When we reflect a point across y=x, the x and y coordinates switch out , that is (x,y) becomes (y,x) . SO for point (1,2), on reflection across y=x, (1,2) becomes (2,1) . And when we do reflection across y=-x, (x,y) becomes (-y,-x). Therefore point (2,1) on reflection across y=-x becomes(-1,-2) .
So the final answer is (-1,-2) .
Answer: Square root of x+3
Step-by-step explanation:
Insert the denominator to 3
Answer:
87 packages
Step-by-step explanation:
First we need to find the volume of the cone-shaped vase.
The volume of a cone is given by:
V_cone = (1/3) * pi * radius^2 * height
With a radius of 9 cm and a height of 28 cm, we have:
V_cone = (1/3) * pi * 9^2 * 28 = 2375.044 cm3
Each package of sand is a cube with side length of 3 cm, so its volume is:
V_cube = 3^3 = 27 cm3
Now, to know how many packages the artist can use without making the vase overflow, we just need to divide the volume of the cone by the volume of the cube:
V_cone / V_cube = 2375.044 / 27 = 87.9646 packages
So we can use 87 packages (if we use 88 cubes, the vase would overflow)
The formula for quadratic equation is given by:
x² - (sum)x + (product) = 0
so if we have real roots of 3 and 5
<span> x² - (3 + 5)x + (3*5) = 0
</span> x² - 8<span>x + 15 = 0
</span>
so if we have real roots of -3 and -6
<span> x² - (-3 - 6)x + (-2*-6) = 0
</span> x² - (-9<span>x) + 12 = 0
</span> x² + 9<span>x + 12 = 0</span>
A because a colored circle means it’s greater than
