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Bas_tet [7]
3 years ago
6

Write an equation of the line that passes through (0,-5) and is perpendicular to the line y=4/5x.

Mathematics
1 answer:
Illusion [34]3 years ago
3 0

Answer:

y = -5/4x - 5

Step-by-step explanation:

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Find the volume of a cylinder with a diameter of 8 inches and a height that is 3 times the radius. Use 3.14 for pi round answer
masha68 [24]

Answer:

603.19

Step-by-step explanation:

v=πr^{2} h

pi is 3.14

Radius= Diameter/2= 4, so r square= 16

Height= Radius*3=12

So volume= 3.14*16*12=603.19

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3 years ago
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Harman [31]
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If we are to write this equation in slope-intercept form, it will be in y = mx + b, where m is the slope of the line and b is the y intercept.  We need then to find the slope of the line using 2 points on the line and filling in the slope formula to find the slope.  One of the points we can use is (0, 3) which is also the y intercept.  The y-intercept is found where x = 0.  Where x = 0, y = 3.  So b = 3.  Now for the slope we will use (0,3) and (4,4):  m= \frac{4-3}{4-0} = \frac{1}{4}.  Using that m value and that b value we have the equation y= \frac{1}{4}x+3.  There you go!
3 0
3 years ago
A parabolic arch has a height of 25 feet and a span of 40 feet. How high is the arch 8 feet from each side of the center?
Llana [10]

Answer:

The correct option is;

21 ft

Step-by-step explanation:

The equation of the parabolic arc is as follows;

y = a(x - h)² + k

Where the height is 25 ft and the span is 40 ft, the coordinates of the vertex (h, k) is then (20, 25)

We therefore have;

y = a(x - 20)² + 25

Whereby the parabola starts from the origin (0, 0), we have;

0 = a(0 - 20)² + 25

0 = 20²a + 25 → 0 = 400·a + 25

∴a = -25/400 = -1/16

The equation of the parabola is therefore;

y = (-\frac{1}{16})(x-20)^2 + 25

To find the height 8 ft from the center, where the center is at x = 20 we have 8 ft from center = x = 20 - 8 = 12 or x = 20 + 8 = 28

Therefore, plugging the value of x = 12 or 28 in the equation for the parabola gives;

y = (-\frac{1}{16})(12-20)^2 + 25 = (-\frac{1}{16})(-8)^2 + 25 = 21 \ ft.

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3 years ago
A person can teyp 150 words in 5 minutes at the persons rate how many words can that person tyep in one minite
Deffense [45]
150/5=30
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