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2 years ago

Please help!! Maths question I don't understand!

Mathematics

1 answer:

djverab [1.8K]2 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

The statements tells us that w is inversely proportional to v and the equation relating them is

v = $\frac{k}{w}$ ← k is the constant of proportion

To find k use the condition v = 9, w = 5, that is

9 = $\frac{k}{5}$ ( multiply both sides by 5 )

45 = k

v = $\frac{45}{w}$ ← equation of proportion

When w = 4 , then

v = $\frac{45}{4}$ = 11.25

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Fittoniya [83]

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$m$ - given slope

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$Ax+By=C$

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2 years ago

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2 years ago

Write an equation of the perpendicular bisector of the line segment whose endpoints are (−1,1) and (7,−5)

icang [17]

The equation is $y = \frac{3}{2} x - \frac{11}{2}$

Explanation:

We have to first find the mid-point of the segment, the formula for which is

$(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )$

So, the midpoint will be $(\frac{-1+7}{2} , \frac{1-5}{2} )\\\\$

= $(3,-2)$

It is the point at which the segment will be bisected.

Since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula $\frac{y_2-y_1}{x_2-x_1}$

The slope is $\frac{-5-1}{7+1}$ = $-\frac{2}{3}$

Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of $-\frac{2}{3}$ is $\frac{3}{2}$

To write an equation, substitute the values in y = mx + c

WHere,

y = -1

x = 3

m = 3/2

Solving for c:

$-1 = \frac{3}{2} X 3 + c\\\\-1 = \frac{9}{2}+c\\ \\c = \frac{-2-9}{2} \\\\c = \frac{-11}{2}$

Thus, the equation becomes:

$y = \frac{3}{2} x - \frac{11}{2}$

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3 years ago

Angle 7 angle 1 angle 4 angle 3 angle 2 angle 8

mylen [45]

Answer:

The answer is angle 7, 3, and 2

Step-by-step explanation:

Angle 7 is vertical, angle 3 is alternate exterior, and angle 2 is corresponding.

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3 years ago

Item 19 A cylindrical container of four rubber balls has a height of 20 centimeters and a diameter of 5 centimeters. Each ball i

Lady_Fox [76]

First you need to find the volume of the cylinder. Then find the volume of all 4 rubber balls (spheres). Subtract the cylinder's volume by the spheres' volumes.

Volume of cylinder: πr²h
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Volume of sphere: 4/3πr³
4/3π2.5³ = 65.45 cm³

392.7 - 65.45 = 327.25

The amount of space in the container unoccupied by the rubber balls is 327 cm³.

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3 years ago