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qaws [65]
3 years ago
13

What is the slope of a line that passes through (–12,15) and (0,4)?       

Mathematics
2 answers:
pav-90 [236]3 years ago
7 0
Answer:  The slope is:  -\frac{11}{12} .
__________________________________________________
Explanation:
__________________________________________________
Given two points on the line:  (x₁, y₁) ;  and:  (x₂, y₂) ;

which are given:  (-12, 15) and (0, 4) ;  in which: 
________________________________________________________
                              x₁  = -12 ,  y₁  = 15 ,  x₂ = 0,  y₂ = 4 ;
_______________________________________________________
The slope, "m", is calculated as follows:
_______________________________________________________
   m = (y₂ − y₁) / (x₂ − x₁)  =  (4 − 15) / [0 − (-12)] ;
                                         =  (4 − 15) / (0 + 12) ;
                                         =    -11 / 12 .
_______________________________________________________
                            The slope, "m" is:   - 11/12 .
_______________________________________________________
dolphi86 [110]3 years ago
6 0
C is the answer -11/12
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12/21 in its simplest form
UNO [17]
12/21 in its simplest form is 4/7.

To find this out we need to divide the numerator and denominator by the GCF of 12 and 21 which is 3.

12/21

12 ÷ 3 = 4
21 ÷ 3 = 7
4/7

12/21 in its simplest form is 4/7.

12/21 = 4/7
5 0
3 years ago
Read 2 more answers
(a) Find the perimeter of the shape below. (Take π =<br>22/7)<br>3cm<br>3cm<br>12cm<br>20cm​
MariettaO [177]
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3 0
3 years ago
2.02b + 4.30 = 2.00b + 6.30
bonufazy [111]

Answer: b = 100

Step-by-step explanation:

simplifying

2.02b + 4.30 = 2.00b + 6.30

reorder the terms:

4.30 + 2.02b = 2.00b + 6.30

reorder the terms:

4.30 + 2.02b = 6.30 + 2.00b

solving

4.30 + 2.02b = 6.30 + 2.00b

solving for variable 'b'.

move all terms containing b to the left, all other terms to the right.

add '-2.00b' to each side of the equation.

4.30 + 2.02b + -2.00b = 6.30 + 2.00b + -2.00b

combine like terms: 2.02b + -2.00b = 0.02b

4.30 + 0.02b = 6.30 + 2.00b + -2.00b

combine like terms: 2.00b + -2.00b = 0.00

4.30 + 0.02b = 6.30 + 0.00

4.30 + 0.02b = 6.30

add '-4.30' to each side of the equation.

4.30 + -4.30 + 0.02b = 6.30 + -4.30

combine like terms: 4.30 + -4.30 = 0.00

0.00 + 0.02b = 6.30 + -4.30

0.02b = 6.30 + -4.30

combine like terms: 6.30 + -4.30 = 2

0.02b = 2

divide each side by '0.02'.

getting:  b = 100

6 0
3 years ago
16-25(b+3) square
Andre45 [30]
Since 16 and 25 are perfect squares you can factor the first part.
4^2-5^2(b+3)^2
=(4-5(b+3))(4+5(b+3))
=(4-5b-15)(4+5b+15)
=(-11-5b)(19+5b)

Which can be expanded if necessary,
= -209+150b-25b^2
4 0
3 years ago
Help&amp;EXPLAIN <br><br> Don’t use for points or will be reported and I’ll take the points back
ella [17]

Answer:

x = 60°

Step-by-step explanation:

since, the triangles are complementary the sum of their measures will be 90°

now,

  • =》30° + x = 90°

  • =》x = 90° - 30°

  • =》x = 60°
4 0
2 years ago
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