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!
Answer:
5x² - 2x - 9 = 0.
Is a example
Step-by-step explanation:
Answer: $5
Step-by-step explanation:
For every $3 raised by basketball players, football players would raise $2.50.
If basketball players raised $6 therefore, we can use direct proportion to find out what football players raised:
3 : 2.50
6 : x
Cross multiply:
3x = 15
x = 15 / 3
x = 5
Football players raised $5.
Answer:
Step-by-step explanation:
Area of triangle: x^(2)
Area of rectangle: 3x^(2) - 5x + 2
The inequality: x^(2) < 3x^(2) - 5x + 2
Solutions: x < 1/2 or x > 2
Values of x (if x > 2): 3,4,5,6
Values of x (if x < 1/2): 1/3, 1/4, 1/5, 1/6
Answer:
I don’t know which answer choice it is since C and D are the same but the answer is supposed to be x < -15.
Step-by-step explanation:
the image has the work shown