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3 years ago

Edith must read for a minimum of 20 minutes.

Mathematics

1 answer:

damaskus [11]3 years ago

8 0

Answer:

The required inequality is: $20\leq E$ or $E\geq 20E$

The graph is shown in figure.

Step-by-step explanation:

Consider the provided information.

Edith must read for a minimum of 20 minutes.

Let the number of minutes is represented by x.

Edith must read minimum of 20 minutes that the value of x can be 20 or greater than it.

Thus, the required inequality is:

$20\leq E$ or $E\geq 20E$

Now draw the graph of the inequality.

Use a dot or close circle to represents ≤ or ≥.

The value of E is greater than or equal to 20 and the required graph is shown in figure.

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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.

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3 years ago

How do you find the minimum? It says the answer but I’m not sure how it is (4,-4)

Brilliant_brown [7]

Answer:

You could use a graphing calculator to see the lowest point in the graph OR you could put that equation into it's completed squared form, which is (x-4)^2 -4. The opposite of -4 in the parentheses is positive 4, and the leftover -4 is the y value. So that also becomes (4,-4)

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3 years ago

I want to thank everyone on here who has helped me!

wariber [46]

Omg that so nice I love this app sm

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3 years ago

Read 2 more answers

26.4 into fraction what is - 6.4 into a fraction

denis23 [38]

26.4 into fraction
26.4/1 * 100/100

2640/100

slash the zeros

264/10

simplify

132/5

turn it into a mixed fraction and you get

26 2/5

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