The straight angles are angles that form a straight line, and their measure = 180°
In the given figure, the Straight angles is :
Answer:
x=-2 is the removable discontinuity of the function.
Step-by-step explanation:
Given that
We have to find the discontinuity of the function.
We find the numerator has got a factor as denominator because
x+2 can be cancelled and the function would be
x-6 if x not equals -2
Thus the function is discontinuous at x=-2
The discontinuity is removable if f(-2) is defined as =-8
Thus x=-2 is a removable discontinuity of the function.
Part A)
Using the Pythagorean theorem you can find the height:
17^2 = 8^2 + x^2
289 = 64 +x^2
x^2 = 289 - 64
x^2 = 225
x = √225
x = 15
The height is 15 cm.
Part B)
Area of the triangular side: 1/2 x 16 x 15 = 120 square cm.
There are two triangles so 120 x 2 = 240 square cm.
One side = 20 x 17 = 340
There are 2 sides so 340 x 2 = 680 square cm.
The bottom is 16 x 20 = 320 square cm.
Total cardboard needed: 240 + 680 + 320 = 1,240 square cm.
Answer:
(f - g)(-4) = 17
Step-by-step explanation:
To get (f - g)(x), you need to subtract f(x) with g(x).
f(x) = 2x² + 2
g(x) = -3x + 5
(f - g)(x) = (2x² + 2) - (-3x + 5)
(f - g)(x) = 2x² + 2 + 3x - 5
(f - g)(x) = 2x² + 3x - 3
Now, plug in -4 to find (f - g)(-4).
(f - g)(x) = 2x² + 3x - 3
(f - g)(-4) = 2(-4)² + 3(-4) - 3
(f - g)(-4) = 2(16) + 3(-4) - 3
(f - g)(4) = 32 - 12 - 3
(f - g)(-4) = 17