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Ket [755]
2 years ago
7

What is the equation of the blue line​

Mathematics
1 answer:
Elis [28]2 years ago
5 0

Answer: y+-1m -1

Step-by-step explanation:

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Which equation represents the line that passes through (–6, 7) and (–3, 6)? y = –y equals negative startfraction one-third endfr
egoroff_w [7]

The equation represents the line that passes through (–6, 7) and (–3, 6) \rm y=\dfrac{-1}{3}x+5.

<h3>What is the slope of the equation?</h3>

For all lines in slope y-intercept form, it would be very simple to just find the answer by finding yourself the slope and y-intercept of the line in question.

The slope of the line is;

\rm m = \dfrac{y_2-y_1}{x_2-x_1}\\\\m =\dfrac{7-6}{-6-(-3)}\\\\m = \dfrac{1}{-3}

The equation represents the line that passes through (–6, 7) and (–3, 6) is;

\rm y=\dfrac{-1}{3}x+b\\\\6=\dfrac{-1}{3}(-3)+b\\\\6=1+b\\\\b = 6-1\\\\b=5

The required line of the equation is;

\rm  y =mx+c\\\\y=\dfrac{-1}{3}x+5

Hence, the equation represents the line that passes through (–6, 7) and (–3, 6) \rm y=\dfrac{-1}{3}x+5.

To know more about the equation of line click the link given below.

brainly.com/question/8955867

3 0
2 years ago
for every three short horned lizards there are two fence lizards. If there are 54 short horned lizards how many fence lizards ar
Komok [63]

Answer: 36

Step-by-step explanation:

54/3 = 18 x 2 = 36

8 0
3 years ago
Using the digits 0 to 9 at most one time each, fill in the boxes to create a three-digit number. Try to create a three-digit num
zhenek [66]

Answer:

Greatest number of factors:  360 and 720 are both divisible by 2,3,4,5,6,8,9 and 10.

Step-by-step explanation:

3 0
3 years ago
Evaluate the expresssion |–12|–|8|.
ruslelena [56]
This essentially means 12-8
|| means absolute value which is the distance from 0 the number is
Basically it’s the number but positive

So the answer is 4
5 0
3 years ago
Read 2 more answers
Suppose that two openings on an appellate court bench are to be filled from current municipal court judges. The municipal court
Ksju [112]

Answer:

(a)\dfrac{92}{117}

(b)\dfrac{8}{39}

(c)\dfrac{25}{117}

Step-by-step explanation:

Number of Men, n(M)=24

Number of Women, n(W)=3

Total Sample, n(S)=24+3=27

Since you cannot appoint the same person twice, the probabilities are <u>without replacement.</u>

(a)Probability that both appointees are men.

P(MM)=\dfrac{24}{27}X \dfrac{23}{26}=\dfrac{552}{702}\\=\dfrac{92}{117}

(b)Probability that one man and one woman are appointed.

To find the probability that one man and one woman are appointed, this could happen in two ways.

  • A man is appointed first and a woman is appointed next.
  • A woman is appointed first and a man is appointed next.

P(One man and one woman are appointed)=P(MW)+P(WM)

=(\dfrac{24}{27}X \dfrac{3}{26})+(\dfrac{3}{27}X \dfrac{24}{26})\\=\dfrac{72}{702}+\dfrac{72}{702}\\=\dfrac{144}{702}\\=\dfrac{8}{39}

(c)Probability that at least one woman is appointed.

The probability that at least one woman is appointed can occur in three ways.

  • A man is appointed first and a woman is appointed next.
  • A woman is appointed first and a man is appointed next.
  • Two women are appointed

P(at least one woman is appointed)=P(MW)+P(WM)+P(WW)

P(WW)=\dfrac{3}{27}X \dfrac{2}{26}=\dfrac{6}{702}

In Part B, P(MW)+P(WM)=\frac{8}{39}

Therefore:

P(MW)+P(WM)+P(WW)=\dfrac{8}{39}+\dfrac{6}{702}\\$P(at least one woman is appointed)=\dfrac{25}{117}

5 0
3 years ago
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