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denis23 [38]
3 years ago
14

Solve the quadratic equation by completing the square. =+x^2+16x +61=0

Mathematics
1 answer:
Vlad1618 [11]3 years ago
3 0
X^2 + 16x + 61 = 0
x^2 + 16x = -61
x^2 + 16x + 64 = -61 + 64
(x + 8)^2 = 3
x + 8 = (+-) sqrt 3
x = -8 (+-) sqrt 3

x = -8 + sqrt 3...and x = -8 - sqrt 3 <== ur solutions

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AlexFokin [52]
The Correct Answer Is
144
4 0
3 years ago
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a s
Korvikt [17]

Answer:

On the graphing calculator, use the function normCdf, where

  • lower bound = -9999
  • upper bound = 210
  • mean = 250
  • standard deviation = 46

It will result in normCdf(-9999,210,250,46) ≈ 0.192269 or 19.2269%

6 0
3 years ago
the measure of the angle is 88 degrees greater than its complement. what is the measure of the complement?
vazorg [7]
Let the angle be x and it's complement be c.

Then, x = c + 88 and x + c = 90

Substitute the first equation in the second.

(c+88) + c = 90
2c+88 = 90
2c = 2
c =1 

Compliment = 1
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6 0
3 years ago
What is the arc length of an angle of 2π 3 radians formed on the unit circle? A) π 3 B) 2π 3 C) 4π 3 D) 5π 3
mars1129 [50]
We know that
in a unit circle the radius is 1
therefore
[Length of a circumference]=2*pi*r------> 2*pi

if 2pi radians in a circle unit has a length of ------------>  2*pi
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X=2pi/3

the answer is 2pi/3

5 0
3 years ago
Read 2 more answers
a tourist drove his car for the total of 17.5 hours while on a 3-day vacation on the first day he drove 4.5 hours in the second
AleksAgata [21]

Answer:

1.75 hours

Step-by-step explanation:

Time for day 1 : 4.5 hrs

Time for day 2: (4.5 ×2.5)

Time for day 3: let it be denoted by a variable ,say T.

Total Time= 17.5

(Time for day 1 ) + (Time for day 2) +(Time for day 3) =17.5

4.5 + (4.5×2.5) + T = 17.5

4.5+11.25+T =17.5

15.75+T=17.5

T=17.5-15.75

T= 1.75

7 0
2 years ago
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