I think the discriminant would be -24
Answer: Its light-collecting area would be 25 times greater than that of the 10-meter keck telescope.
Step-by-step explanation:
1. To solve this problem you must apply the formula for calculate the area of a circle, which is shown below:
Where<em> r</em> is the radius of the circle.
2. The diameter of a circle is:
Where <em>r</em> is the radius of the circle.
3. Therefore, keeping this on mind, you have that the light-collecting area of a 50-meter keck telescope is:
4. And the light-collecting area of a 10-meter keck telescope is:
5. Divide 
by 
, then:
6. Therefore, its light-collecting area would be 25 times greater than that of the 10-meter keck telescope.
It needs to be a number multiplicated by 10 with a round power. With your number, s
you should write it like that : 3.482000000x10^9 (if your zeros are significant, otherwise 3.482x10^9) OR 3.482000000G (for Giga=1×10^9)
Answer:
see explanation
Step-by-step explanation:
Using the property of parallelograms
• The diagonals bisect each other, hence
DH = HF and GH = HE
x + 1 = 3y and 3x - 4 = 5y + 1 ⇒ 3x = 5y + 5
Solving the 2 equations simultaneously
x + 1 = 3y → (1)
3x = 5y + 5 → (2)
rearrange (1) expressing x in terms of y
x = 3y - 1 → (3)
substitute x = 3y - 1 in (2)
3(3y - 1) = 5y + 5
9y - 3 = 5y + 5 ( subtract 5y from both sides )
4y - 3 = 5 ( add 3 to both sides )
4y = 8 ( divide both sides by 4 )
y = 2
substitute y = 2 into (3)
x = (3 × 2) - 1 = 6 - 1 = 5
Hence x = 5, y = 2
Kelly's sister is x years old.
Kelly is 3 years younger than her sister, so Kelly is x - 3 years old.
The sum of their ages is x + x - 3 = 2x - 3.
The sum of their ages is 34, so
2x - 3 = 34
2x = 37
x = 18.5 Kelly's sister's age.
x - 3 = 18.5 - 3 = 15.5 Kelly's age.
Kelly's sister is 18.5 years old.
Kelly is 15.5 years old.
