Answer:
r - 24
Step-by-step explanation:
[X · Y - Z] = (r + 2)(2r - 9)] - (r^2 + 17r + 30)
= (2r^2 + 4r - 9r - 18 ) - r^2 - 17r - 30
= 2r^2 - 5r - 18 - r^2 - 17r - 30
= r^2 - 22r - 48
= (r +2)(r - 24)
so
[X · Y - Z] / X
= [(r +2)(r - 24)] / (r + 2)
= r - 24
Answer:
(-2 , 5)
(-1 , 0)
(1 , -4)
(3 , 0)
(4 , -5)
Step-by-step explanation:
<u>First solve the equation:</u>
x² - 2x - 3
<em><u>Find two numbers with have a sum of -2 and a product of -3.</u></em>
-3 and 1
(x - 3)(x + 1)
Solve for x:
x - 3 = 0
x = 3
x + 1 = 0
x = -1
You know that the graph will cross the x-axis at -1 and 3.
(-1 , 0)
(3 , 0)
You know that the graph is positive.
<u>Complete the square to find the vertex</u>
x² - 2x - 3
(x - 1)² = x² - 2 + 1
x² - 2x - 3 = x² - 2 + 1 - 2 = (x - 1)² - 2
1 = 0
x = 1
Substitute into the original equation:
x² - 2x - 3 =
1² - (2 * 1) - 3 =
1 - 2 - 3 =
-4
(1 , -4)
<em><u>You can input any two numbers within -10 and 10. Such as -2 and 4.</u></em>
x² - 2x - 3 =
-2² - (2 * -2) - 3 =
4- -4- 3 =
5
(-2 , 5)
x² - 2x - 3 =
4² - (2 * 4) - 3 =
16 - 8 - 3 =
-5
(4 , -5)
Answer:
3/40 :D
Step-by-step explanation:
Step-by-step explanation:
we know ,
area of circle =πr^2
hence we get from the figure that the diameter of circle is 19 cm and we can find radius
r=d/2
r=18/2=9cm
area of semicircle =πr^2/2
area of Semi circle equals to =22*(9)^2/7/2
=127.2857143
