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3 years ago

525x =300x +45x What is the answer to this problem.

Mathematics

1 answer:

Gemiola [76]3 years ago

7 0

Answer:

x=0

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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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

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Need some help with these 2 math questions, They are related so best to finish one then work on the bisect. Thank you.

ElenaW [278]

Answer:

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2 years ago

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(HELP! PLEASE!!! 50 POINTS!! JUST TWO QUESTIONS) 1. Using the numbers 5, 8, and 24, create a problem using no more than four ope

andreev551 [17]

Answer:Davinki

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4 0

3 years ago

How would you change 2x^2=8x-3 into an equation you could solve using the quadratic formula

tatyana61 [14]

0=2x^2=8x+3
hope this helps

4 0

3 years ago

Two boys decided to buy a computer. The second boy had 5 6 of the money the first had. The first boy had 7 8 of the price of the

sdas [7]

Answer: The price for the computer = $1152

Step-by-step explanation:

Let the first boy = F

Let the second boy = S

Let the price of computer = C

The second boy had 5/ 6 of the money the first had. I.e

S = 5/6 F

Then F = 6/5S ......(1)

The first boy had 7 /8 of the price of the computer. That is

F = 7/8C ....... (2)

Substitute F in (1) into (2)

6/5S = 7/8C

S = 5/6 × 7/8C

S = 35/48C ......(3)

Together they had $696.00 more than they need to pay. That is

F + S = C + 696 ........ (4)

Substitute equation 2 and 3 into 4

7/8C + 35/48C = C + 696

0.875C + 0.729C = C + 696

0.604C = 696

C = 696/0.604

C = 1152 dollars

Therefore, the price for the computer = $1152

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3 years ago

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