Step-by-step explanation:
add 8,15,11,10,11,6,7 then the answer you get divide by 7
Answer:
tanC = 3/4
Step-by-step explanation:
by Pythagoras theorem first find the line DE =
+
=
-> DE=27
then we know that tanθ=opposite/adjacent
so, 27/36 =tanC
simplified: tanC = 3/4
Didn't you mean y = ax^2? "^" denotes "exponentiation."
The first derivative of y = ax^2 represents the slope of the tangent line to the curve of y = ax^2. Here, dy/dx = 2ax. When x = 2, dy/dx = 2a(2) = 4a.
The point of tangency is (2,y), where y = a(2)^2, or y=4a; thus, the point of tangency is (2,4a). The equation of the tangent line to y=ax^2 at (2,4a) is found by (1) differentiating y=ax^2 with respect to x, (2) letting x = 2 in the result: dy/dx = 2ax => dy/dx (at 2,4a) = 2a(2) = 4a
The line 2x + y = b is supposed to be tangent to y = ax^2 at (2,4a).
The slope of 2x + y = b is found by solving 2x + y = b for y:
y = b - 2x => slope m = -2
Thus, dy/dx = 4a = - 2, and thus a = -2/4, or a = -1/2. All we have to do now is to find the value of b. We know that 2x + y = b, so if x=-2 and y=-8,
2(-2) + [-8] = b = -4 - 8 = -12
Thus, the equation of the parabola is y = ax^2 = (-1/2)x^2.
a = -2 and b = -8 are the required a and b values.
Answer:
= 150 square units
Step-by-step explanation:
Area of a right triangle is given by the formula;
1/2 bh ; where b is base and h is the height of the triangle
using Pythagoras theorem, we can find the height;
h² = 20² - 16²
h = √144
= 12 units
The base of the small triangle can also be found using Pythagoras theorem;
b² = 15² - 12²
b = √ 81
= 9
Therefore;
Area = 1/2 bh
= 1/2 × 12 × (16+9)
= 1/2 × 12 × 25
= 6 × 25
= 150 square units or 150 u²
