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8090 [49]
3 years ago
6

To make the expression 4x-2 + (2x + 4) equivalent to 2(6x + 7), what must be the value in the box?

Mathematics
1 answer:
podryga [215]3 years ago
5 0

4x - 2 + (2x + 4) = 2(6x + 7) \\

4x - 2 + 2x + 4 = 12x + 14

Simplification

6x + 2 = 12x + 14

Subtract sides 2

6x + 2 - 2 = 12x + 14 - 2

Simplification

6x = 12x + 12

Subtract sides -12x

6x - 12x = 12x - 12x + 12

Simplification

- 6x = 12

Divided sides by -6

\frac{ - 6}{ - 6}x =  \frac{12}{ - 6} \\

x =  - 2

It is must be in the box buddy.

And we're done...♥️♥️♥️♥️♥️

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The diagram shows a 3 cm x 5 cm x 4 cm cuboid
Rainbow [258]

Answer:

a) The length of segment AC is approximately 5.83 centimeters.

b) The angle ACD is approximately 34.5º.

Step-by-step explanation:

a) Since AB \perp BC, the length of segment AC is determined by Pythagorean Theorem, that is:

AC = \sqrt{(5\,cm)^{2}+(3\,cm)^{2}}

AC \approx 5.831\,cm

The length of segment AC is approximately 5.831 centimeters.

b) Since AB \perp BC \perp AD, the length of segment AD is determined by this Pythagorean identity:

AD = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}+(4\,cm)^{2}}

AD \approx 7.071\,cm

The angle ACD is determined by the following trigonometric expression:

\cos C = \frac{AC}{CD}

\cos C = \frac{5.831\,cm}{7.071\,cm}

\cos C = 0.825

C = \cos^{-1} 0.825

C \approx 34.448^{\circ}

The angle ACD is approximately 34.448º.

4 0
2 years ago
a washer has an outside radius of 6cm and a hole of radius 28cm. calculate the area of the face of the washer ( give your answer
Cerrena [4.2K]

Answer:

the area of face of washer is 22cm sq

4 0
2 years ago
Given that €1=£0.72 how much is €410 in £ what is the £ to € exchange rate
Virty [35]

Answer:

As per the given statement:

€1 = £0.72

Find how much is €410 in £.

then;

€410 = 0.72 \times 410 = £295.2

Hence, £295.2 much is €410.

to find, the exchange rate of £ to €:

€1 = £0.72

Divide both sides by 0.72 we get;

£1 = €1.389

4 0
3 years ago
Find parametric equations through point P=(2,2,7) in the direction of the vector v = (44, 14, -20)?
ycow [4]

9514 1404 393

Answer:

  (x, y, z) = (2+44t, 2+14t, 7-20t)

Step-by-step explanation:

One way to write parametric equations for line L is ...

  L = P + t·<em>v</em>

where P is the given point and <em>v</em> is the given direction vector. Using that form, we have ...

  (x, y, z) = (2+44t, 2+14t, 7-20t)

__

If you like, you can remove a common factor of 2 from the coefficients of t.

  (x, y, z) = (2+22t, 2+7t, 7-10t)

5 0
2 years ago
How many FIVES are equal in value to £7?
OLga [1]
<span>£1 equals to 1.43 us dollars.

7 </span>× 1.43 = <span>10.01

</span>10.01 ÷ 5 = <span>2.002
</span>
2 fives are equal to <span>£7. </span>
5 0
3 years ago
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