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3 years ago

Can someone pls help me with this its sooo confusing

Mathematics

1 answer:

Mademuasel [1]3 years ago

4 0

9514 1404 393

Answer:

$189.32

Step-by-step explanation:

Add all of the numbers shown to the beginning balance to find the ending balance.

$92.19 -39.35 +49.76 +87.35 +9.97 -10.60 = $189.32

Tristan's balance at the end of the month was $189.32.

There should be no confusion. Money deposited into the account increases the balance by the amount deposited.

Money spent from the account decreases the balance by the amount spent.

Here, amounts deposited are given a plus sign (+); amounts spent are given a minus sign (-).

<em>Additional comment</em>

It can be tedious to enter these numbers correctly into a calculator. Many folks prefer a calculator that provides a "tape", a record of the amounts and operations the calculator uses in the computation. Alternatively, you can put the numbers in a spreadsheet and use the SUM function to do the addition for you. That, too, makes it easy to check that numbers have been entered correctly.

The attachment shows the calculation done in a spreadsheet.

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Answer:

Part 1) $9x-7y=-25$

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Part 8)

case A) The equation of the diagonal AC is $x+y=0$

case B) The equation of the diagonal BD is $x-y=0$

Step-by-step explanation:

Part 1)

step 1

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The formula to calculate the midpoint between two points is equal to

$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

substitute the values

$M=(\frac{2-6}{2},\frac{-3+5}{2})$

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step 2

The equation of the line into point slope form is equal to

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step 3

Convert to standard form

Remember that the equation of the line into standard form is equal to

$Ax+By=C$

where

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$y=\frac{9}{7}x+\frac{25}{7}$

Multiply by 7 both sides

$7y=9x+25$

$9x-7y=-25$

Part 2)

step 1

Find the midpoint

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

substitute the values

$M=(\frac{1+5}{2},\frac{0-2}{2})$

$M=(3,-1)$

step 2

Find the slope

The slope between two points is equal to

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step 3

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

Find the slope of the line perpendicular to the segment joining the given points

$m1=-\frac{1}{2}$

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therefore

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step 4

The equation of the line into point slope form is equal to

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we have

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step 5

Convert to standard form

Remember that the equation of the line into standard form is equal to

$Ax+By=C$

where

A is a positive integer, and B, and C are integers

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Part 3)

In this problem AB and BC are the legs of the right triangle (plot the figure)

step 1

Find the midpoint AB

$M1=(\frac{-5+1}{2},\frac{5+1}{2})$

$M1=(-2,3)$

step 2

Find the midpoint BC

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step 3

Find the slope M1M2

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step 4

The equation of the line into point slope form is equal to

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step 5

Convert to standard form

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$Ax+By=C$

where

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Part 4)

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step 1

Find the slope AC

The slope between two points is equal to

$m=\frac{4-5}{3+5}=-\frac{1}{8}$

step 2

The equation of the line into point slope form is equal to

$y-y1=m(x-x1)$

we have

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$y=-\frac{1}{8}x+\frac{3}{8}+4$

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step 3

Convert to standard form

Remember that the equation of the line into standard form is equal to

$Ax+By=C$

where

A is a positive integer, and B, and C are integers

$y=-\frac{1}{8}x+\frac{35}{8}$

Multiply by 8 both sides

$8y=-x+35$

$x+8y=35$

Part 5)

The longer diagonal is the segment BD (plot the figure)

step 1

Find the slope BD

The slope between two points is equal to

$m=\frac{4+2}{6+2}=\frac{3}{4}$

step 2

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$y-y1=m(x-x1)$

we have

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step 3

Convert to standard form

Remember that the equation of the line into standard form is equal to

$Ax+By=C$

where

A is a positive integer, and B, and C are integers

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Note The complete answers in the attached file

Download docx

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