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SCORPION-xisa [38]
3 years ago
13

What is the value of m, if the equation my2+2y−4=0 has exactly one root?

Mathematics
2 answers:
stich3 [128]3 years ago
6 0

Answer:

m=\frac{-1}{4}

Step-by-step explanation:

A quadratic equation has one root if the discriminant is 0.

That is we need b^2-4ac=0 for this particular question.

Compare the following to find a,b, \text{ and } c:

ax^2+bx+c=0

my^2+2y-4=0

The variable x is representative of the variable y here.

a=m

b=2

c=-4

Plug in into b^2-4ac=0:

(2)^2-4(m)(-4)=0

4+16m=0

Subtract 4 on both sides:

16m=-4

Divide both sides by 16:

m=\frac{-4}{16}

Reduce:

m=\frac{-1}{4}

siniylev [52]3 years ago
6 0

Answer:

m = -1/4

Step-by-step explanation:

B²-4AC = 0 when one real root

(2)² - 4(m)(-4) = 0

4 + 16m = 0

m = -4/16

m = -1/4

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A container is shaped like a cylinder with half spheres on each end. The cylinder has a length of 30 centimeters and a radius is
Crank

The cubic centimeter one container can hold is 2,878.33 cm³.

<h3>What is the  cubic centimeter one container can hold ?</h3>

In order to determine the  cubic centimeter one container can hold, the volume of the container has to be determined.

Volume of the container = volume of the cylinder + (2 x volume of the hemisphere)

Volume of the cylinder = πr²h

Where:

  • π = 3.14
  • r = radius
  • h = height

3.14 x 5² x 30 = 2355 cm³

Volume of a hemisphere = (2/3) x π x r³

2 x (2/3 x 3.14 x 5³) = 523.33 cm³

Volume of the container =  523.33 cm³ + 2355 cm³ = 2,878.33 cm³

To learn more about the volume of a hemisphere, please check: brainly.com/question/26840364

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7 0
2 years ago
John drove 450 miles in 8 hours. he averaged 50 miles per hour on the highway and 60 miles per hour on the turnpike. how many ho
Alexeev081 [22]
Total distance John drove=450 miles
total time=8 hours
let the number of hours he drove on highway be x, number of hours he drove on turnpike will be (8-x) hours
since
distance=speed*time
distance traveled in highway=50x
distance traveled in turnpike=60(8-x)
thus the total distance will be:
50x+60(8-x)=450
simplifying the above
50x+480-60x=450
-10x=450-480
-10x=-30
thus
x=3 hours
Thus he drove on highway for 3 hours.
3 0
3 years ago
Please answer will mark brainliest
aksik [14]
Interesting think. So sorry if you get it wrong
5 0
2 years ago
Read 2 more answers
39*10*100*1,000*0+37???? HELPPP
FromTheMoon [43]

Answer:

37

Step-by-step explanation:

Anything multiplied by 0 is 0 then you just add the 37

5 0
2 years ago
Mr. Nelson lost one of his students' test
amid [387]

Complete question :

Mr. Nelson lost one of his students' test papers. He knows that the other 4 students scored as follows: 60, 62, 56, 57. He also knows that the average score is 59.2. What is the score on the missing paper?

Answer:

61

Step-by-step explanation:

Given the following :

Total number of students = 4 + 1 missing = 5

Score on the four avaliable papers = 60, 62, 56, 57

Average score of the 5 papers = 59.2

Score on missing paper :

Sum of each score / number of papers

Sum of each score = sum of available scores + missing score

Let missing score = m

(60 + 62 + 56 + 57 + m) = 235 + m

Recall:

Average = total sum / number of observations

Hence,

59.2 = (235 + m) / 5

59.2 × 5 = 235 + m

296 = 235 + m

m = 296 - 235

m = 61

Missing score = 61

6 0
3 years ago
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