tex] = 100 ft/s

When all the ball crosses the third base, this means that s = 90. So substituting the value of s and [tex]$\frac{ds}{dt}$[/tex]  in [tex]$\frac{dx}{dt}$[/tex] , we get

[tex]$\frac{dx}{dt} = \frac{90}{\left(90^2 +90^2\right)^{1/2}} \times 100$[/tex]

[tex]$\frac{dx}{dt} = \frac{90}{\sqrt{8100+8100}} \times 100$[/tex]

[tex]$\frac{dx}{dt} = 50\sqrt2$[/tex]

    = 70.710 ft/s    

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Answer:

-8/10, -3/16, 3/16

Step-by-step explanation:

Answer:

here is your answer....

(1001)^3

(1000+1)^3

1000^3+3*1000^2*1+3*1000*1^2+1^3

1000000000+3*1000000+3*1000+1

1000000000+3000000+3000+1

ans: 1003003001 ..

I hope this will help you...

Answer:

                                                          _

just did the test and got it right its /x + 2

Step-by-step explanation:

just did the test i cant make the simble though but the right answer is the one where the line is only above the x oh wait actually i see your questions know my delete key broke soooo its the 2nd option

Answer:

-1.23

Step-by-step explanation:

-0.3 x 4.1 = -1.23.

A negative number times a positive number equals a negative number.

Answer:

C

Step-by-step explanation:

Answer:

1 5/6 miles

Step-by-step explanation:

5 1/2 divided by 3

Turn 5 1/2 into improper fraction

Keep, change, flip

(Keep the first fraction as is, change the multiplication sign to division sign, flip the last fraction)

New problem

11/2*1/3=11/6=1 5/6

1 5/6

Hope this helped!!! :)

Stay safe a have a wonderful day/night/afternoon!!!

Brainliest?!?!

Answer:

they are dependent

Step-by-step explanation:

Answer:

There are 9838.5 feet in 3 kilometers.

Step-by-step explanation:

Given that:

There are 1.61 kilometer in a mile.

1 mile = 1.61 km

Also,

1 mile = 5280 feet

Comparing,

1.61 km = 5280 feet

1 km = [tex]\frac{5280}{1.61}[/tex] feet

1 km = 3279.50

3 km = 3279.50 * 3

3 kilometers = 9838.5 feet

Hence,

There are 9838.5 feet in 3 kilometers.

A distance of 3 kilometers is equal to 9,838.5 feet.

Given to us:

1 miles = 1.61 kilometers,

1 miles = 5,280 feet,

from the above to equations we can conclude,

[tex]1\ miles = 1.61\ kilometers = 5,280\ feet\\ 1.6\;kilometers = 5,280\ feet\\\\1\ kilometers =\dfrac{ 5,280\ feet}{1.61} \\\\1\ kilometers = 3,279.5\ feet[/tex]

So, now for 3 kilometers we can conclude that,

[tex]1\ kilometers = 3,279.5\ feet\\3\ kilometers = (3,279.5\times3)\ feet\\3\ kilometers = 9,838.5\ feet[/tex]

Hence, A distance of 3 kilometers is equal to 9,838.5 feet.

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Answer:

a=81

b=124

c=81

d=27

e=99

X=34

y=56

z=43

Answer:

x=56

y=56

b=124

z=43

a=81

c=81

e=99

Answer:

y=⅘x-2

Step-by-step explanation:

8x-10y=20

-10y=-8x+20

y=⅘x-2

Answer:

1

3

130

Step-by-step explanation:

as shown on the lines, it takes the bird one second to fly 13 meters. the answer to the first blank is 1

using this ratio, 13 meters per second, we can find how long it takes for the bird to fly 39 meters.

13/1=39/x

this is 13x=39

x=3 seconds

use the same ratio to find distance

13/1=x/10

13=x/10

130=x

Answer:

15.7

Step-by-step explanation:

3.14=pi

Circumference= pi × Diameter

5×3.14= 15.7

Answer:

C. 3/40 is the answer

Step-by-step explanation:

1/10×3/4

=3/40

Answer: x=-1, y= -3

Step-by-step explanation:

1.substitute y for -3

[2x-(-3)=1]

2.simplify

[2x+3=1]

3. Isolate x for 2x+3

x= -1,y=-3

Answer:

abcdefghijklmnop

Step-by-step explanation:

qrstuvwxy and z

Answer:

y axis (X,Y) -> (-X,Y)

Answer:

3/5 * 5/3

Step-by-step explanation:

It equals 1

Answer:

i got you fam

Step-by-step explanation:

see ya

Answer:

THE SECOND ONE

Answer:

80

Step-by-step explanation:Solution:

step 1 Address the formula, input parameters & values.

Input parameters & values:

The given numbers are 78 & 80

step 2 Find the sum of the given two numbers.

sum = 78 + 80 = 158

step 3 Divide the sum by 2 to get the average.

average = 158/2

= 79

Thus, 79 is an average of positive integers 78 and 80.

Answer:

x=1

Step-by-step explanation:

Answer:

252 square feet

Step-by-step explanation:

Answer:

The answer is 5

Step-by-step explanation:

I hope this helps

Answer:

The constant of variation.

The value that Mrs. Alvarez will pay depends on the rental value of the ski and the poles per day, for example $144.

To know the total cost of the loan of the Ski equipment, we must know the loan price per day or per hour.

For example, suppose the loan price per hour is $2, then we would have to calculate how much one day is equivalent to and then multiply it by the total number of days.

$2 x 24 = $48

$48 x 3 = $144

Note: This question is incomplete because some information is missing. However I can answer it based on my general prior knowledge.

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Answer:

12

Step-by-step explanation:

[tex]-2\sqrt{6x+3} = -18[/tex]

divide both sides by negative 2

[tex]\sqrt{6x+3} = 9[/tex]

square both sides

6x+3=81

6x=78

x=12

Answer:

y=4/3x+0

Step-by-step explanation:

slope intercept form works right?

y=mx+b

the m is the slope, and the problem gives us the slope. (4/3)

the b is the y intercept (where the line goes through the y) so on our coordinates, the second number is the y, so we have y=4/3x+b

HTH!!