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3 years ago

6

Is it y=x ?? Pls help

1 answer:

DerKrebs [107]3 years ago

3 0

It's the first one. y can equal x as long as y doesn't equal x multiple times. We also know the last two are wrong because they're saying the same thing. A linear function is a straight line.

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In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= 2 cm.

konstantin123 [22]

Consider right triangle ΔABC with legs AC and BC and hypotenuse AB. Draw the altitude CD.

1. Theorem: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

According to this theorem,

$BC^2=BD\cdot AB.$

Let BC=x cm, then AD=BC=x cm and BD=AB-AD=3-x cm. Then

$x^2=(3-x)\cdot 3,\\ \\x^2=9-3x,\\ \\x^2+3x-9=0,\\ \\D=3^2-4\cdot (-9)=9+36=45,\\ \\\sqrt{D}=\sqrt{45}=3\sqrt{5},\\ \\x_1=\dfrac{-3-3\sqrt{5} }{2}0.$

Take positive value x. You get

$AD=BC=\dfrac{-3+3\sqrt{5} }{2}\ cm.$

2. According to the previous theorem,

$AC^2=AD\cdot AB.$

Then

$AC^2=\dfrac{-3+3\sqrt{5} }{2}\cdot 3=\dfrac{-9+9\sqrt{5} }{2},\\ \\AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.$

Answer: $AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.$

This solution doesn't need CD=2 cm. Note that if AB=3cm and CD=2cm, then

$CD^2=AD\cdot DB,\\ \\2^2=AD\cdot (3-AD),\\ \\AD^2-3AD+4=0,\\ \\D$

This means that you cannot find solutions of this equation. Then CD≠2 cm.

8 0

3 years ago

Read 2 more answers

Which graph represents the given equation? <br><br> Y = 3/2x^2 + 4x - 2

lana [24]

Answer:

The graph is B

8 0

3 years ago

I need help with number 4!! Please! I didn’t learn this and it is due soon! Thank you

earnstyle [38]

Answer:

$20.63 if you tip on the pre-tax amount

Step-by-step explanation:

You pay $12.99 for the pizza, plus the 8% tax on the pizza, plus the 20% tip of the cost of the pizza, so if you tip on the pre-tax amount, you pay

$12.99(0.08) = $1.04 in sales tax

$12.99(0.2) = $2.60 for the tip

and $4 delivery charge,

so you pay a total of

$12.99 + $1.04 + $2.60 + $4 = $20.63

8 0

3 years ago

1/10 is one part of the whole(number)divided into.......equals part.

Tom [10]

10 equal parts. that is the answer

5 0

3 years ago

Find the errors and correct the following mathematical sentences.

zhuklara [117]

Answer:

The correct answers are:

xii) (x+7)(x+7)

=x^2 +7x +7x +49

=x^2 +14x +49

xiv) (x+4)(x+2)

=x^2 +2x +4x +8

=x^2 +6x +8

xvi) 5x^3 ÷ 5x^3

=1

6 0

3 years ago

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