Hello from MrBillDoesMath!
Answer: -3/2
Discussion: Assuming neither line is vertical or horizontal the product of the slopes of two perpendicular lines is always -1. We are told the slope of a line is 2/3. The slope of the perpendicular line, "m", is
m * (2/3) = -1
or
m= -3/2
Thank you,
MrB
Hello there, and thank you for posting your question here on brainly.
Yes, you can draw an isosceles triangle with one side equaling 80, as long as the two other sides equal the side of the other. (70, 70, 80 being corner lengths.)
Hope this helps! ☺♥
Answer:
0.3
Step-by-step explanation:
0.96/3.2=n
The <em>factored</em> form of the polynomial is (x - 0.556) · (x + 0.528 - i 0.242) · (x + 0.528 + i 0.242).
<h3>How to factor an algebraic equation</h3>
In this question we have an <em>algebraic</em> expression to be expanded by means of <em>algebraic</em> properties, the purpose of this handling is to modify the polynomial until its <em>standard</em> form is finally obtained and later we find its <em>factor</em> form by Cardano's method. Now we proceed to show the procedure in detail:
2 · x · (2 · x + 1)² + (2 · x + 1) · (4 · x² - 3) Given
2 · x · (4 · x² + 4 · x + 1) + (2 · x + 1) · (4 · x²) + (2 · x + 1) · (- 3) Perfect square trinomial/Distributive property
8 · x³ + 4 · x² + 2 · x + 8 · x³ + 4 · x² - 6 · x - 3 Distributive property/(- 1) · a = - a
16 · x³ + 8 · x² - 4 · x - 3 Distributive property/Definitions of addition and subtraction
(x - 0.556) · (x + 0.528 - i 0.242) · (x + 0.528 + i 0.242) Cardano's method/Result
The <em>factored</em> form of the polynomial is (x - 0.556) · (x + 0.528 - i 0.242) · (x + 0.528 + i 0.242).
To learn more on polynomials: brainly.com/question/11536910
#SPJ1
Join JH and KH.
You did that so you could measure or calculate the size of <JHK. There are 5 such central angles in a pentagon. If you drew a little circle with H as the center and you went around the circle once, you would have traveled 360 degrees. So <JHK = 360/5 = 72. Make sure you understand that before you read on.
Ok here's the trick. 144 = 2*72. That means that when you rotate the pentagon, you rotate it through Two central angles.
What will happen is that Point J will wind up at Point L and Point K will sit where N is right now. All the points not mentioned will do the same thing. They will move two points clockwise.