Answer:
D
Step-by-step explanation:
The quadratic formula:
![\frac{-b\pm \sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
where a is the coefficient of
, b being the coefficient of
and c being the constant.
Plug in the values:
![\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:2\cdot \:5}}{2\cdot \:2}](https://tex.z-dn.net/?f=%5Cfrac%7B-%5Cleft%28-5%5Cright%29%5Cpm%20%5Csqrt%7B%5Cleft%28-5%5Cright%29%5E2-4%5Ccdot%20%5C%3A2%5Ccdot%20%5C%3A5%7D%7D%7B2%5Ccdot%20%5C%3A2%7D)
![\frac{5\pm\sqrt{-15} }{4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%5Cpm%5Csqrt%7B-15%7D%20%7D%7B4%7D)
Since ![\sqrt{-15} =\sqrt{-1} \sqrt{15} =i \sqrt{15}](https://tex.z-dn.net/?f=%5Csqrt%7B-15%7D%20%3D%5Csqrt%7B-1%7D%20%5Csqrt%7B15%7D%20%3Di%20%5Csqrt%7B15%7D)
The answer is:
![\frac{5\pm i \sqrt{15} }{4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%5Cpm%20i%20%5Csqrt%7B15%7D%20%7D%7B4%7D)
We Know that in geometry the Cos/Sin = Cotangent. And the abbreviation for this is cotø
The post is on the first quadrant at the coordinates (3, 2).
Step-by-step explanation:
Step 1; First we need to determine which quadrant the point (-3, 2) is on. The coordinate has a negative value of x which denotes it could be located on either the second or third quadrant. The y coordinate has a positive value so out of the second and third quadrant, it is located in the second quadrant.
Step 2; The fence post is reflected over the y-axis which means the coordinate values remain the same but the symbols are in accordance with the first quadrant. In the first quadrant, both x coordinates and the y coordinates are positive. So the co-ordinate for the reflected fence post is (3, 2).
Answer:
Step-by-step explanation:
Graph the parent function f(x) = |x|. The vertex of the graph will be at (0, 0), and this v-shaped graph will open UP.
Now: to obtain the graph of 2|x - 3|, translate the graph of f(x) = |x| 3 units to the right, and expand the v-shape vertically by a factor of 2.
Finally, translate the entire graph up by 2 units.
Answer:
6
Step-by-step explanation:
BODMAS is the rule used.
Brackets
Of(multiplication)
Division
Multiplication
Addition
Subtraction
First simplify inside the brackets
![(7 - 4)(15 \div 5) - 3 \\ = 3 \times 3 - 3](https://tex.z-dn.net/?f=%287%20-%204%29%2815%20%5Cdiv%205%29%20-%203%20%5C%5C%20%20%3D%203%20%5Ctimes%203%20-%203)
Then the multiplication should be done
![9 - 3 \\ = 6](https://tex.z-dn.net/?f=9%20-%203%20%5C%5C%20%20%3D%206)