Answer:
y = 2x - 4
Step-by-step explanation:
Rearrange the given equation to slope-intercept form.
x + 2y = 2
2y = -x + 2
y = -1/2x + 1
The slope of the given line is -1/2. The slope of a perpendicular line will be the negative inverse, meaning that the slope will be 2.
-1/2 = 2
Find the equation of the new line with the point-slope form using the new slope and given point.
y - y₁ = m(x - x₁)
y - 6 = 2(x - 5)
y - 6 = 2x - 10
y = 2x - 4
The equation will be y = 2x - 4.
To answer this, we let x some factor that would agree or make the ratio given true. We calculate as follows:
<span>2:3:4
2x:3x:4x
2x = 12
x = 6
Therefore, the length of the longest side would be 4x = 4(6) = 24 cm, third option.</span>
Answer: 94.5
Step-by-step explanation:
If average of 9 students is 94, their total will be 94x 9 = 846
If the 10th student scores 99, the new total is 846 + 99 = 945
So, the new average will be
945/10 = 94.5
