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3 years ago

IT'S URGENT PLEASEE What is the slope of a line perpendicular to the line 2y = 3x - 10?

Mathematics

2 answers:

sashaice [31]3 years ago

6 0

Perpendicular slope is -2/3

belka [17]3 years ago

5 0

<h3>Answer: perpendicular slope is -2/3</h3>

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Work Shown:

Solve the given equation for y

2y = 3x - 10

y = (3x-10)/2 ..... divide both sides by 2

y = (3x)/2 - 10/2

y = (3/2)x - 5

The equation is in y = mx+b form with m = 3/2 as the slope.

The perpendicular slope is -2/3 because we flip the fraction and the sign from positive to negative.

Note how multiplying the original slope 3/2 and the perpendicular slope -2/3 leads to -1

(3/2)*(-2/3) = -1

This is true for any pair of perpendicular lines, assuming neither line is vertical.

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This was the question it got deleted I just need 1,2,5

scoundrel [369]

Answer:

1. The volume of the cylinder is 263 $cm^{3}$ .

2. The volume of the cylinder is 12 $m^{3}$ .

3. The volume of the cylinder is 3165.1 $cm^{3}$ .

4. The radius of the cylinder is 3.6 cm.

5a. Area of the base is 50.2 $cm^{2}$ .

5b. The curved surface area of the pencil holder is 351.7 $cm^{2}$ .

5c. The surface are of the pencil holder is 452.2 $cm^{2}$ .

Step-by-step explanation:

1. The given shape is a cylinder, so that;

volume of a cylinder = $\pi$ $r^{2}$ h

= 3.14 x $(3.8)^{2}$ x 5.8

= 262.98128

The volume of the cylinder is 263 $cm^{3}$ .

2. This is also a cylinder, but with a given diameter.

radius = $\frac{diameter}{2}$

= $\frac{1.2}{2}$ = 0.6 m

volume of a cylinder = $\pi$ $r^{2}$ h

= 3.14 x $(0.6)^{2}$ x 10.6

= 11.98224

The volume of the cylinder is 12 $m^{3}$ .

3. volume of a cylinder = $\pi$ $r^{2}$ h

= 3.14 x $6^{2}$ x 28

= 3165.12

The volume of the cylinder is 3165.1 $cm^{3}$ .

4. volume of a cylinder = $\pi$ $r^{2}$ h

239 = 3.14 x $r^{2}$ x 6

239 = 18.84 $r^{2}$

$r^{2}$ = $\frac{239}{18.84}$

= 12.6858

r = $\sqrt{12.6858}$

= 3.5617

The radius of the cylinder is 3.6 cm.

5. Area of the base = $\pi$ $r^{2}$

radius = $\frac{diameter}{2}$

= $\frac{8}{2}$ = 4 cm

Area of the base = 3.14 x $4^{2}$

= 50.24

Area of the base is 50.2 $cm^{2}$ .

5b. Area of the curved surface of the pencil holder = 2 $\pi$ rh

= 2 x 3.14 x 4 x 14

= 351.68

The curved surface area of the pencil holder is 351.7 $cm^{2}$ .

5c. Surface area of the pencil holder = 2 $\pi$ rh + 2 $\pi$ $r^{2}$

= 2 $\pi$ r(h + r)

= 2 x 3.14 x 4 (14 + 4)

= 452.16

The surface are of the pencil holder is 452.2 $cm^{2}$ .

7 0

3 years ago

Solve the system y=x-3 y=-2x+3

vivado [14]

Answer:

x = 2, y= -1 Or (2, -1)

Step-by-step explanation:

Let’s solve the system using substitution. First we can set the equations equal to each other:

x-3= -2x +3

Now solve for x

3x-3= 3

3x = 6

x=2

Now that we have x, we can plug it back into one of the original equations to get y

y= x-3

y= 2-3

y = -1

Finally, the solution to the system of equations is (2, -1).

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Answer:

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