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3 years ago

What is the correct solution to the equation 1 – (2x + 4) = –4x + 5?

Mathematics

2 answers:

lions [1.4K]3 years ago

5 0

$\\ \sf\longmapsto 1-(2x+4)=-4x+5$

$\\ \sf\longmapsto 1-2x-4=-4x+5$

$\\ \sf\longmapsto -2x-3=-4x+5$

$\\ \sf\longmapsto -2x+4x=5+3$

$\\ \sf\longmapsto 2x=8$

$\\ \sf\longmapsto x=\dfrac{8}{2}$

$\\ \sf\longmapsto x=4$

scoundrel [369]3 years ago

4 0

<h3>Answer: X=4</h3>

Step-by-step explanation:

$\Large \boldsymbol {} \sf 1-(2x+4)=-4x+5 \\\\1-2x-4=-4x+5 \\\\4x-2x=5+3 \\\\2x=8 \\\\\boxed{\sf x=4}$

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Solve this equation for x: x^2+11x+28=0

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Answer: x = -7 or x = -4

Step-by-step explanation: When an equation has a squared term in it

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The rule for solving a polynomial equation

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Since this equation is already set equal to zero,

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To factor x² + 11x + 28, we need the factors

of 28 that add to 11 which are 7 and 4.

So we have (x + 7)(x + 4) = 0.

Whenever two terms are multiplied together to equal zero,

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So if (x + 7)(x + 4) = 0, then either x + 7 = 0 or x + 4 = 0.

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a A boat is heading towards a lighthouse, where Lillian is watching from a vertical distance of 145 feet above the water. Lillia

Stells [14]

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance from point A to point B is 763.752ft.

<h3>What is Tangent (Tanθ)?</h3>

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

$\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}$

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

A.) The distance between the boat and the lighthouse when the angle of depression is 10°.

Tan(10°) = Height of lighthouse/ distance between the boat and the lighthouse

Distance between the boat and the lighthouse

= 145/Tan(10°) = 822.336ft

B.) The distance between the boat and the lighthouse when the angle of depression is 68°.

Tan(68°) = Height of lighthouse/ distance between the boat and the lighthouse

Distance between the boat and the lighthouse

= 145/Tan(68°) = 58.584ft

The distance between point A and B = 822.336ft - 58.584ft = 763.752 ft

Hence, the distance from point A to point B is 763.752ft.

Learn more about Tangent (Tanθ):

brainly.com/question/10623976

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