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3 years ago

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Tema [17]3 years ago

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What is the slope of a line parallel to line A?<br><br> A. -4/7<br> B. -7/4<br> C. 4/7<br> D. 7/4

Virty [35]

C. 4/7

Parallel lines have the same slope, so u must find the slope of line a
To find the slope you take two points and use the formula (y2-y1)/x2-x1
The two points given are (-7,0) and (0,4)
To figure it out fill in the formula with the points
Slope= 4-0/0-(-7)
=4/7

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3 years ago

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Find the slope of (1,2),(4,3)

dalvyx [7]

Answer:

m= 1/3

Step-by-step explanation:

to find slope: y2-y1/ x2-x1 so,

3-2/4-1= 1/3

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3 years ago

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Determine the volume of this prism

nikdorinn [45]

Answer:

200cm cubed

Step-by-step explanation:

Remember that volume of a rectangular prism is length x width x height

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3 years ago

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kotykmax [81]

Answer:

$\displaystyle y=-\frac{1}{2}x+\frac{11}{2}$

Step-by-step explanation:

<u>Equation of the Line</u>

A line of slope m and y-intercept b can be expressed by the equation:

$y=mx+b$

The given line has the equation:

$8x-4y=-24$

Let's express it in the correct form:

$-4y=-24-8x$

Dividing by -4

$y=2x+6$

The slope of this line is m1=2. To find the slope m2 of a line perpendicular to this one, we use the following equation:

$m_1.m_2=-1$

Solving for m2:

$\displaystyle m_2=-\frac{1}{m_1}$

$\displaystyle m_2=-\frac{1}{2}$

The required equation has the form:

$\displaystyle y=-\frac{1}{2}x+b$

To find b, we use the point (3,4) through which the line passes:

$\displaystyle 4=-\frac{1}{2}(3)+b$

$\displaystyle b=4+\frac{3}{2}=\frac{11}{2}$

Thus the equation of the line is:

$\boxed{\displaystyle y=-\frac{1}{2}x+\frac{11}{2}}$

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3 years ago

Find the specified nth term in the expansion of the binomial.<br> (8a + 3b)5, n = 5

fgiga [73]

Answer:

b= 1/3n - 8a/3

Step-by-step explanation:

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2 years ago