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Ratling [72]
3 years ago
12

Numărul cu 289 mai mic decât 812

Mathematics
1 answer:
blondinia [14]3 years ago
4 0

Answer:

The number is 523

Step-by-step explanation:

<u><em>The question is English is</em></u>

Number 289 less than 812

Let

x ----> the number

To find out the number subtract 289 from 812

so

812-289=523

therefore

The number is 523

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A small office purchases bottled drinking water. The water comes in containers that hold gallons. Two-thirds of the office conta
Zarrin [17]

Answer:

213.333 ounces

Step-by-step explanation:

A small office purchases bottled drinking water. The water comes in containers that hold 5 gallons. Two-thirds of the office container was drained last week to put out a fire in the wastebasket.

a. How much water (in ounces) is left in the container?

b. How many 12-ounce glasses can be filled with the water that remains in the container

Container = 5 gallons

Two-thirds was drained last week to put out a fire in the wastebasket

That is 2/3 of 5

= 2/3 × 5

= 10 / 3 gallons

Water left in the container = 5 - 10/3

= 15-10/3

= 5/3 gallons

Convert 5/3 gallons to ounces

5/3 gallons = 213.333 ounces

B. Number of 12 ounces glass that can be filled from the water left in the container = 213.333 ounces / 12

= 17.77775

Approximately 18

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3 years ago
Stacey has a long way to walk in between classes because the road she would normally take is blocked by construction. After the
-BARSIC- [3]

Answer: Functional Fixedness

Step-by-step explanation:

4 0
3 years ago
write an equation in point-slope form for the perpendicular bisector of the segment with endpoints at A(-2,2) and B(5,4)
dimaraw [331]

The equation in point-slope form for the perpendicular bisector of the segment with endpoints at A(-2,2) and B(5,4) is y - 3 = \frac{-7x}{2}+ \frac{21}{4}

<h3><u>Solution:</u></h3>

Given that we have to write equation in point-slope form for the perpendicular bisector of the segment with endpoints at A(-2,2) and B(5,4)

Let us first find the slope of given line AB

<em><u>The slope "m" of the line is given as:</u></em>

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Here the given points are A(-2,2) and B(5,4)

\text {Here } x_{1}=-2 ; y_{1}=2 ; x_{2}=5 ; y_{2}=4

m=\frac{4-2}{5-(-2)}=\frac{2}{7}

Thus the slope of line with given points is \frac{2}{7}

We know that product of slopes of given line and slope of line perpendicular to given line is always -1

\begin{array}{l}{\text {slope of given line } \times \text { slope of perpendicular bisector }=-1} \\\\ {\frac{2}{7} \times \text { slope of perpendicular bisector }=-1} \\ \\{\text {slope of perpendicular bisector }=\frac{-7}{2}}\end{array}

The perpendicular bisector will run through the midpoint  of the given points

So let us find the midpoint of A(-2,2) and B(5,4)

<em><u>The midpoint formula for given two points is given as:</u></em>

\text {For two points }\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right), \text { midpoint } \mathrm{m}(x, y) \text { is given as }

m(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)

Substituting the given points A(-2,2) and B(5,4)

m(x, y)=\left(\frac{-2+5}{2}, \frac{2+4}{2}\right)=\left(\frac{3}{2}, 3\right)

Now let us find the equation of perpendicular bisector in point slope form

The perpendicular bisector passes through points (3/2, 3) and slope -7/2

<em><u>The point slope form is given as:</u></em>

y - y_1 = m(x - x_1)

\text { Substitute } \mathrm{m}=\frac{-7}{2} \text { and }\left(x_{1}, y_{1}\right)=\left(\frac{3}{2}, 3\right)

y - 3 = \frac{-7}{2}(x - \frac{3}{2})\\\\y - 3 = \frac{-7x}{2}+ \frac{21}{4}

Thus the equation in point-slope form for the perpendicular bisector of the segment with endpoints at A(-2,2) and B(5,4) is found out

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4 he can make four cuAse u can cut 8/10s into 4)5

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Answer:

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