Answer:
y = 2 -√(x+1)
Step-by-step explanation:
The square root function is reflected across the x-axis and shifted 1 unit to the left and 2 units up.
y = -√x . . . . . reflects the function across the x-axis
y = -√(x+1) . . . shifts the reflected function 1 unit to the left
y = 2 -√(x +1) . . . shifts the above function 2 units up
The graph is of the equation y = 2 -√(x+1).
ANSWER:
We know that the sum of angles of same sides in parallel lines are supplementary(180°).
So, ∠6 + 24° = 180°
- ∠6 = 180° - 24°
- ∠6 = 156°.
Explanation:
It helps to understand the process of multiplying the binomials. Consider the simple case ...
(x +a)(x +b)
The product is ...
(x +a)(x +b) = x² +(a+b)x + ab
If the <em>constant</em> term (ab) is <em>negative</em>, the signs of (a) and (b) are <em>different</em>.
If the constant term (ab) is <em>positive</em>, the signs of (a) and (b) will both match the sign of the coefficient of the linear term (a+b).
___
Of course, the sum (a+b) will have the sign of the (a) or (b) value with the largest magnitude, so when the signs of (a) and (b) are different, the factor with the largest magnitude will have the sign of (a+b), the x-coefficient.
<u>Example</u>:
x² -x -6
-6 tells you the factors will have different signs. -x tells you the one with the largest magnitude will be negative.
-6 = -6×1 = -3×2 = ... (other factor pairs have a negative factor with a smaller magnitude)
The sums of these factor pairs are -5 and -1. We want the factor pair that has a sum of -1, the coefficient of x in the trinomial.
x² -x -6 = (x -3)(x +2)
Answer:
Step-by-step explanation:
Perimeter of Square = 40 cm
4*side = 40
side = 40/4
side = 10 cm
Area of shaded region= Area of square - [Area of triangle 1 + Area of triangle 2]
![=[side*side]-[\frac{1}{2}*b*h+\frac{1}{2}*b*h]\\\\=[10*10]-[\frac{1}2}*3*10+\frac{1}{2}*10*6]\\\\=100-[3*5+5*6]\\\\=100-[15+30]\\\\=100-45\\\\=55cm^{2}\\](https://tex.z-dn.net/?f=%3D%5Bside%2Aside%5D-%5B%5Cfrac%7B1%7D%7B2%7D%2Ab%2Ah%2B%5Cfrac%7B1%7D%7B2%7D%2Ab%2Ah%5D%5C%5C%5C%5C%3D%5B10%2A10%5D-%5B%5Cfrac%7B1%7D2%7D%2A3%2A10%2B%5Cfrac%7B1%7D%7B2%7D%2A10%2A6%5D%5C%5C%5C%5C%3D100-%5B3%2A5%2B5%2A6%5D%5C%5C%5C%5C%3D100-%5B15%2B30%5D%5C%5C%5C%5C%3D100-45%5C%5C%5C%5C%3D55cm%5E%7B2%7D%5C%5C)
Percentage = (55/100)*100=55%
Answer:
m=20
Step-by-step explanation:
