Let x be the smallest number.
x+(x+1)+(x+2)=384
3x+3=384
3x=381
x=127
The three consecutive numbers are 127, 128 and 129.
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Answer: Let x = the length of a side of the square
a2 + b2 = c2
x2 + x2 = 102
2x2 = 100
x2 = 50
x = √50
x = 5√2 cm
Step-by-step explanation:
A. x=3/2
D. x=1/2
Solve for x over the real numbers:
4 x^2 - 8 x + 3 = 0
The left hand side factors into a product with two terms:
(2 x - 3) (2 x - 1) = 0
Split into two equations:
2 x - 3 = 0 or 2 x - 1 = 0
Add 3 to both sides:
2 x = 3 or 2 x - 1 = 0
Divide both sides by 2:
x = 3/2 or 2 x - 1 = 0
Add 1 to both sides:
x = 3/2 or 2 x = 1
Divide both sides by 2:
Answer: x = 3/2 or x = 1/2
If you choose one person from the group, you have a 12/20 chance of them being a girl. Now, if the first person is a girl, we have one less girl and one less person to choose from. So, the new probability for the second person is 11/19.
Then, we multiply the chances
12/20 * 11/19
3/5 * 11/19
33/95
<u>Given </u><u>:</u><u>-</u>
- A line having a slope of 3/2 passes through (2,1) .
<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>
- The equation of the line .
<u>Answer </u><u>:</u><u>-</u>
According to the question ,
We know <u>Point</u><u> slope</u><u> form</u><u> </u> of the line as ,
Substitute ,
- y - 1 = 3/2 ( x - 2 )
- y - 1 = 3/2x - 3/2*2
- y - 1 = 3/2x - 3
- 2( y -1) = 3/2x *2 - 3*2
- 2y - 2 = 3x - 6
- 3x - 2y -4 = 0
<u>Hence</u><u> the</u><u> </u><u>equation</u><u> of</u><u> the</u><u> line</u><u> is</u><u> </u><u>3</u><u>x</u><u> </u><u>-2y</u><u>-</u><u>4</u><u>=</u><u>0</u><u> </u><u>.</u>