First, let's re-arrange to slope-intercept form.
x + 8y = 27
Subtract 'x' to both sides:
8y = -x + 27
Divide 8 to both sides:
y = -1/8x + 3.375
So the slope of this line is -1/8, to find the slope that is perpendicular to this, we multiply it by -1 and flip it. -1/8 * -1 = 1/8, flipping it will give us 8/1 or 8.
So the slope of the perpendicular line will be 8.
Now we can plug this into point-slope form along with the point given.
y - y1 = m(x - x1)
y - 5 = 8(x + 5)
y - 5 = 8x + 40
y = 8x + 45
Given the slope, m = -2/3, and the x-intercept, (3,0):
Use these values and plug into the slope-intercept form to solve for the y-intercept, b:
y = mx + b
0 = -2/3(3) + b
0 = -2 + b
Add 2 to both sides to isolate b:
0 + 2 = -2 + 2 + b
2 = b
Now that we have our slope, m = -2/3, and the y-intercept, 2
The linear equation in slope-intercept form is:
y = -2/3x + 2
Please Mark my answers as the Brainliest, if you find this helpful :)
To solve divide both sides by 4 to cancel out the 4 on the x side to get x alone. Then just do -10/4. That gives you 2.5 so (X=2.5). Hope I helped and have a great day and night
Answer:
=6
Step-by-step explanation:
find the LCM of the two denominators 3 and 6 which is 6
equate in that such that 6÷3*2x=4x
6÷6×x=x
add the two=5x
5x/6=5
multiply by six both sides
5x=30
divide both sides by 5 to get x
x=6
hope it helps
Answer:
10 people
Step-by-step explanation:
Count the x's for more than 1 scarf, which is 2 or 3 scarfs
2 = 9
3 =1
total = 10
