Answer:
(a)3-2=1 (b) 4-3=1 (c) 12-1-1=10
Answer:
See below
Step-by-step explanation:
<u>Given function</u>
<u>We can find its factors:</u>
- x³ + 3x² - 7x - 21 =
- x²(x + 3) - 7(x + 3) =
- (x² - 7)(x + 3)
We can conclude that the given polynomial function is fully divisible by (x + 3) and the quotient is (x² - 7)
Also one of zeros of the function is -3
For part A: two transformations will be used. First we will translate ABCD down 3 units: or the notation version for all (x,y) → (x, y - 3) so our new coordinates of ABCD will be:
A(-4,1)
B(-2,-1)
C(-2,-4)
D(-4,-2)
The second transformation will be to reflect across the 'y' axis. Or, the specific notation would be: for all (x,y) → (-x, y) New coordinates for A'B'C'D'
A'(4,1)
B'(2,-1)
C'(2,-4)
D'(4,-2)
Part B: The two figures are congruent.. We can see this a couple of different ways.
- first after performing the two transformations above, you will see that the original figure perfectly fits on top of the image.. exactly the same shape and size.
- alternatively, you can see that the original and image are both parallelograms with the same dimensions.
The infinite series description of trig functions is much neater when the argument is radians. For example, for small angles, sin(x) ≈ x when x is in radians. You could say that radians is the "natural" measurement unit for angles, just as "e" is the "natural" base of logarithms.
If the angle measure were degrees or grads or arcseconds, obnoxious scale factors would show up everywhere.
Answer:
n ≥ 3
Step-by-step explanation:
add (-5) to both sides of equations. Solve for n.
