<u>Answer:</u>
Perimeter = 20 units
x = 120°
<u>Step-by-step explanation:</u>
We are given a triangle ABC with known side lengths for all three sides and an inscribed circle.
We are to find the perimeter of triangle ABC and the value of x.
Perimeter of triangle ABC = 2 + 2 + 5 + 5 + 3 + 3 = 20 units
The kite shape at the end is a quadrilateral which has a sum of angles of 360 degrees.
Two out of four angles are right angles and one is 60 so we can find the value of x.
x = 360 - (90 + 90 + 60) = 120°
Reversing the clauses of an "if-then" statement only sometimes makes the new statement true, so it isn't true or false. For example, reversing the clauses of "if 1=x, then x=1" makes the new statement true, but reversing the clauses of "if x=2, then |x|=2" doesn't.
<span>Scale drawings make it easy to see large things on paper, like a house or road</span>
Answer:
<h3>
The y value achieves its minimum at x = 4/3</h3>
Step-by-step explanation:
Given the graph of y to be 3x² - 8x + 7, to get the value of x for which the graph function achieves its minimum y value, we need to find its turning point first.
At the turning point, dy/dx = 0
Given y = 3x² - 8x + 7
The y value achieves its minimum at x = 4/3
Problem
For a quadratic equation function that models the height above ground of a projectile, how do you determine the maximum height, y, and time, x , when the projectile reaches the ground
Solution
We know that the x coordinate of a quadratic function is given by:
Vx= -b/2a
And the y coordinate correspond to the maximum value of y.
Then the best options are C and D but the best option is:
D) The maximum height is a y coordinate of the vertex of the quadratic function, which occurs when x = -b/2a
The projectile reaches the ground when the height is zero. The time when this occurs is the x-intercept of the zero of the function that is farthest to the right.
