Answer:
x = -2 ±sqrt( 10)
Step-by-step explanation:
x^2 + 4x = 6
Take the coefficient of x
4
Divide by 2
4/2 =2
Square it
2^2 =4
Add this to each side
x^2 + 4x+4 = 6+4
Take the 4/2 term which is the factor inside the (x+ )^2
(x+2)^2 = 10
Take the square root of each side
sqrt((x+2)^2) =±sqrt( 10)
x+2 = ±sqrt( 10)
Subtract 2 from each side
x+2-2 = -2±sqrt( 10)
x = -2 ±sqrt( 10)
.625 to find the decimal of a percentage divide by 100
Answer:
p = -4, q = -3
Step-by-step explanation:
y = -2x +4 ... (1) perpendicular bisector of AB, slope = -2
slope of AB = 1/2
Line AB pass (8,3): (y-3) / (x-8) = 1/2
AB equation: y-3 = 1/2(x-8) y = 1/2x - 1 ... (2)
(2)-(1): 5/2 x = 5 x = 2
y = 0 (2,0) intercept of bisector and AB, it is midpoint of A (8,3) and (p,q)
(8+p)/2 = 2
<u>p = -4</u>
(3+q)/2 = 0
<u>q = -3</u>
Correct answers are:
1) 1/3 (NOT 3/10). .3 repeating is not 3/10, 3/10 is .3.
2) 1/8. To solve, .125 has three places, so use 1000. 1000/125 is 8, that is your denominator. 125/125 is 1 is your numerator.
3) 1/6 (divide 100/16, which is 6 ¼ - round to 6. If you carry this out to 1,000,000/166,667, it is very close to 6.
4) 1/10
5) 2/3 (NOT 3/5)
6) 1/5 (2/10 reduced to 1/5)
7) 3/4 (75/100 reduced)
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Answer:
10
Step-by-step explanation:
15 = 1/2 * b * 3
15 * 2 = 3 * b
b = 30/3
b = 10 m
