The perimeter is the sum of the lengths of the sides.
1) Upper base: 6 - 4 = 2 units
2) Lower base: 8 - 2 = 6 units
3) left side:
left side ^2 = (4 - 2)^2 + (9 - 4)^2 = 2^2 + 5^2 = 4 + 25 = 29
=> left side = √29 units
4) rigth side = (8 - 6)^2 + (9 - 4)^2 = 29
=> right side = √29 units
5) Perimeter = 2 units + 6 units + √29 units + √29 units = 8 + 2√29 units
Answer: option D. 8 + 2√29 units
A graph shows the solutions to be
.. x = -3
.. x = 1
Here's an analytic solution.
.. f(x) = g(x)
.. -2x = x^2 -3 . . . . . . substitute the given function definitions
.. 0 = x^2 +2x -3 . . . . add 2x
.. 0 = (x -1)(x +3) . . . . . factor
Use the zero-product rule to find values of x that are solutions. One or the other of the factors must be zero for the product to be zero.
.. x -1 = 0 . . . . first factor is zero
.. x = 1
.. x +3 = 0 . . . second factor is zero
.. x = -3
Answer:
b and d
Step-by-step explanation:
i think its d i couldnt read the story so if im wrong i am terriably sorry.
Answer:
Prime: x^2 + 17x - 30.
Difference of 2 squares: 256x^4 - 49x^2.
GCF: 4x^2 - 24x + 144.
Perfect Square trinomial: 4a^6 - 28a^3 + 49
Factoring Trinomial: b^2 + 5b - 36.
Step-by-step explanation:
1. x^2 + 17x - 30 will not factor.
2. 256x^4 - 49x^2 = (16x^2 + 7x)(16x^2 - 7x)
3. 4x^2 - 24x + 144 = 4(x^2 - 6x + 36).
4. 4a^6 - 28a^3 + 49 = (2a^3 - 7)^2.
5. b^2 + 5b - 36 = (b + 9)(b - 4).
Answer:
Step-by-step explanation:
(x + 6)/2 = -3
x + 6 = -6
x = -12
(y - 2)/2 = 0
y - 2 = 0
y = 2
(-12, 2)