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Lerok [7]
3 years ago
15

What is the slope of the line passing through (1, 2) and (3, 8)? A: slope = 1/7 B: slope = 1/3 C: slope = 3 D: slope = 7

Mathematics
2 answers:
Aliun [14]3 years ago
5 0
Slope = (y2-y1)/(x2-x1) = (8-2)/(3-1) = 6/2 = 3. So the answer is c.
Alexxandr [17]3 years ago
3 0

Answer: m=3

Step-by-step explanation: Slope is equal to the change in y over the change in x, or rise over run. The change in x is equal to the difference in x-coordinates (also called run), and the change in  y  is equal to the difference in y-coordinates (also called rise). The formula to solve this is m=y2-y1/x2-x1. then you substitute in the values of x and y into the equation to find the slope. now your problem should look like this... m=8-(2)/3-(1)... Then you simplify. simplify both numerator and denominator which should leave you with... m=6/2... then you just divide and get m=3

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(1/12)^-2b•12^-2b+2=12?
Anvisha [2.4K]

Step-by-step explanation:

(1/12)^-2b x 12^-2b+2=12

12^-(-2b) x 12^-2b+2=12

12^2b+(-2b+12)=12

2b-2b+12=12

=1

4 0
2 years ago
Find sum 3.24 +.07 =
BartSMP [9]

Answer:

3.94

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
This robotic arm is made up of two cylinders with equal volume and two triangular prism hands. The volume of each hand is
BaLLatris [955]

Answer:

\frac{r}{3\pi h+r}

Step-by-step explanation:

Since the height isn't given, we assume it to be "h" (of cylinders). And the answer will be in terms of "r" and "h".

The area of 1 arm is given, so the area of 2 arms would be:

A_{arm}=2*(\frac{1}{2}r*\frac{1}{3}r*2r)=\frac{2r^3}{3}

Now, area of 2 cylinders would be the formula:

A_{cyl}=2*(\pi r^2 h)=2\pi r^2 h

So, total area is A_arm PLUS A_cyl. The fractional area the arms are would be gotten by taking expression A_arm  divided  by A_total.

Shown below:

\frac{A_{arm}}{A_{total}}=\frac{\frac{2r^3}{3}}{2\pi r^2 h + \frac{2r^3}{3}}

We simplify further:

\frac{\frac{2r^3}{3}}{2\pi r^2 h + \frac{2r^3}{3}}\\=\frac{\frac{2r^3}{3}}{2r^2(\pi h + \frac{r}{3})}\\=\frac{r}{3(\pi h + \frac{r}{3})}\\=\frac{r}{3\pi h+r}

THis is the answer.

6 0
2 years ago
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The sum of the digits of a two-digit number is 12. The number formed by reversing the digits is 54 more than the original number
andreyandreev [35.5K]

Answer:

39

Step-by-step explanation:

let the 2 digit number be ab = 10a + b ( considering place value )

The reversed  2 digit number is ba = 10b + a

The sum of the 2 digit number is

a + b = 12 ( subtract b from both sides )

a = 12 - b → (1)

Expressing as an equation

ba = ab + 54 , that is

10b + a = 10a + b + 54

Substitute a = 12 - b into the equation

10b + 12 - b = 10(12 - b) + b + 54 , simplify both sides

9b + 12 = 120 - 10b + b + 54

9b + 12 = - 9b + 174 ( add 9b to both sides )

18b + 12 = 174 ( subtract 12 from both sides )

18b = 162 ( divide both sides by 18 )

b = 9

Substitute b = 9 into (1)

a = 12 - 9 = 3

Thus

the original 2 digit number = ab = 39

The reversed 2 digit number = ba = 93

which is 54 more than the original number

7 0
3 years ago
How can you find the area of an irregular polygon using area formulas?
algol [13]
Divide the polygon into separate shapes.  Like a rectangle and then a triangle.  
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