a) The gradient of a line perpendicular to AB is -2.
b) equation of line is y=-2x+6
<h3>What is gradient?</h3>
The gradient is the measure of the steepness of a straight line.
a)The gradient of line is
=(-2-2)/(7+1)
=-4/8
=-1/2
So, gradient of a line perpendicular to AB is -2
b)The coordinates of mid point (3, 0)
m = -2
So,
0= -6+ b
b= 6
So, equation of line is y=-2x+6
Learn more about this concept here:
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Answer:
Read my comments you can use this app for any math question and gives you an answer
Answer:
width is 47 and the length is 90
Step-by-step explanation:
Hello!
You find the perimeter by adding all the sides
l + l + w + w = p
The perimeter is 274
l + l + w + w = 274
It says the length is 4 less than double the width
l = 2w - 4
We can put this into the original equation
2w - 4 + 2w - 4 + w + w = 274
Now we solve
Combine like terms
6w - 8 = 274
Add 8 to both sides
6w = 282
Divide both sides by 6
w = 47
We can put w into the orginal equation to find l
l + l + 47 + 47 = 274
Combine like terms
2l + 94 = 274
Subtract 94 from both sides
2l = 180
Divide both sides by 2
l = 90
The answer is the width is 47 and the length is 90
Hope this helps!
Ok this one is a little bit more tricky since there are more possible answers. But we can do it! So look at the y-intercept. It lands on 25. Now we do "Rise over Run". So we go up 4 and left 1. Since the line is going left, the slope is a negative. And the line is solid instead of dotted so it is , ≤. Your answer would be the first option. I hope this helps love! :)