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3 years ago

What is the slope line that would be parallel to the given line???

Mathematics

1 answer:

Serjik [45]3 years ago

6 0

Slope of a line parallel to given line is equal to slope of given line.

<u>SOLUTION:</u>

Given that, we have to find the slope of any line that is parallel to a line in the co – ordinate plane.

We know that, slope of a line is tan( angle of a line made between that line and the x – axis)

So, consider two lines which are parallel , then, angles made by both the parallel lines will be equal with the x – axis.

Then, tan( angle by 1st line) = tan( angle by 2nd line)

Which means that, slope of two lines will be equal.

Hence, slope of a line parallel to given is equal to slope of given line.

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Find the value of the expression (3⁢x-12)+12⁢(x⁢y-10) for x=4 and y=6 .

r-ruslan [8.4K]

3(4) + 12 + 12[4(6) - 10]
12 + 12 + 12(24 - 10)
12 + 12 + 288 - 120
192

5 0

4 years ago

A cylinder has diameter of 4ft and a height of 9ft. Explain whether halving the diameter has the same effect on the surface area

elena55 [62]

Answer:

See Below

Step-by-step explanation:

The surface area of cylinder is given by the formula:

$SA=2\pi r^2 + 2\pi r h$

Where

r is radius ( diameter is 4, so radius is 4/2 = 2)

h is height ( h = 9)

Lets find original surface are:

$SA=2\pi r^2 + 2\pi r h\\SA=2\pi (2)^2 + 2\pi (2) (9)\\SA=8\pi +36\pi\\SA=44\pi$

<u>Halving diameter:</u>

diameter would be 4/2 = 2, so radius would be 2/2 = 1

So, SA would be:

$SA=2\pi r^2 + 2\pi r h\\SA=2\pi (1)^2 + 2\pi (1) (9)\\SA=2\pi +18\pi\\SA=20\pi$

<u>Halving height:</u>

Height is 9, halving would make it 9/2 = 4.5

Now, calculating new SA:

$SA=2\pi r^2 + 2\pi r h\\SA=2\pi (2)^2 + 2\pi (2) (4.5)\\SA=8\pi + 18\pi\\SA= 26\pi$

Original SA is $44\pi$ ,

Halving diameter makes it $20\pi$

Halving height makes it $26\pi$

So, halving diameter does not have same effect as halving height.

5 0

3 years ago

1. Find the Surface Area of the rectangular prism. Show your work and explain how you solved using First,

mafiozo [28]

Answer:

376 inches^2

Step-by-step explanation:

<h3>1. Divide up each type of rectangle </h3>

- 10x6

- 6x8

- 8x10

<h3>2. Find the area of each rectangle</h3>

- 10x6=60

- 6x8=48

- 8x10=80

<h3>3. Multiply each rectangle by two to get the opposite one</h3>

- 60x2=120

- 48x2=96

- 80x2=160

<h3>4. Add them together</h3>

120+96+160=376

The surface area is 376 inches^2

6 0

3 years ago

¿cuál es el vértice de una parábola que corta los ejes en los puntos (-1,0) , (5,0), (0,-10) ?

kvasek [131]

Answer:

vertex: (2,-18)

Step-by-step explanation:

y = ax² + bx + c

(-1,0) : a - b + c = 0 ...(1)

(5,0) : 25a +5b +c = 0 ...(2)

(0,-10): 0a + 0b + c = -10 c=-10

(1) x5: 5a - 5b + 5c = 0 ...(3)

(2)+(3): 30a + 6c = 0 30a = -6c = 60 a = 2

(1): 2 - b -10 = 0 b = -8

Equation: y = 2x² - 8x -10 = 2 (x² -4x +4) - 18 = 2(x-2)² -18

equation: y = a(x-h)²+k (h,k): vertex

vertex: (2,-18)

3 0

3 years ago

Determine the slop of the line passing through (-3,7) and (9,-2)

enot [183]

The slope is 3/4. you need to find the change of y over the change of x.

5 0

3 years ago