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3 years ago

Write each in its standard form: 2.726×10⁸

Mathematics

1 answer:

denis-greek [22]3 years ago

5 0

272,600,000 to standard form is 2.726(10^8)

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Write an equation of the perpendicular bisector of the segment with the endpoints (8,10) and ( -4,2).

ale4655 [162]

Answer:

The required equation is:

$y = -\frac{3}{2}x+9$

Step-by-step explanation:

To find the equation of a line, the slope and y-intercept is required.

The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.

Given points are:

$(x_1,y_1) = (8,10)\\(x_2,y_2) = (-4,2)$

We will find the slope of given line segment first

$m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{2-10}{-4-8}\\=\frac{-8}{-12}\\=\frac{2}{3}$

Let m_1 be the slope of perpendicular bisector then,

$m.m_1 = -1\\\frac{2}{3}.m_1 = -1\\m_1 = \frac{-3}{2}$

Now the mid-point

$(x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\= (\frac{8-4}{2} , \frac{10+2}{2})\\=(\frac{4}{2}, \frac{12}{2})\\=(2,6)$

We have to find equation of a line with slope -3/2 passing through (2,6)

The equation of line in slope-intercept form is given by:

$y = m_1x+b$

Putting the value of slope

$y= -\frac{3}{2}x+b$

Putting the point (2,6) to find the y-intercept

$6 = -\frac{3}{2}(2)+b\\6 = -3+b\\b = 6+3 =9$

The equation is:

$y = -\frac{3}{2}x+9$

7 0

3 years ago

You are hanging 3 display shelves with the same width on a wall so that there is 18 inches of space above each shelf for placing

Kazeer [188]

Answer:

You need to have a minimum of 16 inches of clearance.

Step-by-step explanation:

4 0

3 years ago

X/5+7=3<br> tellme fastplease

Aliun [14]

Answer:

-20

Step-by-step explanation:

x/5=3-7

x/5=-4

x=-4×5

x=-20

5 0

2 years ago

How many repeating digits are in 0.536

creativ13 [48]

There are 3 repeating digits in 0.536 because there are 3 numbers behind the decimal

4 0

3 years ago

Read 2 more answers

Jessica wants to plan where she will place furniture in her room, so she has drawn a scale model of her room in order to begin p

Setler79 [48]

To solve this problem you must apply the proccedure shown below:
1. You have that:
<span> - The scale model is 11 inches long and 8.5 inches wide.
- The door to her room takes up 1.75 inches.
- The longest wall in Jessica’s actual room is 15 feet long.
2. Therefore, the actual size of the door is:
15 feet=180 inches
1.75 inches(180 inches/11 inches)=28.63 inches
3. If the door in completely open, you must apply the formula for calculate the area of a semicircle:
A=</span>πr²/2
r=28.63 inches
A=π(28.63 inches)²/2
A=1288.11 inches²
The answer is: 1288.11 inches²

5 0

3 years ago

Write each in its standard form: 2.726×10⁸​

Write each in its standard form: 2.726×10⁸