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3 years ago

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Mathematics

1 answer:

Alexus [3.1K]3 years ago

3 0

Answer:

49087.385212340516

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Can someone do this plz??

Maksim231197 [3]

Answer:

$x = - 6$

$x = 12$

$x = 8$

$x = - 21$

$x = 18$

$x = - 2$

$x = 40$

$x = - 3$

$x = -21$

$x = 2$

$x = - 18$

$x = - 7$

$x = 6$

$x = 10$

$x = 3$

Step-by-step explanation:

$1.$

$- 7x + 16 = 58$

$- 7x = 58 - 16$

$- 7x = 42$

$\frac{ - 7x}{ - 7} = \frac{42}{ - 7}$

$x = \frac{ 42}{ - 7}$

$x = - 6$

$2.$

$- 2x + 15 = - 9$

$- 2x = - 9 - 15$

$- 2x = - 24$

$\frac{ - 2x}{ - 2} = \frac{ - 24}{ - 2}$

$x = \frac{ - 24}{ - 2}$

$x = 12$

$3.$

$5x - 4 = 36$

$5x = 36 + 4$

$5x = 40$

$\frac{5x}{5} = \frac{40}{5}$

$x = \frac{40}{5}$

$x = 8$

$4.$

$25 - 3x = 88$

$- 3x = 88 - 25$

$- 3x = 63$

$\frac{ - 3x}{ - 3} = \frac{63}{ - 3}$

$x = \frac{63}{ - 3}$

$x = - 21$

$5.$

$- 11 = 7 - x$

$7 - x = - 11$

$- x = - 11 - 7$

$- x = - 18$

$\frac{ - x}{ - 1} = \frac{ - 18}{ - 1}$

$x = \frac{ - 18}{ - 1}$

$x = 18$

$6.$

$65 + 15x = 35$

$15x = 35 - 65$

$15x = - 30$

$\frac{15x}{15} = \frac{ - 30}{15}$

$x = \frac{ - 30}{15}$

$x = - 2$

$7.$

$\frac{1}{2} x - 18 = 2$

$\frac{1}{2} x = 2 + 18$

$\frac{1}{2} x = 20$

$\frac{1}{2} \times 2x = 20 \times 2$

$x = 40$

$8.$

$\frac{2}{3} x - 10 = - 12$

$\frac{2}{3} x = - 12 + 10$

$\frac{2}{3} x = - 2$

$x = - 2( \frac{3}{2} )$

$x = - 3$

$9.$

$6 - \frac{1}{3} x = - 1$

$- \frac{ 1}{3} x = - 1 - 6$

$- \frac{1}{3} x = - 7$

$x = - 7( - \frac{3}{1} x)$

$x = 21$

$10.$

$4 - 9 x= - 14$

$-9x = - 14 - 4$

$-9x = - 18$

$\frac{-9x}{-9} = \frac{ - 18}{-9}$

$x = \frac{ - 18}{-9}$

$x = 2$

$11.$

$11 - x = 29$

$- x = 29 - 11$

$- x = 18$

$\frac{ - x}{ - 1} = \frac{18}{ - 1}$

$x = \frac{ 18}{ - 1}$

$x = - 18$

$12.$

$- 9- 11 x= 68$

$- 11x = 68 + 9$

$- 11x = 77$

$\frac{ - 11x}{ - 11} = \frac{77}{ - 11}$

$x = \frac{77}{ - 11}$

$x = - 7$

$13.$

$45 + \frac{5}{6} x = 50$

$\frac{5}{6} x = 50 - 45$

$\frac{5}{6} x = 5$

$x = 5( \frac{6}{5} )$

$x = 6$

$14.$

$- 5x + 17 = - 33$

$- 5x = - 33 - 17$

$- 5x = - 50$

$\frac{ - 5x}{ - 5} = \frac{ - 50}{ - 5}$

$x = \frac{ - 50}{ - 5}$

$x = 10$

$15.$

$95 = - 4 + 33x$

$- 4 + 33x = 95$

$33x = 95 + 4$

$33x = 99$

$\frac{33x}{33} = \frac{99}{33}$

$x = \frac{99}{33}$

$x = 3$

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Answer:

Step-by-step explanation:

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The radius of a circle is 10 meters. What is the area of a sector bounded by a 90 degree arc?Give the exact answer in simplest f

Wittaler [7]

Since we know a circle has 360 degrees, the sector bounded by a 90 degree arc will be a quarter of circle (360/90 = 4). Then, to calculate the area of that sector, we can calculate the total area of the circle of radius 10, and then divide it by 4.

The area of a cirlce of radius r is:

$A=\pi r^2$

Then, the area of the sector would be:

$A_s=\frac{\pi r^2}{4}$ $A_s=\frac{\pi(10m)^2}{4}=\frac{100\pi}{4}m^2$ $A_s=25\pi m^2$

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The graph represents this system of equations. What is the solution to the system of equations? a(–2, 4) b( 3, 4) c (4, –2) d(4,

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