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Perpendicular to y = -2x - 3 ; passes through (2, -2)
Using our given information, let's find the slope.We know that in slope-intercept form, m=slope. So, look at our given equation and see what number is in the "m" spot from y=mx+b.
According to our equation, -2 is our slope! However, because we're looking for an equation that's perpendicular to our given one, we need to use the negative reciprocal of -2.
Keep in mind that a negative reciprocal is a number turned upside down and then given or taken away a negative. Ex : -4 turns into 1/4.
So the reciprocal of -2 is 1/2. Now that we have our new slope ( 1/2 ), we must use this equation to find our new equation. y-y₁=m(x-x₁)
Using the new slope (1/2) & the points (2, -2), we can find our new equation.
y - (-2) = 1/2(x - (2)
Simplify.
y + 2 = 1/2x - 2/2
Simplify.
y + 2 = 1/2x - 1
~Hope I helped!~
Answer:
The speed of the faster cyclist is 15 miles per hour
Step-by-step explanation:
Let the speed of the slower cyclist be x miles per hour
The speed of the faster is 3 times this
Mathematically, we have this as 3 * x miles per hour = 3x miles per hour
Now;
distance = speed * time
In 4 hours, the distance covered by the slower will be;
x * 4 = 4x miles
The faster;
3x * 4 = 12x miles
Since they are riding opposite each other, they would have covered a total distance of 80 miles when they meet
Thus, we have that;
12x + 4x = 80
16x = 80
x = 80/16
x = 5
The speed of the faster is;
3x miles per hour
Substitute the value of x here
That will be;
3 * 5 = 15 miles per hour
A.-2 opposite
To positive 2
If we put the numbers in order, it would be 12, 12.50, 13, 18.50, 20, 20 we can see the middle numbers would be 13 and 18.50. if only one number is wanted as the median, then we can do (13+18.50) divided by 2 and get 15.75.
Answer:
1 / 2
Step-by-step explanation:
The average rate of change is the same as the slope.
Slope formula: (y₂ - y₁) / (x₂ - x₁)
= (5 - 3) / (2 - (-2))
= 2 / 4
= 1 / 2
