Answer:
x = - 
, x = 
Step-by-step explanation:
to find the points of intersection equate the 2 equations , that is
7x - 15 = 10 + 12x - 6x² ( subtract 10 + 12x - 6x² from both sides )
6x² - 5x - 25 = 0 ← factor the quadratic on left side
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 6 × - 25 = - 150 and sum = - 5
the factors are - 15 and + 10
use these factors to split the x- term
6x² - 15x + 10x - 25 = 0 ( factor the first/second and third/fourth terms )
3x(2x - 5) + 5(2x - 5) = 0 ← factor out (2x - 5) from each term
(2x - 5)(3x + 5) = 0
equate each factor to zero and solve for x
3x + 5 = 0 ⇒ 3x = - 5 ⇒ x = -
2x - 5 = 0 ⇒ 2x = 5 ⇒ x =
Answer:
x > 1
Step-by-step explanation:
5 - 2x < 7
-5 - 5
-2x < 2
/-2 /-2
(dividing by negative switches the sign)
x >- 1
You can use this formula to solve this problem... it uses the surface area to find the volume.
V= (A^3/2)/(6√pi)
Substitute the surface area value into "A" and then solve as you would on paper. I'm sorry I couldn't show you the entire process but this should get you your answer. Plus if your teacher asks for work, I just set you up and everything else should be self explanatory.
But the answer is ----> 33.5 inches cubed
Answer will be D. Absolute value can never be negative.
1m = 100 cm
so
40 m = 4,000 cm
25 m = 2,500 cm
10 m = 1,000 cm
perimeter of big rectangle = 2(4,000 + 2000) = 12,000 cm
perimeter of small rectangle on the left: 2(2,500 + 800) = 6,600 cm
perimeter of small rectangle on the right: 2(1,000 + 800) = 3,600 cm
perimeter of circle = πd = 3.141593 x 200 = 628.32 cm
total area of the pitch and seating area :
= 12,000 + 6,600 + 3,600 + 628.32 = 22,828.32<span> cm
answer
</span>22,828.32 cm<span>
</span>
