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3 years ago

Which of the following expressions are equivalent to 4x-8?

Mathematics

2 answers:

slamgirl [31]3 years ago

5 0

Answer:

B) & D)

Step-by-step explanation:

elena-14-01-66 [18.8K]3 years ago

3 0

B & D it’s all equal out to the same answer

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Using the principle of mathematical induction, show that 41^n-14^n is a multiple of 27

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2 years ago

A plane flying horizontally at an altitude of 3 miles and a speed of 500 mi/h passes directly over a radar station. Find the rat

konstantin123 [22]

Answer:

The rate at which the distance from the plane to the station is increasing is 331 miles per hour.

Step-by-step explanation:

We can find the rate at which the distance from the plane to the station is increasing by imaging the formation of a right triangle with the following dimensions:

a: is one side of the triangle = altitude of the plane = 3 miles

b: is the other side of the triangle = the distance traveled by the plane when it is 4 miles away from the station and an altitude of 3 miles

h: is the hypotenuse of the triangle = distance between the plane and the station = 4 miles

First, we need to find b:

$a^{2} + b^{2} = h^{2}$ (1)

$b = \sqrt{h^{2} - a^{2}} = \sqrt{(4 mi)^{2} - (3 mi)^{2}} = \sqrt{7} miles$

Now, to find the rate we need to find the derivative of equation (1) with respect to time:

$\frac{d}{dt}(a^{2}) + \frac{d}{dt}(b^{2}) = \frac{d}{dt}(h^{2})$

$2a\frac{da}{dt} + 2b\frac{db}{dt} = 2h\frac{dh}{dt}$

Since "da/dt" is constant (the altitude of the plane does not change with time), we have:

$0 + 2b\frac{db}{dt} = 2h\frac{dh}{dt}$

And knowing that the plane is moving at a speed of 500 mi/h (db/dt):

$\sqrt{7} mi*500 mi/h = 4 mi*\frac{dh}{dt}$

$\frac{dh}{dt} = \frac{\sqrt{7} mi*500 mi/h}{4 mi} = 331 mi/h$

Therefore, the rate at which the distance from the plane to the station is increasing is 331 miles per hour.

I hope it helps you!

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2 years ago

The graph of y = 2x2 is transformed into y = -2x2 + 3. Which of the following situations best represents the effect of transform

BigorU [14]

Answer:

b and c are right

Step-by-step explanation:

if its on odyssey ware that's the right ones

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3 years ago

X + y + 5) and (2x – 2y – 3)

Aleonysh [2.5K]

Step-by-step explanation:

Since your question is incomplete, I have given you two different options based on your incomplete question.

Hope you understand this.

HAVE A GOOD DAY!

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3 years ago

The graph shows the relationship between the cost of making cardboard boxes and the number of boxes made , what rate does the po

Digiron [165]

The Answer is A because 7 is in the $ side and 35 in the boxes.

$7 / 35 boxes.

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3 years ago