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3 years ago

Can u combine 3xy with 3y

Mathematics

2 answers:

Wewaii [24]3 years ago

3 0

Can the answer is 6 xy2

Triss [41]3 years ago

3 0

No because the bases aren't the same 3xy doesn't have the same base as 3y. The x is not shown in both set of givens.

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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

Please answer the question in the picture!

Sliva [168]

Answer will be option 2nd.

S(-4,7), T(-7,0), U(-1,0)

4 0

3 years ago

the blueprint for landscaping a yard has a scale of 1/2" to1 foot. if the blueprint is a rectangle 18 inches by 22 inches,what a

bazaltina [42]

If one foot in real is 1/2 inches, then 1 inch in a blueprint is 2 feet. So a rectangle 18 by 22 inches will represent 18 * 2 by 22 * 2 feet in real. So the size of the yard is 36 by 44 feet.

7 0

3 years ago

What is 625/1000 in the simplest form

Tatiana [17]

Your answer is 25/40 hope this helps ;)

3 0

3 years ago

Read 2 more answers

The length of a rectangle is 18 centimeters less than five times it's width. It's area is 35 square centimeters. I need to find

Fiesta28 [93]

$\frac{(5x-18)(x)}{2} =35$
$(5x-18)(x)=70$
$5x^2-18x-70=0$
By the time you factorize this, you will get
x = 5.9521078984053 or <span>-2.3521078984053
</span>Please mark me as brainliest.

4 0

3 years ago