Which measurement is equal to 6 kilograms?

4x - 7 = -3x<br><br> What is the answer?

soldi70 [24.7K]

Answer:

x = 1

Step-by-step explanation:

1. Add 3x to both sides of the problem

4x + 3x - 7 = -3x + 3x
-3x + 3x cancels out and leaves us with zero
7x - 7 = 0

2. Add 7 to both sides

7x (- 7 + 7) = 0 + 7
-7 + 7 cancels out
7x = 7

3. Divide both sides by 7

7x/7 = 7/7
x = 1

To make sure our answer is correct we can plug in 1 to x in the problem

4(1) - 7 = -3(1)
4 - 7 = -3 : True

6 0

3 years ago

Read 2 more answers

F(x)=(x^3+4x^2+7x-9) d(x)=(x+3)<br><br> divide using long division

Alchen [17]

The result is x^2 +x +4 -21/(x+3).

_____

Polynomial long division tends to be easier than numerical long division because the quotient term never needs adjustment. It is always the ratio of the highest degree terms of the dividend and divisor.

See the attachment for the intermediate steps.

7 0

3 years ago

What conclusion can you draw about angles of elevation for parasailing boats traveling at the same speed?

melamori03 [73]

Question:

A boat is travelling at 30 mph has a 400 ft. tow line results in the height of the rider in the parasail above the water level of 300 ft.

a) Draw a labelled diagram of the situation

b) Determine the angle of elevation of the parasail rider

c) Parasailing boats traveling at the same speed will have the same angle of elevation

Answer:

a) Please find the attached drawing of the parasail boat created with MS Visio

b) The angle of elevation of the parasail rider from the boat is approximately 48.6°

Step-by-step explanation:

a) Please find the labelled diagram of the parasailing boat created with MS Visio

b) sing trigonometric ratios, we have;

$sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}$

The opposite leg = The height of the parasail rider above water = 300 ft.

The hypotenuse = the length of the tow line = 400 ft.

θ = The angle of elevation of the parasail rider

$\therefore sin(\theta) = \dfrac{300 \, ft.}{400 \, ft.} = 0.75$

θ = Arctan(0.75) ≈ 48.6°

The angle of elevation above the horizontal of the parasail rider from the boat, θ ≈ 48.6°

c) From the construction of the drawing and the derivation of the angle of elevation given only the length of the tow line and the height given to the parasail rider by the speed of the both,

Parasailing boats traveling at the same speed, having the same length of tow line, will have the same angle of elevation, provided other factors that have an effect on the angle of elevation are the same

6 0

3 years ago

What is cos(45°)?

Andrej [43]

Answer:

$\rm \dfrac{\sqrt2}{2}$

Step-by-step explanation:

A right angled ∆ is given to us and we need to find out the value of cos 45° ( with rationalized denominator ) . As we know that in a right angle ∆ , the value of cosine is ,

$\rm\implies cos\theta =\dfrac{base}{hypotenuse}$