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3 years ago

What’s is the slope of the lin

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

8 0

Answer:

1/3

Step-by-step explanation:

Method 1.

slope = rise/run

Rise is vertical distance.

Run is horizontal distance.

Find two points that are easy to read (on grid intersections):

(2, -1) and (5, 0).

Start at (2, 1). You need to go to (5, 0) by moving only vertically and horizontally. Go up 1 unit. That is a rise of 1. Now go right 3 units. That is a run of 3.

rise = 1

run = 3

slope = rise/run = 1/3

Method 2.

Use the slope formula and two points on the line.

$slope = m = \dfrac{y_2 - y_1}{x_2 - x_1}$

Use points (2, -1) and (5, 0).

$slope = m = \dfrac{0 - (-1)}{5 - 2}$

$slope = m = \dfrac{0 + 1}{3}$

$slope = m = \dfrac{1}{3}$

slope = 1/3

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the surface area of a cuboid is 95cm² and its lateral surface area is 63cm². find the area of its base

wel

Answer:

The Area of the base is 16 cm² .

Step-by-step explanation:

Given as :

The surface area of the cuboid = x = 95 cm²

The lateral surface area of the cuboid = y = 63 cm²

Let The Area of the base = z cm²

Now, Let The length of cuboid = l cm

The breadth of cuboid = b cm

The height of cuboid = h cm

According to question

∵ The surface area of the cuboid = 2 ×(length × breadth + breadth × height + height × length)

Or, x = 2 ×(l × b + b × h + h × l)

Or, 95 = 2 ×(l × b + b × h + h × l)

Or, (l × b + b × h + h × l) = $\dfrac{95}{2}$ ....1

Similarly

∵lateral surface area of the cuboid = 2 ×(breadth × height + length × height)

Or, y = 2 ×(b × h + l × h)

Or, 2 ×(b × h + l × h) = 63

Or, (b × h + l × h) = $\dfrac{63}{2}$ ......2

Putting value of eq 2 into eq 1

so, (l × b + $\dfrac{63}{2}$ ) = $\dfrac{95}{2}$

Or, l × b = $\dfrac{95}{2}$ - $\dfrac{63}{2}$

Or, l × b = $\dfrac{95 - 63}{2}$

i.e l × b = $\dfrac{32}{2}$

so, l × b = 16

Now, Again

∵The Area of the base = ( length × breadth ) cm²

So, z = l × b

i.e z = 16 cm²

So, The Area of the base = z = 16 cm²

Hence,The Area of the base is 16 cm² . Answer

5 0

3 years ago

Help plis 17. Find the sum of (10x + 3) and (- 4x - 2).

OLEGan [10]

Answer:

6x + 1

Step-by-step explanation:

1. (10x + 3) + (-4x -2) --> sum means to add.

2. Combine like terms --> 10x - 4x = 6x; 3 - 2 = 1.

3. 6x + 1

4 0

3 years ago

Read 2 more answers

What is .25 written in the simplest fraction form

Alekssandra [29.7K]

1/4 is .25 as a fraction

6 0

3 years ago

If a triangle has sides of length x, X + 2, and x

klemol [59]

Answer:

3x+6

x+x+2+x+4

» You can group the like terms, in this case, the x's and the numbers.

x+x+x+2+4

3x+6

5 0

2 years ago

Which option summarizes what gave Chandra Gupta I power

mars1129 [50]

Answer:

Chandra Gupta I, King of India reigned from 320 to about 330 CE and founder of the Gupta empire. He was the grandson of Sri Gupta, the first known leader of the Gupta line. Chandra Gupta I, whose first life is unknown, became the local chief of the kingdom of Magadha parts of the modern state of Bihar.

Step-by-step explanation:

6 0

3 years ago