Answer:
Step-by-step explanation:
y = 
Find two points
When x = 0 , y = 0 + 2 = 2
D(0 , 2)
When x = 5;

E(5, 3)
Plot (0, 2 ) and (5 , 3) in the graph and join the points. This will be the line for the equation y =(1/5)x + 2
y = -x + 8
When x =4 , y = -4 + 8 = 4
A(4 , 4)
When x = 6 ; y = -6 + 8 = 2
B(6 , 2)
Plot (4,4) and (6, 2) in the graph and join the points. This will be the line for the equation y = - x + 8.
This lines will intersect at point (5,3) and that point will be the solution of the equation.
Answer:
○ 
Explanation:
Accourding to one of the circle equations,
the centre of the circle is represented by
Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY <em>REALLY</em> ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared. Now, in case you did not know how to define the radius, you can choose between either method:
Pythagorean Theorem

Sinse we are dealing with <em>length</em>, we only desire the NON-NEGATIVE root.
Distanse Equation
![\displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = d \\ \\ \sqrt{[-7 + 4]^2 + [-2 - 2]^2} = r \hookrightarrow \sqrt{[-3]^2 + [-4]^2} = r \hookrightarrow \sqrt{9 + 16} = r; \sqrt{25} = r \\ \\ \boxed{5 = r}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Csqrt%7B%5B-x_1%20%2B%20x_2%5D%5E2%20%2B%20%5B-y_1%20%2B%20y_2%5D%5E2%7D%20%3D%20d%20%5C%5C%20%5C%5C%20%5Csqrt%7B%5B-7%20%2B%204%5D%5E2%20%2B%20%5B-2%20-%202%5D%5E2%7D%20%3D%20r%20%5Chookrightarrow%20%5Csqrt%7B%5B-3%5D%5E2%20%2B%20%5B-4%5D%5E2%7D%20%3D%20r%20%5Chookrightarrow%20%5Csqrt%7B9%20%2B%2016%7D%20%3D%20r%3B%20%5Csqrt%7B25%7D%20%3D%20r%20%5C%5C%20%5C%5C%20%5Cboxed%7B5%20%3D%20r%7D)
Sinse we are dealing with <em>distanse</em>, we only desire the NON-NEGATIVE root.
I am joyous to assist you at any time.
Answer:
x > - 8 or x < 2
Step-by-step explanation:
Given
- 8 < 2(x + 4) or - 3x + 4 > x - 4
Solve each part separately
- 8 < 2(x + 4) ← divide both sides by 2
- 4 < x + 4 ( subtract 4 from both sides )
- 8 < x , thus
x > - 8
OR
- 3x + 4 > x - 4 ( subtract x from both sides )
- 4x + 4 > - 4 ( subtract 4 from both sides )
- 4x > - 8
Divide both sides by - 4, reversing the symbol as a result of dividing by a negative quantity
x < 2
Solution is x > - 8 or x < 2
You are multiplying it by 6 after every comma so if 180 will be multiplied by 6 the next term after comma will be 1080
Answer:
Demand curve for a perfectly competitive firm is perfectly elastic because the perfectly competitive firm can sell any quantity it desires at the prevailing market price. A perfectly competitive firm's demand curve is horizontal line which is equal to equilibrium price of the entire market. Horizontal demand curve depicts that the elasticity of demand for the product is perfectly elastic which means that if any individual firm charged a price a little above market price, it will not sell any products.
The demand curve for monopolistically competitive firm is less elastic than that for a perfectly competitive firm and it slopes downward. This is because this firm can raise its price without losing all of its customers or it can lower the price and gain more customers. These firms have a limited capability to impose the price of its goods. By distinguishing its products, firms in a monopolistically competitive market make sure that its products are imperfect replacement for each other. Consequently, business that works on its branding can raise its prices without endangering its consumer base.