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Hey there!
First, let's look at what perpendicular means. Imagine a cross, where there's all 90 degree angles. That's exactly what we're talking about when we say perpendicular. The given equation is in slope-intercept form, where we have:
y = mx + b
where m is the slope and b is the y-intercept.
When we're writing an equation with a perpendicular slope, we use the negative reciprocal of the given slope. Thus, we can make 0.3 1/3, and take the reciprocal to make 3, and make it negative 3 as it's the negative reciprocal. Now, we know we have a line with the slope of -3 and goes through (-3, 8). We can use the x and y values in this set of points, along with the slope, to create an equation to solve for b. That gives us:
8 = -3(-3) + b
8 = -9 + b
17 = b
Now, since we have slope and y-intercept, we can write our equation as:
y = -3x + 17
Hope this helps!
Ahmad could run 7.5 miles in 57 minutes.
Answer:
m<C = 113°
Step-by-step explanation:
m<A = 67° (given)
Recall: opposite angles in any inscribed quadrilateral in a circle are equal to 180° or are supplements of one another.
This implies that:
m<A + m<C = 180°
Substitute
67° + m<C = 180°
Subtract 67° from each side
m<C = 180° - 67°
m<C = 113°
First u have to draw a dollar sign ($). Then the amount of dollars (ex. ..23..) then the amount of coins , (ex: .45). Here's the full example, $23.45. :-)