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ASHA 777 [7]
3 years ago
6

For the straight line defined by the points (4,57) and (6,91) , determine the slope ( m ) and y-intercept ( ???? ). Do not round

the answers.
Mathematics
1 answer:
Ksivusya [100]3 years ago
4 0

\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{57})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{91}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{91}-\stackrel{y1}{57}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{4}}}\implies \cfrac{34}{2}\implies 17 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{57}=\stackrel{m}{17}(x-\stackrel{x_1}{4})\implies y-57=17x-68

\bf y=17x-11\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \qquad \begin{cases} \stackrel{slope}{17}\\\\ \stackrel{y-intercept}{(0,-11)} \end{cases}

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The board of a large company is made up of 7 women and 9 men. 6 of them will go as a delegation to a national conference.
Burka [1]

Answer:

a) 5765760

b) 60480

c) 5705280

Step-by-step explanation:

Assuming that order is not important:

Number of women = 7

Number of men = 9

Members of the delegation = 6

a) How many delegations are possible?

n=\frac{16!}{(16-6)!}=16*15*14*13*12*11\\ n= 5765760

b) How many of these delegations have all men?

n_{men} = \frac{9!}{(9-6)!}=9*8*7*6*5*4  \\n_{men} = 60480

c) How many of these delegations have at least one woman?

n_{women >0}=n-n_{men}\\n_{women >0} =5765760-60480\\n_{women >0} =5705280

4 0
4 years ago
4 QUESTIONS 20 POINTS
storchak [24]
Coresponding is
1to5
4to8
3to7
2to6
pick 2 pairs (there are 4 pairs)

alternate interior angles are
4and5
3and6

angle7=angle6=angle2=angle3=106 degrees

angle7+angle8=180
106+angle8=180
angle8=74











1to5
4to8
3to7
2to6
pick 2 pairs (there are 4 pairs)

alternate interior angles are
4and5
3and6

angle7=106 degrees

angle8=74




5 0
3 years ago
Rewrite using the Distributive Property and GCF 13+36
Angelina_Jolie [31]

Answer:

Step-by-step explanation:

13 and 36 have no common factor except 1.

Perhaps you meant that the 13 should be 12. In that case

GCF

  • 12 = 2*2*3
  • 36 = 2*2 *3 * 3

The greatest common factor is 2 * 2 * 3

If there is a number that is not bolded, it is what is left behind inside the backets the distributive property creates.

Answer:<em> </em><em>12(1 + 3)</em>

<em />

Note: the 1 is part of the answer inside the brackets when one of the numbers inside the brackets and the GCF are the same

4 0
2 years ago
Someone help me with this ASAP
ratelena [41]

Answer:

Step-by-step explanation:

Bag A contains 9(5/9) pounds of coffee

Bag B contains 9(2/3) pounds of coffee

Which bag contains less coffee?

          ( 2/3) is the same as (6/9)

Now that the denominators are the same, if we compare the numerators, 5 is less than 6 (5 parts of 9 is less than 6 parts of 9)

Bag A contains less coffee than bag B

9(5/9) < 9(2/3)

A)   0.73

B) 21.93

C) 7.67

5&5-----------5

10&14------------2

20&36-----------2

8 0
3 years ago
Read 2 more answers
Geometry
matrenka [14]
Answers:
Reason 2: Reflexive Property of Congruence
Reason 4: Hinge Theorem

----------------------------------------------

Explanation:

The reflexive property of congruence basically says that any angle is congruent to itself. Also, any segment is congruent to itself. It's a trivial thing to think about, but needed for this proof to work

The hinge theorem says that the larger the angles are, the larger the opposite side will be. Think of a door opening on a hinge. The larger the hinge angle, the further the door will be from the frame. 

5 0
3 years ago
Read 2 more answers
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