You can use the midpoint formula, knowing the midpoint between two points (x1,y1) and (x2,y2) has the coordinates [(x1 + x2)/2, (y1 + y2)/2] Substituting what we are given, we get: (2 + x2)/2 = 5 and (5 + y2)/2 = 1 so, 2...
You can use the midpoint formula, knowing the midpoint between two points (x1,y1) and (x2,y2) has the coordinates [(x1 + x2)/2, (y1 + y2)/2] Substituting what we are given, we get: (2 + x2)/2 = 5 and (5 + y2)/2 = 1 so, 2...
First, see that 80 liters of a 20% kool aid solution has 16 liters of kool aid, since 80x20% = 16 Now, we're going to add an amount of 59% kool aid to produce a total concentration of 30% kool aid. So you can set it up as a proportion. Let x = number of liters...
To solve this equation, manipulate the numbers so that the base numbers are the same. Since 4 = 2^2 we can rewrite this as: 2^3x = (2^2)^(x+2) Expanding the exponent gives: 2^3x = 2^(2x+4) Now that both bases are the same, we see that 3x = 2x+4 Solving...
To solve this equation for x, we should simplify and then combine like terms. Notice that the second term, 8x/x, simplifies to 8 since x/x = 1, so we can rewrite the equation as: 4-8+1 = 8/x+1 Combining the constant terms gives: -3 = 8/x +1 To get the x...
Notice that you can factor a 2 from the numerator to get [2(x^2 + 2x +1)]/(x^2 + 3x +2) Next, we factor both numerator and denominator to get [2(x+1)(x+1)]/(x+1)(x+2) Cancelling (x+1) from both numerator and denominator gives [2(x+1)]/...
We have: A = [2 -3 -2 5] 2B = [8 6x 0 -2] So A + 2B = [2+8 -3+6x -2+0 5-2] or [10 -3+6x -2 ...
Since you are give three zeros, we know we have a 3rd degree polynomial. Recall that we factor a polynomial in the form of: (x-a)(x-b)(x-3) = 0 where a, b, and c are the zeros of the function. Thus, your function factors as: (x+5)(x+1)(x-2) = 0 Doing this...
x = 8 To solve, first distribute the left side of the equation to get: 4x - 4 = 28 Next, add 4 to both sides of the equation: 4x - 4 + 4 = 28 + 4 4x = 32 Finally, divide both sides by 4: 4x/4 = 32/4 x = 8