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4 years ago

How do you delete your own questions on here?

Mathematics

2 answers:

Schach [20]4 years ago

6 0

Answer:you cannot

Step-by-step explanation:

miskamm [114]4 years ago

6 0

You can not, sadly.

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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.

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4 years ago

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Identify the coefficient(s), constants, and number of terms for the following expression:

shusha [124]

The given expression is: $4 x^{2} -5$

So, there are two terms in the expression
1) $4 x^{2}$
2) -5

The constant term is -5.
The co-efficient of $4 x^{2}$ is 4.

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4 years ago

An experiment consists of drawing 1 card from a standard 52-card deck. What is the probability of drawing a jack?

Andrei [34K]

The probability of drawing a jack from a standard 52 card deck is 7.69%
To get that you divide the number of jacks in a standard (4) by the total number of cards (52). Hope this helps! ✌️

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3 years ago

Turn -2x+4y=0 into slope-intercept form

yanalaym [24]

Y=1/2x +0. You add the 2x to the other side, and then divide everything by 4 to have only 1y.

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3 years ago

A segment with endpoints (3,7) and (-8,7) is rotated around the origin. how long will the new segment be ?

amid [387]

11 units long. When something is rotated it does not change its shape/length, only when it is dilated.

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3 years ago

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