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2 years ago

What is five plus (-12)

Mathematics

2 answers:

Deffense [45]2 years ago

8 0

Answer:

5+(-12)=-7

Step-by-step explanation:

simple

Nitella [24]2 years ago

3 0

Five plus (-12) is -7

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Write the equation of the perpendicular bisector of . Point B is located at (–3, 1), and point C is located at (1, 5).

maxonik [38]

The equation of perpendicular bisector of BC is

$y=-x+2$

Further explanation:

A perpendicular bisector passes through the mid-point of a line so to get an ordered pair from which the perpendicular bisector will pass we need to find the mid-point of BC.

$Mid-point = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )\\Here\\(x_1,y_1) = (-3,1)\\(x_2,y_2) = (1,5)\\Putting\ values\ in\ formula\\M = (\frac{-3+1}{2} , \frac{1+5}{2} )\\= (\frac{-2}{2} ,\frac{6}{2})\\= (-1, 3)$

So the perpendicular bisector will pass through (-1,3)

Let m1 be the slope of BC

Then

$m_1 = \frac{y_2-y_1}{x_2-x_1} \\=\frac{5-1}{1+3} \\=\frac{4}{4}\\ =1$

Let m2 be the slope of perpendicular bisector

We know that the product of slopes of perpendicular lines is -1.

$m_1.m_2 = -1\\1*m_2 = -1\\m_2 = -1$

The standard form of point-slope form of line is:

$y=mx+b$

Putting the value of slope of bisector we get

$y=(-1)(x)+b\\y=-x+b$

To find the value of b, put the ordered pair (-1,3) in the equation

$3 = -(-1) +b\\3= 1+b\\3-1 =b\\b=2\\$

Putting the values of m and b in standard form

$y=-x+2$

Hence the equation of perpendicular bisector of BC is

$y=-x+2$

Keywords: Perpendicular bisector, Point-slope form

Learn more about point-slope form at:

#LearnwithBrainly

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3 years ago

A 12 pack of diet soda has dimensions 4.75in and 28.5in whats the volume of the 12 pack round to the nearest ten

ExtremeBDS [4]

Answer:

$Volume = 643.0\ in^3$

Step-by-step explanation:

Given

Dimension: 4.75in, 4.75in and 28.5in

[The complete dimension is missing from the question]

Required

Calculate the volume

The volume is calculated as thus:

$Volume = 4.75in * 4.75in * 28.5in$

$Volume = 643.03125in^3$

$Volume = 643.0\ in^3$ --- approximated

6 0

3 years ago

Evaluate the following expression. Round your answer two decimal places. Log3(10)

Elanso [62]

$\bf \textit{Logarithm Change of Base Rule}
\\\\
log_a b\implies \cfrac{log_c b}{log_c a}\\\\
-------------------------------\\\\
log_3(10)\implies \cfrac{log_{10}(10)}{log_{10}(3)}\implies \cfrac{1}{log(3)}$

and you can just plug that in your calculator.

3 0

3 years ago

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You owe $1,000 on a credit card that has an interest rate of 27.99% and make only the minimum payment of $20 each month. Which a

mel-nik [20]

Answer: The credit card will paid off within 10 years, therefore the correct option is D.

Explanation:

Let the number of years in which the credit card will aid of be x.

It is given that amount owed on credit card is $1000 with interest rate 27.99%.

So the amount of interest is calculated as,

$1000\times \frac{27.99}{100} =\$27.9$

The total amount have to pay is,

$\$1000+\$279.9=\$1279.9$

The minimum payment is $20 each month.

$x=\frac{1279.9}{20}$

$x=63.995$

So, the credit card will paid of in 63.995 months. We know that 1 year =12 months.

$\frac{63.995}{12} =5.33$

Therefore, the will paid of in 5.33 years, s we can say that the credit card will paid off within 10 years, therefore the correct option is D.

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2 years ago

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The value of the 7 in 27,459 is how many times the value of the 7 in 40,735?

alukav5142 [94]

Answer:

Step-by-step explanation:

The 7 in 27,459 is in the thousands place.

The 7 in 40,735 is in the hundreds place.

Any digit in the thousands place has 10 times the value of the same digit in the hundreds place. (The multiplier is 1000, instead of 100.)

_____

In the base-10 number system, each digit location has 10 times the value of the location to its right. The value is determined by the place the digit occupies in the number. That is why it is called a place-value number system.

4 0

3 years ago

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