Please help w graphing Thank u !

Enter your answer as a simplified fraction formatted like this: 42/53

expeople1 [14]

Answer:

$\displaystyle -0.\overline{37}=-\frac{37}{99}$

Step-by-step explanation:

Convert a Repeating Decimal to a Fraction

We need to convert the following decimal to a fraction:

$-0.\overline{37}$

Let's call x to the given number:

$x=-0.\overline{37}$

The number has two repeating (periodic) decimals, thus we multiply by 100:

$100x=-37.\overline{37}$

Note the decimals continue to repeat exactly like the original number.

Subtracting both expressións, the repeating decimals are simplified:

$100x - x = -37$

Operating:

99x=-37

Dividing by 99:

$\displaystyle x=-\frac{37}{99}$

The fraction cannot be simplified, thus:

$\mathbf{\displaystyle -0.\overline{37}=-\frac{37}{99}}$

8 0

2 years ago

Area of a triangle with points at (-9,5), (6,10), and (2,-10)

Ann [662]

First we are going to draw the triangle using the given coordinates.
Next, we are going to use the distance formula to find the sides of our triangle.
Distance formula: $d= \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Distance from point A to point B:
$d_{AB}= \sqrt{[6-(-9)]^2+(10-5)^2}$
$d_{AB}= \sqrt{(6+9)^2+(10-5)^2}$
$d_{AB}= \sqrt{(15)^2+(5)^2}$
$d_{AB}= \sqrt{225+25}$
$d_{AB}= \sqrt{250}$
$d_{AB}=15.81$

Distance from point A to point C:
$d_{AC}= \sqrt{[2-(-9)]^2+(-10-5)^2}$
$d_{AC}= \sqrt{(2+9)^2+(-10-5)^2}$
$d_{AC}= \sqrt{11^2+(-15)^2}$
$d_{AC}= \sqrt{121+225}$
$d_{AC}= \sqrt{346}$
$d_{AC}= 18.60$

Distance from point B from point C
$d_{BC}= \sqrt{(2-6)^2+(-10-10)^2}$
$d_{BC}= \sqrt{(-4)^2+(-20)^2}$
$d_{BC}= \sqrt{16+400}$
$d_{BC}= \sqrt{416}$
$d_{BC}=20.40$

Now, we are going to find the semi-perimeter of our triangle using the semi-perimeter formula:
$s= \frac{AB+AC+BC}{2}$
$s= \frac{15.81+18.60+20.40}{2}$
$s= \frac{54.81}{2}$
$s=27.41$

Finally, to find the area of our triangle, we are going to use Heron's formula:
$A= \sqrt{s(s-AB)(s-AC)(s-BC)}$
$A=\sqrt{27.41(27.41-15.81)(27.41-18.60)(27.41-20.40)}$
$A= \sqrt{27.41(11.6)(8.81)(7.01)}$
$A=140.13$

We can conclude that the perimeter of our triangle is 140.13 square units.

3 0

3 years ago

What is the length of side DG? 12 in. 32 in. 36 in. 30 in.

taurus [48]

Answer:

36 in

Step-by-step explanation:

The ratio of proportionality between the two similar triangles is 1:6, which you can find by dividing the corresponding side length measures from each triangle (3/18 = 4/24). Then you can set up a proportion:

1/6 = 6/x, which you can solve to get x = 36

8 0

3 years ago

Simple interest on a bank loan can be calculated by multiplying the principal times the interest rate times the time. In the for

prisoha [69]

I = interest/simple interest

So your answer is D.

5 0

3 years ago

Read 2 more answers

The lines have the same slopes and the same y-intercepts.

MissTica