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3 years ago

What is the equation of the following line (4 -3) (0 0)

Mathematics

2 answers:

Zepler [3.9K]3 years ago

7 0

The answer is D

If you used the slope formula (y2-y1/x2-x1) you would get a slope of -3/4.

Pie3 years ago

3 0

Answer: The correct option is (D) $y=-\dfrac{3}{4}x.$

Step-by-step explanation: We are given to find the equation of a straight line passing through the points (4, -3) and (0, 0).

We know that the slope of a line passing through the points (a, b) and (c, d) is given by

$m=\dfrac{d-b}{c-a}.$

So, the slope of the given line is

$m=\dfrac{-3-0}{4-0}=-\dfrac{3}{4}.$

Since the line passes through the point (0, 0), so its equation will be

$y-0=m(x-0)\\\\\Rightarrow y=-\dfrac{3}{4}x.$

Thus, the required equation of the given line is $y=-\dfrac{3}{4}x.$

Option (D) is CORRECT.

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If CD=18, find the value of EB.

aliina [53]

Step-by-step explanation:

Chord AB and Chord CD are equidistant from the center of the circle.

$\therefore \: chord \: AB \cong chord \: CD \\ \\ \therefore \: \frac{1}{2} \: \: AB \cong \frac{1}{2} \: \: CD \\ \\ \therefore \: EB = \frac{1}{2} \: \times 18\\ \\ \huge \purple{ \boxed{\therefore \: EB =9}}$

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3 years ago

Theorem: A line parallel to one side of a triangle divides the other two proportionately.

Elenna [48]

Answer:

Segment BF = 16 is true.

Step-by-step explanation:

Since, DE is parallel to BC, so DE will divide AB and AC proportionally.

Hence,

$\frac{AE}{EC} = \frac{AD}{DB}$

⇒ $\frac{12}{18} = \frac{6}{DB}$

{Since, given that AE = 12, EC = 18 and AD = 6}

⇒ BD = 9.

Again, since, EF is parallel to AB, so EF will divide BC and AC proportionally.

Hence, $\frac{CE}{AE} = \frac{FC}{BF}$

⇒ $\frac{18}{12} = \frac{24}{BF}$

{Since, given that AE = 12, EC = 18 and FC= 24}

⇒ BF = 16.

Therefore, segment BF = 16 is true. (Answer)

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3 years ago

Three members of a 5 - person committee must be chosen to form a subcommittee. How many different subcommittees could be formed?

kenny6666 [7]

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Step-by-step explanation:

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3 years ago

What is 481 divided by 8?Is it 60 with a remainder of 1 ?

Marizza181 [45]

Yes. 60 remain 1 or 60.125 .

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4 years ago

Evaluate 2/3+3/4 <br> 1and5/12

chubhunter [2.5K]

2/3 + 3/4 = 8/12 + 9/12 = 17/12 = 1 5/12

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3 years ago