2. it can't have three because one of them is a right triangle do D doesn't add up. It can't have 0 because an obtuse angle plus a right angle would go over 180 degrees. So, the most it can have is 2 acute for example 90(right angle) 30(acute) and 60 (acute) is a possible answer. Also, a right angle can only have two acute angles since an obtuse angle would put it over 180 which was already stated
Answer:
(x²-10x+33)/(-8) = y
Step-by-step explanation:
The distance between any point on a parabola from both its focus and directrix are the same.
Let's say we have a point (x,y) on the parabola. We can then say that using the distance formula,
is the distance between (x,y) and the focus. Similarly, the distance between (x,y) and the directrix is |y-1| (I use absolute value here because distance is always positive). We can find this equation by taking the shortest distance from the point to the line. Because the closest point to the line will be the same x value as the point itself, the distance is simply the distance between the y value of the point and the y value of the directrix.
Equating the two equations given, we have
square both sides to get
(x-5)²+(y+3)²=(y-1)²
expand the y components
(x-5)² + y²+6y+9 = y²-2y+1
subtract y²+6y+9 from both sides
(x-5)² = -8y - 8
expand the x components
x²-10x+25 = -8y - 8
add 8 to both sides to isolate the -8y
x²-10x+33 = -8y
divide both sides by -8 to isolate y
(x²-10x+33)/(-8) = y
Answer:
-9w+12wx+3wy
Step-by-step explanation:
just distribute 3w through the parentheses
100 = 40 + 3x
Subtract 40 from each side
60 = 3x
Divide each side by 3
20 = x
The highest price of a sweatshirt can be $20
100 = 40 + 3(20)
Answer:
1/5 or 0.2
Step-by-step explanation:
-5(p+3/5)=-4
Let's convert 3/5 to decimal form:
-5(p+0.6)=-4
Expand parentheses:
-5p-3=-4
Add -3 to both sides:
-5p=-1
Divide both sides by -5:
p=1/5 or 0.2
Hope this helps!
