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2 years ago

Which two expressions are equivalent?

Mathematics

2 answers:

serg [7]2 years ago

5 0

Answer:

The First one and the third one

Step-by-step explanation:

All you have to do is the distributive property and multiply 7 times 3x and 7 times 2 to get 21x + 14. Then you add like terms for the third one and get x2+5.

Do this help? :)

Mnenie [13.5K]2 years ago

4 0

Answer:

I believe it's the first one

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10.4 sweets cost 28p altogether, how much much do 7 sweets cost

Serjik [45]

28/10.4=2.69
2.69*7=18.83

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3 years ago

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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.

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3 years ago

What is the following sum? 4(5√x^2 y) +3(5√x^2 y)

Levart [38]

the answer is 35 x √ 2 y

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4 years ago

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1.Define phase shift. Could every sine function be expressed as a phase shifted cosine function? Explain.

Ann [662]

A phase shift is defined as the amount of x by which sinusoid is shifted to the left or right.

And yes, every sine function be expressed as a phase shifted cosine function:

sin(t)=cos(90-t)

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

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3 years ago

What two numbers multiply to -36 and add up to -9

Softa [21]

Answer:

-12,3

Step-by-step explanation:

-12×3=-36

-12+3=-9

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3 years ago