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3 years ago

Ecuaciones 5/3+2/4x=1/2

Mathematics

1 answer:

liubo4ka [24]3 years ago

5 0

I don't get what you meant

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A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters

In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

$\Rightarrow y=\sqrt{x^2+100}$

Differentiating with respect to t

$\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}$

$\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}$

Since the car driving towards the intersection at 13 m/s.

so, $\frac{dx}{dt}=-13$

$\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)$

Now

$\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)$

$=\frac{24\times (-13)}{\sqrt{676}}$

$=\frac{24\times (-13)}{26}$

= -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

8 0

3 years ago

How do I do this activity?

d1i1m1o1n [39]

In the X column put 1, 2, and 3

for the y column, plug in the 1, 2, or 3 into the X

for example, a) y=5x+3

x= 1, 2, 3 y=5(1)+3 = 8

y= 8, 13, 18

7 0

3 years ago

Need po ang answers ASAP nganong po exam namin

Sonja [21]

Opposite of the integers:
+56
+340
-39
-201
-1124

Solid figures:

Cube
Rectangular prism
Cylinder
Octahedron
Triangular pyramid

8 0

3 years ago

Solve the following quadratic equation for all value of c i'm simplest form <br> 5(x-2)^2=20

xz_007 [3.2K]

Answer:

x=-2 and x=0

Step-by-step explanation:

5(x-2)^2 = 20; divide by 5 both sides

(x-2)^2 = 4; take the square root of both sides

(x-2) = ±2, now set it equal to positive 2 and negative 2

x-2 = 2

x=4

AND

x-2 = -2

x=0

8 0

3 years ago

Read 2 more answers

You watch a football game. The team you cheer for loses 8 yards on four plays in a row. Which expression shows the total loss in

Gnom [1K]

Answer:

Lose 8 yards on four plays in a row

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3 years ago