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2 years ago

Expression z divide by 5 then add 3

Mathematics

1 answer:

DaniilM [7]2 years ago

5 0

Answer:

Step-by-step explanation:

First choose a variable to represent the number,

Let's call it

We need to divide that number by

is how you write it as an expression.

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Write an inequality for the graph. Then, in words, describe all the values of that make the inequality true.

kow [346]

-3 > x

The values that make this inequality true are those that are less than -3. The inequality does not include -3.

7 0

2 years ago

The triangles are congruent by SSS.

Marysya12 [62]

Answer:

a and d

Step-by-step explanation:

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8 0

3 years ago

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A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station. Find the ra

Anika [276]

Answer:

The rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

Step-by-step explanation:

Given information:

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station.

$z=1$

$\frac{dx}{dt}=430$

We need to find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

$y=2$

According to Pythagoras

$hypotenuse^2=base^2+perpendicular^2$

$y^2=x^2+1^2$

$y^2=x^2+1$ .... (1)

Put z=1 and y=2, to find the value of x.

$2^2=x^2+1^2$

$4=x^2+1$

$4-1=x^2$

$3=x^2$

Taking square root both sides.

$\sqrt{3}=x$

Differentiate equation (1) with respect to t.

$2y\frac{dy}{dt}=2x\frac{dx}{dt}+0$

Divide both sides by 2.

$y\frac{dy}{dt}=x\frac{dx}{dt}$

Put $x=\sqrt{3}$ , y=2, $\frac{dx}{dt}=430$ in the above equation.

$2\frac{dy}{dt}=\sqrt{3}(430)$

Divide both sides by 2.

$\frac{dy}{dt}=\frac{\sqrt{3}(430)}{2}$

$\frac{dy}{dt}=372.390923627$

$\frac{dy}{dt}\approx 372$

Therefore the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

6 0

3 years ago

-5.73q = 97.41 q= please help me???

jek_recluse [69]

First Divide both sides by -5.73

-5.73q/-5.73=97.41/-5.73

Answer: q=-17

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3 years ago

I am not getting this math?<br>

gladu [14]

Answer:

100

Step-by-step explanation:

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2 years ago

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