A graph of the equation shows the appropriate choice to be
C. 2_____
If you would rather, you can look at the value of the discriminant. For the equation y = ax²+bx+c, the discriminant (d) is
d = b²-4ac
For your equation, this evaluates to
d = (-8)²-4(2)(5) = 64 -40 =
24When the discriminant is
positive, the function has
two real roots (2 x-intercepts). When it is zero, there is only one x-intercept, and when it is negative, there are none (the roots are complex).
Since this point is located in the fourth quadrant you have to rotate it 270 degrees counterclockwise which would end up being in third quadrant. which means the new point would be (-6,-9)
Answer:
13 square units
Step-by-step explanation:
The bounding rectangle is 4 units wide and 5 units high, so has an area of 4×5 = 20 square units. From that are subtracted the areas of 4 triangles. 2 of them are 3 wide and 1 high, so have a combined area of 3×1 = 3 square units. The other two are 1 wide and 4 high, so have a combined area of 1×4 = 4 square units.
Then the area of the parallelogram is ...
20 -3 -4 = 13 . . . . square units
Answer:
The answer is x = 4
Step-by-step explanation:
1. First you need to distribute the 3/4 * (x + 8). This looks like (3/4) * (x) + (3/4) * (8) = 9
2. Next you simplify the distributed equation, 3/4x + 6 = 9
3. Now subtract 6 from both sides, 3/4x = 3
4. Multiply both sides by 4/3, 4/x * 3/4x = 3 * 4/3
5. Simplify, x = 4
Answer:
x= 98
y= 38
Step-by-step explanation:
First add 36 and 46. Then subtract the sum (82°) from 180° to get the value of x (98°). Use reflection to realize that x and the angle across from it are the same value. Add 98 to 44. Then subtract the sum (142°) from 180° to get y (38°).