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3 years ago

Explain how to solve 5x^2-3x=25 by completing the square. What are the solutions?

Mathematics

2 answers:

hodyreva [135]3 years ago

6 0

Answer:

can you help me

Step-by-step explanation:

Furkat [3]3 years ago

3 0

Answer:

x= 5/2 or simplified: 1 and 1/2 or 1.5 if you want it as a decimal

Step-by-step explanation:

so the expression is 5x squared -3x=25 so first step, you have to get rid of the exponent first, to remove the exponent you have to square root 5x and 25 because 25 is on the other side of the equal sign, once you rid of the square you'll be left with 5x-3x=5 so then you put together like terms which are 5x and -3x so you'd be left with 2x=5 and to find x, you need to get rid of the 2 on the left side so you divide 2x by 2 and 5 by 2. Now you're left with x=5/2 and you simplify if needed.

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In the circle below, DB = 22 cm, and m<DBC = 60°. Find BC. Ignore my handwriting.

Karo-lina-s [1.5K]

Answer:

$BC=11\ cm$

Step-by-step explanation:

step 1

Find the measure of the arc DC

we know that

The inscribed angle measures half of the arc comprising

$m\angle DBC=\frac{1}{2}[arc\ DC]$

substitute the values

$60\°=\frac{1}{2}[arc\ DC]$

$120\°=arc\ DC$

$arc\ DC=120\°$

step 2

Find the measure of arc BC

we know that

$arc\ DC+arc\ BC=180\°$ ----> because the diameter BD divide the circle into two equal parts

$120\°+arc\ BC=180\°$

$arc\ BC=180\°-120\°=60\°$

step 3

Find the measure of angle BDC

we know that

The inscribed angle measures half of the arc comprising

$m\angle BDC=\frac{1}{2}[arc\ BC]$

substitute the values

$m\angle BDC=\frac{1}{2}[60\°]$

$m\angle BDC=30\°$

therefore

The triangle DBC is a right triangle ---> 60°-30°-90°

step 4

Find the measure of BC

we know that

In the right triangle DBC

$sin(\angle BDC)=BC/BD$

$BC=(BD)sin(\angle BDC)$

substitute the values

$BC=(22)sin(30\°)=11\ cm$

6 0

3 years ago

Please help I’ll mark brainliest as long as you tell me how you got that answer, also I apologize if it’s kinda blurry. I hope y

kolezko [41]

Answer:

Step-by-step explanation:

Not another one! ;)

A can be eliminated because the numbers don‘t match. B seems like a possible answer, let’s first check the others out. C and D can be slim instead because the variable, g, should be next to the 1.5 and 2.5. C and D both change the variable location. So, B.

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Step-by-step explanation:

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Angelina_Jolie [31]

240 because 2000x0.04=80 X3= 240