2 years ago

Find the gradient of the line segment between the points (10,-4) and (6,-16).

Mathematics

1 answer:

svet-max [94.6K]2 years ago

5 0

The answer is -3 . Use the gradient formula y2-y1/x2-x1

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AB and BC form a right angle at point B. If A = (-3,-1) and B = (4,4), what is the equation of BC

m_a_m_a [10]

Answer:

$y=-1.4x+9.6$

Step-by-step explanation:

If A = (-3,-1) and B = (4,4), the slope of AB is

$\text{Slope}_{AB}=\dfrac{-1-4}{-3-4}=\dfrac{-5}{-7}=\dfrac{5}{7}$

Two perpendicular lines have slopes that have product of -1:

$\text{Slopee}_{AB}\cdot \text{Slope}_{BC}=-1\\ \\\dfrac{5}{7}\cdot \text{Slope}_{BC}=-1\\ \\\text{Slope}_{BC}=-\dfrac{7}{5}=-1.4$

The equation of the line BC with slope -1.4 and passing through the point B(4,4) is

$y-4=-1.4(x-4)\\ \\y-4=-1.4x+5.6\\ \\y=-1.4x+9.6$

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3 years ago

Which of the following is a radius of circle B? BN MD NH

azamat

The correct answer is BN.

3 0

3 years ago

Determine the equations of the vertical and horizontal asymptotes if any for f(x)=x/x-5

Gelneren [198K]

Answer:

Horizontal Asymptote: x = 0

Vertical Asymptote: x = 5

Step-by-step explanation:

The function is given as $f(x)=\frac{x}{x-5}$

Horizontal asymptotes are found by equating numerator to 0 and solving for x

Vertical asymptotes are found by equating denominator to 0 and solving for x

Horizontal Asymptote:

x = 0

Vertical Asymptote:

x - 5 = 0

x = 5

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2 years ago

Camila was out at a restaurant for dinner when the bill came. Her dinner came to $32. After adding in a tip, before tax, she pai

Gnesinka [82]

Answer:

25%

Cause 125%-100%=25%

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2 years ago

Rita works 1234 hours in her first week at a new job. She works 1514 hours in the second week. How many more hours does Rita wor

Sphinxa [80]

Answer:

280

Step-by-step explanation:

1514-1234 = 280

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2 years ago