The answer to your question is -304
Answer:
If it's Jose, Brad, and Ed it's an acute triangle, it has no 90 degree angle, if it's Jose, James, and Malcolm it is a right triangle because the line to Jose and Malcolm is straight I think not sure how to explain
Step-by-step explanation:
Answer:
- (x -1)(x +6)
- (x -5)(x +3)
- (x -4)(x -3)
Step-by-step explanation:
In each case, you're looking for divisors of the constant that have a sum equal to the x-coefficient. Those divisors are the constants in the binomial factors.
1) -6 = -1·6 = -2·3 . . . . . (-1)+(6) = 5, so these are the constants of interest.
x^2 +5x -6 = (x -1)(x +6)
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2) -15 = -1·15 = -3·5 = -5·3 . . . . . (-5)+(3) = -2, so these are the constants of interest
x^2 -2x -15 = (x -5)(x +3)
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3) 12 = -1·-12 = -2·-6 = -3·-4 . . . . . (-3) +(-4) = -7, so these are the constants of interest
x^2 -7x +12 = (x -3)(x -4)
The area of triangle formula is A = B*H / 2
so it means 16 square = (<span>x+4) x /2
so x²+4x -32=0, D' = 2²- (-32)= 36, sqrt of D' = 6
so x = -2 -6 = -8 or x= -2 +6 = 4
x must be positive so x = 4</span>
Answer: price of soda (a) = $2 and price of popcorn (b) = $0.5
Step-by-step explanation:
Let's denote soda = a and popcorn = b
Kaylin bought a soda and two popcorn, writing out an equation for this would be
a + 2b = $3...........equation (i)
And her brother bought 3 sodas and 1 popcorn.
3a + b = $6.50..........equation (ii)
From equation (i),
a + 2b = 3
Making a the subject of formula,
a = 3 - 2b......equation (iii)
Using substitution reaction, put equation (iii) into equation (ii)
3(3 - 2b) + b = $6.50
9 - 6b + b = 6.50
9 - 5b = 6.50
Collecting like terms,
5b = 9 - 6.50
Divide both sides by 5,
b = 5.
Put b = 5 into equation (i)
a + 2(0.5) = 3
a + 1 = 3
a = 2
Therefore, the price of soda is $2 per one and $0.5 for each popcorn.
