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sleet_krkn [62]
3 years ago
7

X+1=3 x-4=5 solve by equation method

Mathematics
2 answers:
jolli1 [7]3 years ago
8 0

Answer:

X+1=3

x = 3 - 1

x = 2

Check:

2 + 1 = 3

x-4=5

x = 5 + 4

x = 9

Check:

9 - 4 = 5

Fiesta28 [93]3 years ago
8 0

Answer:

1)x=2

2)x=9

Step-by-step explanation:

x+1=3

=>x=3-1

therefore

x=2

second question

x-4=5

=>x=5+4

therefore

x=9

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The height of a cone is twice the radius of its base.
lara [203]

Answer:

A. \frac{2}{3} \pi x^3

Step-by-step explanation:

From the way the answers are presented, it can be seen that x refers to the radius of the base of the cone

radius: x

and we are told that the height is twice the radius, so:

height: 2x

and now we use the formula to calculate the volume of a cone:

V=\frac{\pi r^2h}{3}

where V is volume, r is radius, and h is the height. and \pi is a constant

in this case

r=x

h=2x

so we substitute thisvalues  in the formula for the volume:

V=\frac{\pi x^2(2x)}{3}

Rearranging the terms

V=\frac{2\pi x^3}{3} \\V=\frac{2}{3} \pi x^3

which is option A.

6 0
3 years ago
How to find the average squared distance between the points of the unit disk and the point (1,1)
ddd [48]
The unit disk can be parameterized by the function

\mathbf p(r,\theta)=(r\cos\theta,r\sin\theta)

where 0\le r\le 1 and 0\le\theta\le2\pi. The squared distance between any point in this region (x,y)=(r\cos\theta,r\sin\theta) and the point (1, 1) is

(x-1)^2+(y-1)^2=(r\cos\theta-1)^2+(r\sin\theta-1)^2
=(r^2\cos^2\theta-2r\cos\theta+1)+(r^2\sin^2\theta-2r\sin\theta+1)
=r^2(\cos^2\theta+\sin^2\theta)-2r(\cos\theta-\sin\theta)+2
=r^2-2r(\cos\theta-\sin\theta)+2

The average squared distance is then going to be the ratio of [the sum of all squared distances between every point in the disk and the point (1, 1)] to [the area of the disk], i.e.

\dfrac{\displaystyle\iint_{x^2+y^2
=\dfrac{\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}[r^2-2r(\cos\theta-\sin\theta)+2]r\,\mathrm dr\,\mathrm d\theta}{\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}r\,\mathrm dr\,\mathrm d\theta}
=\dfrac{\frac{5\pi}2}\pi=\dfrac52
5 0
3 years ago
Whats the slope of this graph​
AleksAgata [21]
The answer is 3/2 rise over run
5 0
4 years ago
Christina earns $250 a week. To budget money, she pays $135 in bills each week. How much money does Christina have left at the e
Rama09 [41]

Answer:

460 USD

Step-by-step explanation:

monthly earnings = 250 x 4 = 1000

monthly bills = 135 x 4 = 540

end of month = 1000 - 540 = 460 USD

7 0
3 years ago
A bike wheel is shown. Chords I J and L K intersect at point M. The length of I M is 16 centimeters, the length of M J is 7 cent
levacccp [35]

Answer:

The diameter of the wheel is 32 centimeters

Step-by-step explanation:

we know that

The <u><em>intersecting chords theorem</em></u> states that the products of the lengths of the line segments on each chord are equal.

so

In this problem

(LM)(MK)=(IM)(MJ)

substitute the given values

(4)(x)=(16)(7)

solve for x

x=16(7)/4\\x=28\ cm

Remember that

LK goes through the center of the wheel

That means----> LK is a diameter

LK=4+x\\LK=4+28=32\ cm

therefore

The diameter of the wheel is 32 centimeters

3 0
4 years ago
Read 2 more answers
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