MATHEMATICS HIGH SCHOOL

X^2+6x=13

What Is The Result After Completing The Square ?

Answers

Answer 1
Answer: x^2 + 6x = 13
x^2 + 6x + 9 = 13 + 9
(x + 3)^2 = 22
x + 3 = (+,-) sq rt 22
x = -3 + (sq rt 22) and x = -3 - (sq rt 22)

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7. Find the value of:a) The number when 40% of the number is 10

6. What is the y-intercept
7. Solve. 4(s – 3) = 2s + 6

Answers

7. Solve. 4(s – 3) = 2s + 6

Answer:

s=9
6)The y-intercept is where the line crosses the y-axis
7)s=9
Explanation:
4(s-3)=2s+6
4s-12=2s+6
4s-2s=6+12
2s=18
S=9

What is the reciprocal of 2/5

Answers

The reciprocal would be 5/2.
5/2 in decimal form 2.5

All of the following fractions are equivalent to 1/2 , except:A.2/4
B.5/10
C.4/7
D.3/6

Answers

C) 4/7 is not equal to 1/2

Answer:

I think that 4/7 is not equivalent to 1/2

Step-by-step explanation:

Solve the equation 3cosx=3

Answers

Cos(X) = 3/3
Cos(X) = 1
X=Cos -1 (1)
X= 0

Find the area of the following circle r=9 yd

Answers

The area of the circle is given by the formula A=pi*r^2 if the radius is 9yd you can simply sub it into the formula. A=pi*9^2 which then becomes A=pi*81 you can then put this into your calculator and you get approximately A=254.469 yds if you are not allowed a calculator use pi as 3.14 A=3.14*81 which gives you 254.34yds (close enough). Hope this helps

Answer:

254.34

Step-by-step explanation:

Two airplanes left the same airport and arrived at the same destination at the same time. The first airplane left at 8:00 a.m. and traveled at an average rate of 496 mph. The second airplane left at 8:30 a.m. and traveled at an average rate of 558 mph. How many hours did it take the first plane to travel to the destination?Let x represent the number of hours that the first plane traveled.
Enter an equation that can be used to solve this problem in the first box.
Solve for x and enter the number of hours in the second box.

Answers

First plane: 496x
Second plane:  558( x - 1/2) 

Equation: 496x = 558( x - 1/2) 

Solving  x = 9/2 ,  or  x = 4.5 hours.

Hope this helps.
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