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3 years ago

What is the solution to 4x+3=-9 ?

2 answers:

7 0

x = -3

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The following steps are taken to isolate x on one side of the equation in order to set it equal to a value on the other side of the equation.

4x + 3 = -9

Cancel out the 3 by subtracting it from both sides of the equation (since it is positive).

4x + 3 - 3 = -9 - 3
4x = -12

Cancel out the 4 (from 4x) by dividing both sides of the equation by it (since it is currently being multiplied).

4x / 4 = -12 / 4
x = -3

Variable x is now isolated on the left side of the equation, leaving the right side equal to x.

Delicious77 [7]3 years ago

6 0

The answer is =-3
You see =-3-9=12
4x=12/4
X=-3

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Answer:

$\alpha = 60°,\:\beta = 30°, \: 90°$

Step-by-step explanation:

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3 years ago

Graph the equation y = x2 + 8x + 12 on the accompanying set of axes. You must

UkoKoshka [18]

Answer:

Step-by-step explanation:

Roots: set y = x^2 + 8x + 12 = 0 and solve for x: x + 6 = 0, so x = -6 is one root. The other is x = -2. The corresponding points are (-6, 0) and (-2, 0).

y-intercept: Let x = 0. Then y = 12. The y-intercept is (0, 12).

Axis of symmetry: x = -b / (2a) => x = -8/(2*1) = -4: x = -4

Vertex y-value: evaluate y at x = - 4: (-4)^2 + 8(-4) + 12 = -4: (-4, -4)

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3 years ago

50 is 50% of what number? Plz show work in explanation thanks. Again im in middle school i musta misclicked high school instead

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6 0

3 years ago

If the distance from the boat to the lighthouse is 120 meters and the angle of elevation is 40°, which of the following equation

Sidana [21]

You can use the fact that lighthouses are usually standing perpendicular to the ground that smaller distance on earth surface(planes or water bodies like sea or ocean or calm river) acts as if they a straight plane.

The length (y) of the lighthouse is given by:

Option D: tan 40° = y over 120.

<h3>What is angle of elevation?</h3>

What you see something higher than your eye level height, you need to see up, you elevate your head to see that thing. The angle from the straight horizontal level of eye to the current elevated level is measured and named as angle of elevation.

Similarly, there is angle of depression when the observer looks down.

<h3>How to calculate the height of the considered lighthouse?</h3>

See the figure attached below to understand the symbols used in calculations.

Let the boat is on point C, and let the light house be AB.

Then we have:

Length of CA = 120 meters

∠ ACB = 40°

To find: length of AB

By using the trigonometric ratio tangent, we get:

$tan(\angle ACB) = \dfrac{AB}{AC}\\\\tan(40^\circ) = \dfrac{h}{120}$

Since here h is denoted by y, we have h = y, or

The equation to find the height of the lighthouse is

$tan(40^\circ) = \dfrac{y}{120}$

Thus,

The length (y) of the lighthouse is given by:

Option D: tan 40° = y over 120.

Learn more about angle of elevation here:

brainly.com/question/12483071

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2 years ago

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Korvikt [17]

Find the general solution by separating the variables then integrating:
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∫ ℮^(-y) dy = ∫ cosx℮^(sinx) dx
-℮^(-y) = ℮^(sinx) + C
℮^(-y) = C - ℮^(sinx)
-y = ln[C - ℮^(sinx)]
y = -ln[C - ℮^(sinx)]

Find the particular solution by solving for the constant:
When x = 0, y = 0
-ln(C - 1) = 0
ln(C - 1) = 0
C - 1 = 1
C = 2
<span>y = -ln[2 - ℮^(sinx)]

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!</span>

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3 years ago