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Dafna11 [192]
3 years ago
14

What is the slope of the line that passes through (1, 4) and (1, −3)?

Mathematics
1 answer:
Mazyrski [523]3 years ago
6 0

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (1, 4) and (1, -3). Substitute:

m=\dfrac{-3-4}{1-1}=\dfrac{-7}{0}\qquad\boxed{!!!!}

DIVISION BY ZERO!!!

Answer: The slope is undefined.


It's a vertical line x = 1.

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Answer for number 4 is \frac{\bold2}{\bold3} hour.

Step-by-step explanation:

Maximum hour spent for all homework (English homework + math homework) is 2 hours.

Let us assume the hours spent for English homework be 'e'.

It is given that:

(Hours spent for math homework) = 2 × (Hours spent for English homework)

Hours spent for math homework = 2 × e = 2e

Total hours spent = (Hours spent for math homework) + (Hours spent for English homework)

Total hours spent = 2e + e = 3e

2 = 3e

3e = 2

∴ e = \frac{\bold2}{\bold3}

Therefore number of hours spent on English homework is equal to \frac{\bold2}{\bold3} hours.

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3 years ago
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I think it is 47 not sure
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what number could be included in the data set 9,12,17,15,13 so the MEDIAN of the numbers in the set results in 14?
Georgia [21]

<em><u>Your answer is 12,17,15,13 if you take out the 9 your median will be 14.</u></em>


~*"AUBA14"*~

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3 years ago
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Answer:

{ \sf{( \sec \theta -  \csc \theta)(1 +  \tan \theta +  \cot \theta) }} \\  = { \sf{( \sec \theta +  \tan \theta \sec \theta +  \cot  \theta \sec  \theta) - ( \csc  \theta -   \csc \theta \tan  \theta -  \csc \theta \cot  \theta)}} \\  = { \sf{( \sec \theta +  \sec \theta \tan  \theta +  \csc  \theta) - (  \csc  \theta -  \sec \theta -  \csc  \theta \cot   \theta)}} \\  = { \sf{ \sec  \theta \tan  \theta +  \csc \theta \cot \theta }} \\ { \bf{hence \: proved}}

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3 years ago
L varies directly with the square of Z. L is 12 when Z is 2. Find the value of L when Z is 4.
kow [346]

Answer:

L = 48

Step-by-step explanation:

Given that L varies directly with Z² , then the equation relating them is

L = kZ² ← k is the constant of variation

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12 = k × 2² = 4k ( divide both sides by 4 )

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L = 3Z² ← equation of variation

When Z = 4 , then

L = 3 × 4² = 3 × 16 = 48

7 0
3 years ago
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