Answer:
Step-by-step explanation:
Angles in a straight line add up to 180°.
Angles in a triangle add up to 180°.
Answer:
a) Water height, H(g) = 8g^2 + 3g -4 - [9g^2 -2g -5] = 8g^2 + 3g -4 -9g^2 + 2g +5 = -g^2 +5g +1
b) g = 1
H(g) = -(1)^2 + 5(1) + 1 = -1 + 5 + 1 = 5
g=2
H(g) = -(2)^2 + 5(2) + 1 = -4 + 10 + 1 = 7
g=3
H(g) = -(3)^2 + 5(3) + 1 = -9 +15 +1 = 5
c) Greatest height
Find the vertex of the parabole
The vertex is at the mid point between the two roots.
To find the roots you can use the quadratic equation
The result is g = 5/2 + [√29]/2 and g = 5/2 - [√29]/2
The middle poin is 5/2 = 2.5
Now find H(2.5) = -(2.5)^2 + 5(2.5) + 1 = 7.5 ≈ 7.3
hope this helps
Answer:
4
Step-by-step explanation:
the square root of 2 is an irrational number.
The orientation of the ladder with the wall forms a right triangle. The ladder length is the hypotenuse of the triangle, the distance between the ladder at ground level and the base of the wall is the horizontal leg of the triangle, the height of the ladder is the vertical leg of the triangle.
Since we have a right triangle, we can use the Pythagorean theorem.
Let x = the height of the ladder
Write the equation for the Pythagorean theorem using the information.
x2 + 162 = 232
Solving for x, we have
x2 = 232 - 162
x = √(232 - 162)
x = √(529 - 256)
x = √(273)
x = 16.52
The ladder reaches 16.52 feet high.
The answer is 1:13 you have to divide
