Step-by-step explanation:
1. Both pairs of opposite sides are congruent <u>Distance Formula</u>
2. Both pairs of opposite sides are parallel <u>Slope Formula</u>
3.Diagonals are congruent <u>Distance Formula</u>
4. Diagonals bisect each other <u>Midpoint Formula</u>
5.Diagonals are perpendicular <u>Slope Formula</u>
6.Sides of polygon create a right angle <u>Slope Formula</u>
7.A triangle is isosceles / equilateral <u>Distance Formula</u>
Point Form:
(1,3) (5,-9)
Equation Form:
x=1 y=3
x=5 y=-9
solve for the first variable in one of the equations, then substitute the result into the other equation.
Answer:
Choice B is correct
Step-by-step explanation:
Step-by-step explanation:
f(x) = x² + x + 3/4
in general, such a quadratic function is defined as
f(x) = a×x² + b×x + c
the solution for finding the values of x where a quadratic function value is 0 (there are as many solutions as the highest exponent of x, so 2 here in our case)
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 1
c = 3/4
x = (-1 ± sqrt(1² - 4×1×3/4))/(2×1) =
= (-1 ± sqrt(1 - 3))/2 = (-1 ± sqrt(-2))/2 =
= (-1 ± sqrt(2)i)/2
x1 = (-1 + sqrt(2)i) / 2
x2 = (-1 - sqrt(2)i) / 2
remember, i = sqrt(-1)
f(x) has no 0 results for x = real numbers.
for the solution we need to use imaginary numbers.
Answer:
Option A is correct.
Step-by-step explanation:
Given equation is 3x + 4y + 6z = 12
We have to find ordered triplet which indicate where the plane cuts the x-axis.
To find x-coordinate where plane cuts the x-axis we put y and z equal to 0.
3x + 4 × 0 + 6 × 0 = 12
3x + 0 + 0 = 12
3x = 12
x = 4
So, the coordinate where it cuts x-axis is ( 4 , 0 , 0 )
Therefore, Option A is correct.
