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3 years ago

4(x+3)=2(2x+6) Solve for x

Mathematics

2 answers:

tamaranim1 [39]3 years ago

5 0

Answer:

infinite answers

Step-by-step explanation:

4(x+3) = 2(2x+6)

4x + 12 = 4x +12

-12 -12

4x = 4x

therefore, x can be any number

Alik [6]3 years ago

5 0

First, distribute —-> 4x + 12 = 4x + 12

Second, add like terms and regular numbers ——> 8x = 24

Finally divide 8 from both sides.

The answer is x = 3

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I need help on this one please

Advocard [28]

1 lemon costs 20p and 1 orange costs 45p so an orange costs 25p more

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3 years ago

In a geometric series each term is 21% less than previous term what is the value of r for this geometric series

motikmotik

To get a number to decrease by 21% you multiply it by 0.79 (1-0.21)
r = 0.79

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3 years ago

Read 2 more answers

In the diagram below, assume that all points are given in rectangular coordinates. Determine the polar coordinates for each poin

Korolek [52]

Step-by-step explanation:

We have cartisean points. We are trying to find polar points.

We can find r by applying the pythagorean theorem to the x value and y values.

$r {}^{2} = {x}^{2} + {y}^{2}$

And to find theta, notice how a right triangle is created if we draw the base(the x value) and the height(y value). We also just found our r( hypotenuse) so ignore that. We know the opposite side and the adjacent side originally. so we can use the tangent function.

$\tan(x) = \frac{y}{x}$

Remeber since we are trying to find the angle measure, use inverse tan function

$\tan {}^{ - 1} ( \frac{y}{x} ) =$

Answers For 2,5

${2}^{2} + {5}^{2} = \sqrt{29} = 5.4$

So r=sqr root of 29

$\tan {}^{ - 1} ( \frac{5}{2} ) = 68$

So the answer is (sqr root of 29,68).

For -3,3

${ -3 }^{2} + {3}^{2} = \sqrt{18} = 3 \sqrt{2}$

$\tan {}^{ - 1} ( \frac{3}{ - 3} ) = - 45$

Use the identity

$\tan(x) = \tan(x + \pi)$

So that means

$\tan(x) = 135$

So our points are

(3 times sqr root of 2, 135)

For 5,-3.5

${5}^{2} + {3.5}^{2} = \sqrt{37.25}$

$\tan {}^{ - 1} ( \frac{ - 3.5}{ - 5} ) = 35$

So our points are (sqr root of 37.25, 35)

For (0,-5.4)

${0}^{2} + { - 5.4}^{2} = \sqrt{} 29.16 = 5.4$

So r=5.4

$\tan {}^{ - 1} (0) = undefined$

So our points are (5.4, undefined)

4 0

3 years ago

A parallelogram has sides of 18 and 26 ft, and an angle of 39° . Find the shorter diagonal

Fed [463]

Answer:

16.51

Step-by-step explanation:

In a parallelogram, the opposite angles are always equal in measure. So two of the angles in the parallelogram measure 39 degrees each.

The sum of angles of the parallelogram must be 360 degrees. Let the other two angles be x degree each. We can set up the following equation for the angles:

39 + 39 + x + x = 360

78 + 2x = 360

2x = 282

x = 141

This means, the other two angles measure 141 degree each. The shorter diagonal will be opposite to the shorter angle.

Hence, the diagonal opposite to the angle 39 degree will be the shorter one. A diagonal divides the parallelogram in two triangles. So we will have two sides and an included angle and we have to find the third side of the triangle which can be found using the law of cosines. Let the third side be c as shown in image below, using the law of cosines, we can write:

$c^{2} = a^{2}+ b^{2} -2ab cos(\gamma)\\\\c^{2}=18^{2}+26^{2}-2(18)(26)cos(39)\\\\ c^{2}=272.59\\\\ c=16.51$

Thus the shorter diagonal will be 16.51 feet in measure.

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3 years ago

Estimate the unit rate if 12 pairs of socks sell for 5.79

bulgar [2K]

The answer is .48 cents per sock .96 cents per pair

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3 years ago