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Vadim26 [7]
3 years ago
12

Needed help for my math please

Mathematics
1 answer:
vesna_86 [32]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

(a)

\frac{a}{a} = 1 ( any value divided by itself = 1 )

(b)

\frac{a}{1} = a ( any value divide by 1 is the value itself )

(c)

\frac{a}{b} × \frac{c}{d} = \frac{ac}{bd}

The product of 2 fractions is the product of the numerators divided by the product of the denominators

(d)

\frac{a}{b} ÷ \frac{c}{d} = \frac{ad}{bc}

To divide 2 fractions, leave the first fraction, change division to multiplication and turn the second fraction upside down, that is

\frac{a}{b} ÷ \frac{c}{d} = \frac{a}{b} × \frac{d}{c} = \frac{ad}{bc}

(e)

\frac{a}{d} + \frac{b}{d} = \frac{a+b}{d}

Since the fractions have a like denominator, add the numerators leaving the denominator. This applies to subtraction also

(f)

\frac{a}{d} - \frac{b}{d} = \frac{a-b}{d}

See explanation for part (e)




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Need help with this please.
sp2606 [1]

Answer:

y = -\frac{3}{2} x + 4

Step-by-step explanation:

First, let us find the gradient of AB:

Gradient of AB = \frac{-1-3}{-1-5}

                         = \frac{2}{3}

We also need to know that The <em>product of gradients which are perpendicular to each other is -1</em>. Using this idea, we can find the gradient of the perpendicular bisector:

(Gradient of perpendicular bisector)( \frac{2}{3} ) = -1

Gradient of perpendicular bisector = -\frac{3}{2}

Now, we need to know at which coordinates the perpendicular bisector intersects AB. <em>A perpendicular bisector bisects a line to two equal parts</em>. Hence the <em>coordinates of the intersection point is the midpoint of AB</em>. Thus,

Coordinates of intersection = ( \frac{-1 + 5}{2}, \frac{-1 + 3}{2} )

                                              = ( 2, 1 )

Now, we can construct our equation. The equation of a line can be formed using the formula (y - y_{1}) = m(x - x_{1}) where m is the gradient and the line passes through (x_{1} , y_{1} ). Hence by substituting the values, we get:

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y = -\frac{3}{2} x + 4<u />

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3 years ago
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