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3 years ago

Mr. Kiernan decides to purchase a new West Virginia flag for his room that is double

Mathematics

2 answers:

Alla [95]3 years ago

4 0

Answer:

$50.16

Step-by-step explanation:

There is a sale tax on the item to be purchased, and the tax is 4.5% of the amount of the flag i.e 4.5% × $48.00 = $2.16

After the rate of the sale tax has been changed to dollars, we then add the amount of the sales to the amount of the flag to give the total amount to be paid i.e $2.16 + $48.00 = $50.16

Thank You

kherson [118]3 years ago

4 0

Answer:

$50.16

Step-by-step explanation:

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Jackson drove 1,080 miles<br> in 20 hours. What was his<br> speed in miles per hour?

Darina [25.2K]

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54mph

Step-by-step explanation:

To find the speed in "miles per hour" or miles/hour, divide the number of miles by number of hours.

1080 miles/20 hours

= 54miles/hour

His speed is 54 miles per hour.

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3 years ago

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hodyreva [135]

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Step-by-step explanation:

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4 years ago

How many real solutions does the equation 2( x-1 )^2 +5=3 have?

Cloud [144]

There is no solution. 2(x-1)^2 = 3-5 (x-1)^2 = -1 you will get an imaginary solution

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3 years ago

whats the equation for the perpendicular bisector of the line segment whose endpoints are (-5,3) and (3,7)?

riadik2000 [5.3K]

Answer:

The equation of perpendicular bisector of the line segment passing through (-5,3) and (3,7) is: $y = -2x+3$

Step-by-step explanation:

Given points are:

(-5,3) and (3,7)

The perpendicular bisector of line segment formed by given points will pass through the mid-point of the line segment.

First of all we have to find the slope and mid-point of given line

Here

(x1,y1) = (-5,3)

(x2,y2) = (3,7)

The slope will be:

$m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{7-3}{3+5}\\m = \frac{4}{8}\\m = \frac{1}{2}$

The mid-point will be:

$(x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\ = (\frac{-5+3}{2},\frac{3+7}{2})\\= (\frac{-2}{2},\frac{10}{2})\\=(-1,5)$

Let m1 be the slope of the perpendicular bisector

Then using, "Product of slopes of perpendicular lines is -1"

$m.m_1 = -1\\\frac{1}{2}.m_1 = -1\\m_1 = -1*2\\m_1 = -2$

We have to find the equation of a line with slope -2 and passing through (-1,5)

The slope-intercept form is given by:

$y = mx+b\\y = -2x+b$

Putting the point (-1,5) in the equation

$5 = -2(-1)+b\\5 = 2+b\\b = 5-2\\b = 3$

The final equation is:

$y = -2x+3$

Hence,

The equation of perpendicular bisector of the line segment passing through (-5,3) and (3,7) is: $y = -2x+3$

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3 years ago