Answer:
Step-by-step explanation:
-5x+30
b rainliest
Answer: The correct answer is: C) X, V and Y are collinear points.
Explanation: Three points being collinear does not do much in a similarity proof.
In order to prove similarity, we want to prove that all of the angles of one triangle are congruent to all of the angles of the other triangle.
The reflexive property showing an angle is congruent to itself helps do this.
The Corresponding Angles Postulate helps to prove angles are congruent.
A transversal can help prove angle congruence.
Collinear points will prove that angles sum to 180°, which will not help us prove similarity between triangles.
Commercial jet's speed = 2x-162 (plug this in the equation below)
Private jet's speed = x
Equation:
10(x) = 8(2x-162)
10x = 16x - 1296
6x = 1296
x = 216 (Private jet's speed)
Take the first equation and plug x value in;
2x-162
2(216) - 162 = 270 ( Commercial jet's speed)
Answer:
max height = 7.5 ft
1.3 ft far
Please check below for the detailed answer
Step-by-step explanation:
<u>Given: </u>
f(x) = −0.3x^2 + 2.1x + 7
a) To obtain the maximum height , find f'(x)
f'(x) = - 0.6x + 0.8 = 0
=> x = 0.8 / 0.6 = 1.33 feet
So f(x) is maximum at a horizontal distance of 1.33 ft
To find the max height , find f(1.33)
f(x) = −0.3x^2 + 2.1x + 7, plug in 1.33 for x
=> f(1.33) = −0.3(1.77) + 0.8(1.33) + 7 = 7.5 ft
So the answer is
Maximum height = 7.5 ft , and 1.3 ft far from where it was thrown.