It would be 1,200 because you just have to multiply 400 times 3 hope it helped :)
Answer:
yes
Step-by-step explanation:
The line intersects each parabola in one point, so is tangent to both.
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For the first parabola, the point of intersection is ...
y^2 = 4(-y-1)
y^2 +4y +4 = 0
(y+2)^2 = 0
y = -2 . . . . . . . . one solution only
x = -(-2)-1 = 1
The point of intersection is (1, -2).
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For the second parabola, the equation is the same, but with x and y interchanged:
x^2 = 4(-x-1)
(x +2)^2 = 0
x = -2, y = 1 . . . . . one point of intersection only
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If the line is not parallel to the axis of symmetry, it is tangent if there is only one point of intersection. Here the line x+y+1=0 is tangent to both y^2=4x and x^2=4y.
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Another way to consider this is to look at the two parabolas as mirror images of each other across the line y=x. The given line is perpendicular to that line of reflection, so if it is tangent to one parabola, it is tangent to both.
Answer:
300 lbs
Step-by-step explanation:
We know that Larry bench pressed 200 lbs last week, and that he is supposed to increase by 15%. We know that any number times one is that same numbers. That means a number that is increaseing has to be greater than 1. So, we have to convert 15% into a decimal. That is 0.15. That plus one is 1.15. Now we just have to multiply 1.15 with 200. We get 300.
The total area of the stable is 20,250 sq. ft.
Let n = total number of box stalls.
Each box stall is a square of length 9 ft.
Total area = 9^2n = 81n ft².
Therefore
81n = 20250
n = 20250/81 = 250
Answer: 250 horses.
Answer:
1. 144⁰
2. 60⁰
Step-by-step explanation:
The formula to find the measure of the interior angles of a regular polygon is:
m< = (n - 2) • 180/n where n = the number of sides
For a decagon, there are 10 sides.
m< = (10-2) • 180/10 = 144°
A regular polygon/equilateral triangle is defined as having equal sides and angles.