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3 years ago

PICTURE INCLUDED!! PLEASE HELP !! WHICH OF THE FOLLOWING EQUATIONS DESCRIBE THE LINE SHOWN BELOW (-1,6) (2,-6)

Mathematics

1 answer:

GalinKa [24]3 years ago

8 0

(-1,6)(2,-6)
slope = (-6 - 6) / (2 - (-1) = -12 / 3 = - 4

y = mx + b
slope(m) = -4
(-1,6)...x = -1 and y = 6
sub and find b
6 = -4(-1) + b
6 = 4 + b
6 - 4 = b
2 = b

ur equation is : y = -4x + 2 <== this is one

(-1,6)
y - 6 = -4(x + 1) <== this is one

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At a school with 100? students, 33 were taking? Arabic, 32 ?Bulgarian, and 40 Chinese. 9 students take only? Arabic, 12 take onl

Stels [109]

Answer: The answer is 4 and 32.

Step-by-step explanation: Let "A", "B" and "C" represents the set of students who were taking Arabic, Bulgarian and Chinese respectively.

The, according to the given information, we have

$n(A)=33,~~n(B)=32,~~n(C)=40,~~n(A\cap B)=14.$

Let 'p' represents the number of students who take all the three languages, then

$n(A\cap B\cap C)=p.$

Also,

$n(A)-n(A\cap B)-n(A\cap C)+n(A\cap B\cap C)=9\\\\\Rightarrow n(A\cap B)+n(A\cap C)=24+p~~~~~~~~~~~~~~(a),\\\\n(A\cap B)+n(B\cap C)=20+p~~~~~~~~~~~~~~(b),\\\\n(B\cap C)+n(A\cap C)=20+p~~~~~~~~~~~~~~~(c).$

From here, we get after subtracting equation(c) from (b) that

$n(A\cap B)=n(A\cap C)=14.$

Therefore,

$p=14+14-24=4,$ and from equation (a), we find

$n(B\cap C)=24-14=10.$

Thus,

$n(A\cap B\cap C)=4$ and

$n(A\cup B\cup C)=n(A)+n(B)+n(C)-n(A\cap B)-n(B\cap C)-n(A\cap C)+n(A\cap B\cap C)\\\\\Rightarrow n(A\cap B\cap C)=33+32+40-9-12-20+4\\\\\Rightarrow n(A\cap B\cap C)=68.$

Thus, the number of students who take all the three languages is 4 and the number of students who take none of the languages is 100-68 = 32.

5 0

3 years ago

Write the ratio in lowest terms: 4415 feet to 22245 feet

NemiM [27]

since they both end with 5 divide each number by 5

4415 = 883

22245/5 = 4449

there is no number that can go into 883 evenly

so the lowest term

would be 883/4449

8 0

3 years ago

Simplify and solve for d. 1/6d+2/3=1/4(d-2)

Dvinal [7]

1/6d + 2/3 = 1/4(d - 2)
1/6d + 2/3 = 1/4d -1/2
2/12d + 4/6 = 3/12d -3/6
4/6 = 1/12d - 3/6
7/6 = 1/12d
7/6 x 12/1 = d
84/6 = d
14 = d

So d = 14.

Hope I helped.. ^^

3 0

4 years ago

What is a angle for 40?

Vika [28.1K]

What are you trying to ask can you post a pic with the exact question?

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3 years ago

Use the table in the photo spot

grin007 [14]

San Francisco -
$20 \frac{3}{20} = \frac{403}{20} \\ 37 \frac{1}{5} \: \: = \frac{186}{5}$
$\frac{403}{20} + \frac{186}{5} = \frac{1147}{20} = 57 \frac{7}{20} = 57.35$
Estimated :
20 3/20=20
37 1/5=37
37+20=57

3 0

4 years ago