Answer:
4x² + 12 = 7x
4x² + 12 - 7x = 0
use the quadratic formula and get your answer!
Step-by-step explanation:
A, since the graph is not in a "U" shape aka parabola the degree cant be 2 so C is wrong and B and D are negative fuctions while the graph is showing one that is positive.
Answer:
See missing answers bold
$20 original = $5 final paid as $15 was s/p before -10 was added
$30 original = $14 final price as $24 was s/p before -10 was added
$60 original = $35 final price as $45 was s/p before -10 was added
$92 original = $69 final price as $59 was s/p before -10 was added
Step-by-step explanation:
Ans in bold
A) = f(x) = 20(0.75) -10 = 15 - 10 = $5 = £5 final paid
B)= f(x) 30 (0.75) = 24 - 10 = 14 = $30 original price
C) = f(x) = 60(0.75) -10 = 45 -10 = $35 = $35 final price
D) = f(x) = 92 (75) = 69 -10 = $59 = $92 original price
Answer:
Step-by-step explanation:
The ladder, ground, and building form a right triangle where the vertical distance between the top of the ladder and the bottom of the ground is one leg, the horizontal distance between the bottom of the ladder and the building is another leg, and the length of the ladder is the hypotenuse.
For any right triangle, the Pythagorean Theorem states that the sum of the squares of both legs is equal to the hypotenuse squared (
), where 
is the hypotenuse.
Let the length of the ladder be 
(hypotenuse of right triangle). The distance between the top of the ladder and the ground (vertical distance) can be represented as 
.
From the Pythagorean Theorem, we then have:
Expand using 
:
Subtract from both sides and add 
to both sides:
Combine like terms:
Divide both sides by 2:
Therefore, the length of the ladder is 25 feet.
