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2 years ago

Find the slope of the line passing through the two points.

Mathematics

1 answer:

GalinKa [24]2 years ago

4 0

The fromula of a slope:

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

a) (-1, -8), (-7, -4)

substitute

$m=\dfrac{-4-(-8)}{-7-(-1)}=\dfrac{-4+8}{-7+1}=\dfrac{4}{-6}=-\dfrac{2}{3}$

b) (2.1, 3.8), (3.1, 7.6)

substitute

$m=\dfrac{7.6-3.8}{3.1-2.1}=\dfrac{3.8}{1}=3.8$

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2/3(x-2)=-2<br>how would I solve this

xeze [42]

Answer:

x =(5/3)

Step-by-step explanation:

The given expression is $\frac{2}{3(x-2)} = -2$

Now to simplify it,

The first step is to cross multiply.

So, the expression becomes

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

or, -1 = 3x - 6

⇒ 3x = -1 + 6

⇒ 3x = 5 , or x =(5/3)

7 0

3 years ago

Which number is between 7.17 x 10^4 and 8.17 10^5 A. 6.92 x 10^4 B. 7.2 x10^9 C. 7.57 x 10^3 D. 8.053 x 10^4

Serga [27]

Answer:

D. 8.053 x 10^4

Step-by-step explanation:

Given :

7.17 x 10^4 and 8.17 10^5

The number in between the two Given numbers should be greater Than 7.17*10^4 but less than 8.17*10^5

A. 6.92 x 10^4 - this is less than 7.17 * 10^4 ; hence doesn't fit in

B. 7.2 x10^9 - this is greater than both values, hence, doesn't fit in

C. 7.57 x 10^3 - this is less than 7.17*10^4 ; hence does not fit in

D. 8.053 x 10^4 - this fits in as it is greater than 7.17*10^4 and less than 8.17*10^5 ; hence, it is the correct answer.

6 0

3 years ago

4. The area of a rhombus with one diagonal is 8.72 cm long is the same as the area of a square of side 15.6 cm. Find the length

Lubov Fominskaja [6]

Answer:

55.82 cm

Step-by-step explanation:

d1= 8.72 cm

a= 15.6 cm

A rhombus= 1/2*d1*d2 = A square

A square= 15.6²= 243.36 cm²

d2= 2A/d1= 2*243.36/8.72 ≈55.82 cm

4 0

3 years ago

in a classroom training student has to create a triangle pyramid using various items. Each group then used measurement to determ

balandron [24]

The formula for the volume of pyramid is,

$V=\frac{Bh}{3}$

Here, B is base area and height of pyramid.

The volume expression for group 4 is,

$V=\frac{1}{3}\cdot(\frac{8\cdot4}{2})\cdot9$

Here, expression,

$\frac{8\cdot4}{2}$

represents the base area and 9 represent the height of pyramid.

So height of the pyramid created by group 4 is 9.

Answer: 9

3 0

1 year ago

What would be the least common denominator of 5/6 and 2/9?

AURORKA [14]

Answer:

the least common denominator is 54 although there are some that are higher ones

Step-by-step explanation:

5 0

2 years ago