Answer:
x = 3/2
Step-by-step explanation:
2(x + 5) = 6x + 4
Open bracket first
2 × x + 2×5 = 6x + 4
2x + 10 = 6x + 4
Rewrite equation
6x + 4 = 2x + 10
Subtract 2x from both sides
6x - 2x + 4 = 2x - 2x + 10
4x + 4 = 10
Subtract 4 from both sides
4x + 4 - 4 = 10 - 4
4x = 6
Divide both sides by 4
4x/4 = 6/4
x = 6/4
Divide both denominator and numerator by 2
x = (6/4) ÷ 2
x = 3/2
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Answer:
50
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
look at the sides
1. If the line that we are searching for is perpendicular to the line y = -4x, this means that the gradient of our line and the gradient of the perpendicular line will multiply to give -1. Thus if we call the gradient of our line m, then:
m*(-4) = -1
-4m = -1
m = 1/4
2. Since we know that m = 1/4 and we have a point (2,6) on our line, we can use the formula y - y1 = m(x - x1) to find the equation of our line, where (x1, y1) is the coordinates of a point on the line. Thus:
y - y1 = m(x - x1)
y - 6 = (1/4)(x - 2)
y - 6 = (1/4)x - 2/4 (Expand (1/4)(x - 2))
y = (1/4)x - 1/2 + 6 (Simplify 2/4 and add 6 to each side)
y = (1/4)x + 11/2 (Evaluate -1/2 + 6)
Slope-intercept form is given by y = mx + c. As our equation is already in this form, there is nothing more to do. Thus, the answer is y = (1/4)x + 11/2
