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puteri [66]
2 years ago
5

Solve the two-step equation. -9x 0. 4 = 4 Which operation must be performed to move all the constants to the right side of the e

quation? Then, which operation must be performed to isolate the variable? The solution to the equation is x =.
Mathematics
1 answer:
AlekseyPX2 years ago
3 0

The steps needed to solve the given equation is required.

Adding the opposite value of the constant to both sides.

Divide both sides by the coefficient of the variable.

The solution to the equation is  

The given equation is

In order to solve this we first move constants to the side opposite of the variable.

This is done by adding the opposite value of the constant to both sides.

Here  is the constant so we add  to both sides.

Now, we divide both sides by the coefficient of the variable.

The solution to the equation is

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Noah tried to prove that cos(θ)=sin(θ) using the following diagram. His proof is not correct.
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The first statement is incorrect. They have to be complementary.

Step-by-step explanation:

You can't say the measure of angle B is congruent to theta because it is possible for angles in a right triangle to be different.

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Carl is standing at the top of 35 Ft cliff looking down at a rock for motion in the sea. He estimates the angle of depression is
Liula [17]

The horizontal distance between Carl and the rock at sea is approximately 60.62ft.

Data;

  • Angle = 30 degree
  • Opposite = 35
  • Adjacent = x

<h3>Trigonometric Ratio</h3>

Given the angle of depression from his point to the sea, we can use trigonometric ratio to calculate for the horizontal distance from his location to the bottom of the sea.

SOHCAHTOA

Since we have the value of angle and opposite and we need to calculate the adjacent side of the right-angle triangle, we can use the tangent of the angle to this effect.

Tan\theta = \frac{opposite}{adjacent} \\tan 30 = \frac{35}{x}\\ x = \frac{35}{tan30}\\ x = 60.62ft

The horizontal distance between Carl and the rock at sea is approximately 60.62ft.

Learn more on trigonometric ratio here;

brainly.com/question/12172664

7 0
2 years ago
The table shows the highest daily temperature in degrees Fahrenheit averaged over the month for Cosine City, where m is the numb
Bezzdna [24]

Answer:

Part A) The amplitude = 24

Part B) The period = 24

Part C) Vertical shift = 36

Step-by-step explanation:

The general equation of the sine function:

y = A sin (Bx) + C

Where A is the amplitude and B = 360°/Period  and C is the vertical shift

See the attached figure which represents the graph of m and f(m)

So,

<u>Part A:</u>

The function has minimum at 12 and maximum at 60

The difference is = 60 - 12 = 48

So, The amplitude = 48/2 = 24

<u>Part B:</u>

Period: The period of a periodic function is the interval on which the cycle of the graph that's repeated in both directions lies.

We can deduce that the function completes one cycle within 24 months

So, the period = 24

<u>Part C:</u>

Vertical shift is obtained at m = 0

So, f(m) = 36

36 = A sin (0) + C

C = 36 ⇒ Vertical shift

So, The amplitude = 24

The period = 24

Vertical shift = 36

8 0
3 years ago
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