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2 years ago

Write an algebraic expression for the word expression.

Mathematics

1 answer:

kolbaska11 [484]2 years ago

3 0

Answer:

3 + x

Step-by-step explanation:

Sum means to add, so you would just add 3 and x (since they haven't given an actual number and only a variable).

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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

2 years ago

Consider two bases B = {b1, b2, b3} and C = {c1, c2, c3} for a vector space V such that

Helen [10]

I’m a failure if you can just say “yes you are” in the comments

3 0

2 years ago

Find the volume of this square pyramid

oksano4ka [1.4K]

Answer:

216

Step-by-step explanation:

5 0

3 years ago

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Please i beg u help me, this will mean a lot!

slega [8]

Answer:

Step-by-step explanation:

Mode is the number that appears the most

3 0

2 years ago

Find x.<br> I had been stuck on this one for awhile

Arlecino [84]

Answer:

34 degrees

Step-by-step explanation:

ok so 180-111=69

then the opposite angle from 37 is also 37

the the missing angle from the left triangle has to be 103

so then the angle below x is 77

and so we know x = 34 degrees

I hope that made sense.

4 0

2 years ago