<u><em>Answer:</em></u>
The bird is approximately 9 ft high up in the tree
<u><em>Explanation:</em></u>
The required diagram is shown in the attached image
Note that the tree, the cat and the ground form a right-angled triangle
<u>Therefore, we can apply special trigonometric functions</u>
<u>These functions are as follows:</u>
<u>Now, taking a look at our diagram, we can note the following:</u>
α = 25°
The opposite side is the required height (x)
The adjacent side is the distance between the cat and the tree = 20 ft
Therefore, we can use the <u>tan function</u>
<u>This is done as follows:</u>
which is 9 ft approximated to the nearest ft
Hope this helps :)
The quadratic formula is x equals negative b plus or minus the square root of b squared minus four times a times c, all over 2a.
Looking at the equation, we can find the values for a, b, and c
a=7
b= -10
c= -2
So then putting that back into standard form, which is ax^2+bx+c, we know Haley's function in standard form is 7x^2-10x-2
1. 40/60 + 15/60 + 24/60 + 10/60 = 1.48
2.30/60 + 20/60 + 15/60 + 12/60 + 10/60 = 1.45
Input (x-value)
Output (y-value)
You need to find the x-value that produces a y-value of -1. Since you know:
y = -1 Use the rule, and substitute/plug this into the equation
y = -2x + 33 Plug in -1 for "y" in the equation since y = -1
-1 = -2x + 33 Subtract 33 on both sides
-1 - 33 = -2x + 33 - 33
-34 = -2x Divide -2 on both sides to get "x" by itself
17 = x
An input of 17 yields an output of -1
Answer: x=3 units. Perimeter:22 units
Step-by-step explanation:
P=perimeter
3x-1=2x+2
x-1=2
x=3 units
P=3x-1+2x+2+2x
P=3(3)-1+2(3)+2+2(3)
P=9-1+6+2+6
P=8+8+6
P=22 units
