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Rainbow [258]
2 years ago
14

Subtract: (–3x2 + 7 – 2x) – (6 + 7x – 4x2)

Mathematics
1 answer:
Aneli [31]2 years ago
5 0

The subtraction of the given expression will be (x²-9x +1).

<h3>What is subtraction?</h3>

The method of removing or deleting anything from the given set will be defined as subtraction. It is represented by the negative sign '-'.

The subtraction will be calculated as:-

E =  (–3x² + 7 – 2x) – (6 + 7x – 4x²)

Arrange the terms in the above expression.

E = ( -3x²+4x²-2x-7x-6+7)

E = ( x² - 9x + 1 )

Therefore the subtraction of the given expression will be (x²-9x +1).

To know more about subtraction follow

brainly.com/question/4721701

#SPJ1

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An airliner maintaining a constant elevation of 2 miles passes over an airport at noon traveling 500 mi/hr due west. At 1:00 PM,
butalik [34]

Answer:

\frac{ds}{dt}\approx 743.303\,\frac{mi}{h}

Step-by-step explanation:

Let suppose that airliners travel at constant speed. The equations for travelled distance of each airplane with respect to origin are respectively:

First airplane

r_{A} = 500\,\frac{mi}{h}\cdot t\\r_{B} = 550\,\frac{mi}{h}\cdot t

Where t is the time measured in hours.

Since north and west are perpendicular to each other, the staight distance between airliners can modelled by means of the Pythagorean Theorem:

s=\sqrt{r_{A}^{2}+r_{B}^{2}}

Rate of change of such distance can be found by the deriving the expression in terms of time:

\frac{ds}{dt}=\frac{r_{A}\cdot \frac{dr_{A}}{dt}+r_{B}\cdot \frac{dr_{B}}{dt}}{\sqrt{r_{A}^{2}+r_{B}^{2}} }

Where \frac{dr_{A}}{dt} = 500\,\frac{mi}{h} and \frac{dr_{B}}{dt} = 550\,\frac{mi}{h}, respectively. Distances of each airliner at 2:30 PM are:

r_{A}= (500\,\frac{mi}{h})\cdot (1.5\,h)\\r_{A} = 750\,mi

r_{B}=(550\,\frac{mi}{h} )\cdot (1.5\,h)\\r_{B} = 825\,mi

The rate of change is:

\frac{ds}{dt}=\frac{(750\,mi)\cdot (500\,\frac{mi}{h} )+(825\,mi)\cdot(550\,\frac{mi}{h})}{\sqrt{(750\,mi)^{2}+(825\,mi)^{2}} }

\frac{ds}{dt}\approx 743.303\,\frac{mi}{h}

6 0
3 years ago
Which of the following expressions is equivalent to 4n + 8
adelina 88 [10]

Answer:

You have to give us the other expressions :)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
In circle S with m ∠ R S T = 98 m∠RST=98 and R S = 4 RS=4 units, find the length of arc RT. Round to the nearest hundredth.
user100 [1]

Answer:6.84

Step-by-step explanation:

:)

7 0
2 years ago
YOOO PLEASE HELPPPP!!!!
Evgesh-ka [11]

Given:

Base length of triangle = 40 units

Height of triangle = 9 units

Length of hypotenuse of triangle = 41 units

To find:

Find the value of Tan A

Steps:

Tan of an angle is equal to the opposite length by adjacent length.

So,

Tan A = \frac{opposite}{adjacent}

Tan A = \frac{9}{40}

Tan A = 0.225

Therefore, the exact value of Tan A is 0.225.

Happy to help :)

If you need any help, feel free to ask

4 0
2 years ago
The moon is a sphere with radius of 959 km. Determine an equation for the ellipse if the distance of the satellite from the surf
Sergeeva-Olga [200]

Answer:

\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1

Step-by-step explanation:

An ellipse is the locus of a point such that its distances from two fixed points, called foci, have a sum that is equal to a positive constant.

The equation of an ellipse with a center at the origin and the x axis as the minor axis is given by:

\frac{x^2}{b^2}+\frac{y^2}{a^2} =1 \\\\where\ a>b

Since the distance of the satellite from the surface of the moon varies from 357 km to 710 km, hence:

b = 357 km + 959 km = 1316 km

a = 710 km + 959 km = 1669 km

Therefore the equation of the ellipse is:

\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1

5 0
3 years ago
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