Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
3x - 5y = - 2 → (1)
2x + y = 3 → (2)
Multiply (2) by 5 will eliminate y when added to (1), that is
10x + 5y = 15 → (3)
Add (1) and (3) term by term
(3x + 10x) + (- 5y + 5y) = (- 2 + 15)
13x = 13 ( divide both sides by 13 )
x = 1
Substitute x = 1 into (2) for corresponding value of y
2 + y = 3 ⇒ y = 3 - 2 = 1
Solution is (1, 1)
Answer:
arc AC = 111°
Step-by-step explanation:
∠APC is a central angle, so arc AC is equal to the measure of ∠APC.
∠APC and ∠BPC are supplementary. So, m∠APC + m∠BPC = 180
m∠APC + 69 = 180
m∠APC = 111
arc AC = 111°
He will be making a right triangle with the legs being 24 x 45. The diagonal will be the hypotenuse of the triangle. To find the amount of fencing we need the perimeter of the triangle.
Use Pythagorean theorem to find the length of the hypotenuse.
a^2 + b^2 = c^2
24^2 + 45^2 = c^2
576 + 2025 = c^2
2601 = c^2
sqrt 2601 = c
c = 51
Adding the three lengths the total fencing needed is
51+24+45=120 meters
A = 28000(0.9275)^5
a = 19219
$19,219 is the answer
Hoped this helped
Answer:
x = 0 and x = 1
Step-by-step explanation:
Given that,
A football is kicked into the air. The height of the football can be modeled by the equation :
Where
h is the height reached by the ball after x seconds
When it touches the ground, h = 0
So,
So, it will touch the ground at x = 0 and x = 1 seconds.
