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3 years ago

Solve 4(2x - 1) - 3 = 9(x - 4). (1 point)

Mathematics

1 answer:

DiKsa [7]3 years ago

4 0

Answer:

$x = 29$

Step-by-step explanation:

First we will expand the equation using the rule

$x(y - z) = xy - xz$

Thus,

$4(2x - 1) - 3 = 9(x - 4)$

is equal to

$8x - 4 - 3 = 9x - 36$

Simplify:

$8x - 7 = 9x - 36$

Add 36 to both sides:

$8x + 29 = 9x$

Therefore,

$x = 29$

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uysha [10]

Answer:

A, C

Step-by-step explanation:

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2 years ago

In ∆MNP, m∠N = 90º, NH – altitude, m∠P = 21º, PM = 4 cm. Find MH.

Sveta_85 [38]

Answer:

0.51 cm

Step-by-step explanation:

In right triangle MNP, MP = 4 cm, m∠N = 90°, m∠P = 21°

By the sine definition,

$\sin \angle P=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{MN}{MP}\\ \\MN=MP\sin \angle P\\ \\MN=4\sin 21^{\circ}\approx 1.43\ cm$

Now, consider right triangle HMN (it is right because NH is an altitude). By the cosine definition,

$\cos \angle M=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}=\dfrac{MH}{MN}\\ \\MH=MN\cos \angle M$

In the right triangle, two acute angles are always complementary, so

$m\angle M=90^{\circ}-m\angle P=90^{\circ}-21^{\circ}=69^{\circ}$

Thus,

$MH=1.43\cos 69^{\circ}\approx 0.51\ cm$

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2 years ago

Match the values based on parallelogram ABCD, shown in the figure.

stiv31 [10]

Answer:

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Step-by-step explanation:

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2 years ago

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3 years ago

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aleksklad [387]

Answer:

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Hope you got your answer.

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2 years ago

Read 2 more answers