2a^3-4a^2+5a+3
Explanation:
For standard form you always start with the one that has the biggest exponent to the least one
Answer:
Rotation of a point through 180°, about the origin when a point is rotated about the origin through 180° in anticlockwise or clockwise direction, it takes the new position
Step-by-step explanation:
The plus-minus sign represents that there are two possible outcomes.
In this case, we have
![1 \pm \sqrt{5}](https://tex.z-dn.net/?f=1%20%5Cpm%20%5Csqrt%7B5%7D%20)
. When we branch out the possibilities we got 2 values:
![1 + \sqrt{5}](https://tex.z-dn.net/?f=1%20%2B%20%5Csqrt%7B5%7D%20)
and
![1 - \sqrt{5}](https://tex.z-dn.net/?f=1%20-%20%5Csqrt%7B5%7D%20)
Those are the roots of this equation. When they ask their product, they want you to multiply both numbers.
When we multiply them:
![(1 + \sqrt{5}) \times( 1 - \sqrt{5})](https://tex.z-dn.net/?f=%281%20%2B%20%5Csqrt%7B5%7D%29%20%5Ctimes%28%201%20-%20%5Csqrt%7B5%7D%29%20)
When we FOIL the we get:
![1 \times 1 - 1 \times \sqrt{5} + 1 \times \sqrt{5} - \sqrt{5} \times \sqrt{5}](https://tex.z-dn.net/?f=1%20%5Ctimes%201%20-%201%20%5Ctimes%20%5Csqrt%7B5%7D%20%2B%201%20%5Ctimes%20%5Csqrt%7B5%7D%20-%20%5Csqrt%7B5%7D%20%5Ctimes%20%5Csqrt%7B5%7D%20)
Simplify:
![1 - \sqrt{5} + \sqrt{5} - 5](https://tex.z-dn.net/?f=1%20-%20%5Csqrt%7B5%7D%20%2B%20%5Csqrt%7B5%7D%20-%205)
![1 - 5 = 6](https://tex.z-dn.net/?f=1%20-%205%20%3D%206)
So the product of the two roots of this equation is 6.
Answer:
ΔABC was translated right 4 units and down 4 units.
Step-by-step explanation:
A' - A = (3, -2) -(-1, 2) = (3+1, -2-2) = (4, -4)
So, the transformation is (x, y) ⇒ (x +4, y -4).
Adding these values to a coordinate pair causes it to be translated to the right 4 units (x is increased by 4) and down 4 units (y is decreased by 4).
Hey there!
A quadrilateral has 360 degrees. So add all the degrees together to 360. 9x+1+5x-12+8x+61+90=360. 90 degrees is in the bottom left corner. Combine like terms. 22x+140=360. Subtract 140 from each side. 22x=220. Divide 22 on each side to get x=10. Plug in 10 for x in angle D. 5(10)-12=38. The measure of angle D is 38 degrees.
I hope this helps!