Answer:
f(x)= x^2 - 2, the one in red.
Step-by-step explanation:
To move a quadratic function up/down, you change the value at the very end of the formula.
So instead of f(x)= x^2 + 1, you would do f(x)= x^2 - 2, to move it down 3. This would be the one in red.
Answer:
D. 3 and 116
Step-by-step explanation:
d.f.N = k - 1 (numerator degrees of freedom) = 4 - 1 = 3
N = 4 × 30 = 120
d.f.D = N - k (denominator degrees of freedom) = 120 - 4 =116
Answer:
The surface area of the paperweight is 
Step-by-step explanation:
we know that
The surface area of the triangular prism is equal to the area of its triangular base plus the area of its three triangular lateral faces
so
<em>Find the area of its triangular base</em>
<em>Find the area of its three triangular lateral faces</em>
![SA=3[\frac{1}{2}(2)(2.2)]](https://tex.z-dn.net/?f=SA%3D3%5B%5Cfrac%7B1%7D%7B2%7D%282%29%282.2%29%5D)
Adds the areas
Answer:
shown below
Step-by-step explanation:
1. The pair of angles shown in your diagram are vertical angles. Vertical angles are each of the pairs of opposite angles made by two intersecting lines. The pairs of vertical angles have the exact same measurement. Therefore, 5x and 100 must have the same degree measurement, or 100 degrees. Thus, 5x must equal 100, so 5x = 100, and x would be 20 degrees.
2. The diagram shows a right angle (90 degrees) formed by 3x degrees and 39 degrees. 3x and 39 are complementary, which means they add up to 90, not 180 (that's supplementary). Thus, 3x + 39 = 90, 3x = 51, and x = 17 degrees.
3. The diagram shows a 180-degree angle formed by 6x degrees and 2x + 8 degrees. This means that 6x + (2x+8) equals 180. 6x + 2x + 8 = 180 and 8x + 8 = 180, 8x = 172, and x = 21.5 degrees.
4. A angle's supplement is basically 180 - (angle measure), because you are finding the angle that when formed with the original angle creates a 180 degree angle. Thus, the supplement angle would be 180 - 47 which is 133 degrees.
5. The angles 115 and (5x-10) create a 180 degree angle, which means that 115 + (5x-10) = 180. Thus, x = 15.
Answer:
2 TO 1
2:1
Step-by-step explanation:
