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3 years ago

-4(2x - 5) = 3(x - 15)

Mathematics

1 answer:

Mice21 [21]3 years ago

8 0

Multiply the first bracket by -4

Multiply the second bracket by 3

-4(2x - 5) = 3(x - 15)

-4(2x)-4(-5)= 3(x)+3(-15)

-8x+20= 3x-45

Move 3x to the other side. Sign changes from +3x to -3x.

-8x-3x+20= 3x-3x-45

-11x+20= -45

Move +20 to the other side. Sign changes from +20 to -20.

-11x+20-20= -45-20

-11x= -65

Divide by -11

-11/-11x= -65/-11

x= 65/11 or x= 5 10/11

Answer: x= 65/11 or x= 5 10/11

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2 years ago

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maksim [4K]

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

Step-by-step explanation:

The given is,

Given diagram is combination of Rectangle and Semi circle.

Step:1

Res the attachment,

Area of given diagram = Area of A + Area of B..............(1)

Step:2

For A,

The A section in the given diagram is semi circle,

Diameter of semi circle = Total distance - ( 2+3)

( ∵ 2, 3 are top distance in the given diagram)

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Diameter, d = 5 cm

Radius, $r = \frac{d}{2}$

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r = 2.5 cm

Area, $A_{A} = \frac {\pi r^{2} }{2}$ ........................(2)

$A_{A} = \frac {\pi (2.5)^{2} }{2}$

$= \frac {\pi ( 6.25) }{2}$

$= \frac{19.63}{2}$

$A_{A} = 9.8174 cm^{2}$

Step:3

For B,

Area of rectangle is,

$A_{B} =lb$ .....................(3)

Where, l - Length = 10 cm

b - Width = 2 cm

Equation (3) become,

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Area of B, $A_{B}$ = 20 $cm^{2}$

Step:4

From the equation (1),

Area of given diagram = 20+ 9.81747

Area = 29.817 square centimeters

Result:

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

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