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2 years ago

ASAP QUICK!!!! YOU WILL GET 5 STARS AND BRANILEST I AM SORRY I AM DOING THIS OVER AND OVER BUT IT IS DUE NOW!!!

Mathematics

1 answer:

hodyreva [135]2 years ago

5 0

Answer:

1.6cm

2.The door should be 1.6cm wide on the drawing.

.Step-by-step explanation:

1.First, note that 1 m =100 cm.

Then

5 m = 500 cm;

3 m = 300 cm.

If Elena wants to make a scale drawing of her bedroom on a scale of 1 to 50, then

500 cm : 50 = 10 cm;

300 cm : 50 = 6 cm.

Therefore, the length of the scale drawing is 10 cm and the width of the scale drawing is 6 cm.

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Using a graphing utility, find the exact solutions of the system. Round to the nearest hundredth and choose a solution to the sy

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Answer:

Part 1) The exact solutions are

$(\frac{-1+\sqrt{21}} {2},4+\sqrt{21})$ and $(\frac{-1-\sqrt{21}} {2},4-\sqrt{21})$

Part 2) (1.79, 8.58)

Step-by-step explanation:

we have

$y=x^{2} +3x$ ----> equation A

$y=2x+5$ ----> equation B

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When solving the system of equations by graphing, the solution of the system is the intersection points both graphs

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$ax^{2} +bx+c=0$

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$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2} +x-5=0$

$a=1\\b=1\\c=-5$

substitute in the formula

$x=\frac{-1\pm\sqrt{1^{2}-4(1)(-5)}} {2(1)}$

$x=\frac{-1\pm\sqrt{21}} {2}$

The solutions are

$x_1=\frac{-1+\sqrt{21}} {2}$

$x_2=\frac{-1-\sqrt{21}} {2}$

Find the values of y

First solution

For $x_1=\frac{-1+\sqrt{21}} {2}$

$y=2(\frac{-1+\sqrt{21}} {2})+5$

$y=-1+\sqrt{21}+5\\\\y=4+\sqrt{21}$

The first solution is the point $(\frac{-1+\sqrt{21}} {2},4+\sqrt{21})$

Second solution

For $x_2=\frac{-1-\sqrt{21}} {2}$

$y=2(\frac{-1-\sqrt{21}} {2})+5$

$y=-1-\sqrt{21}+5\\\\y=4-\sqrt{21}$

The second solution is the point $(\frac{-1-\sqrt{21}} {2},4-\sqrt{21})$

Round to the nearest hundredth

First solution

$(\frac{-1+\sqrt{21}} {2},4+\sqrt{21})$ -----> $(1.79,8.58)$

$(\frac{-1-\sqrt{21}} {2},4-\sqrt{21})$ -----> $(-2.79,-0.58)$

see the attached figure to better understand the problem

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