Answer:
vertex is (4,-25)
Step-by-step explanation:
To find out the vertex we use formula
From the given f(x), the value of a=1, b=-8 and c=-9
Plug in the values in the formula
x=4
Now find the value of y
plug in 4 for x in f(x)
The value of y is -25
The vertex is (4,-25)
Im confused on what your trying to ask...
Answer:
52 × 2 - 31 = 73
Step-by-step explanation:
Use PEMDAS
The way I remember is like this..
Please (Parentheses)
Excuse (Exponents)
My (Multiication)
Dear (Division)
Aunt (Addition)
Sally (Subtraction)
Multiply 52 × 2
which gives you 104.
Then subtract 31 from 101
and that will give you 73.
Answer:y = - 5x - 7
Step-by-step explanation:The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
here m = - 5 and b = - 7, hence
y = - 5x - 7 ← equation of line
The question is find the height of the tree, given that at two points 65 feet apart on the same side of the tree and in line with it, the angles of elevaton of the top of the tree are 21° 19' and 16°20'.
1) Convert the angles to decimal form:
19' * 1°/60' = 0.32° => 21° 19' = 21.32°
20' * 1°/60' = 0.33° => 16° 20' = 16.33°
2) Deduce the trigonometric ratios from the verbal information.
You can form a triangle with
- horizontal leg x + 65 feet
- elevation angle 16.33°
- vertical leg height of the tree, h
=> trigonometric ratio: tan (16.33) = h /( x + 65) => h = (x+65) * tan(16.33)
You can form a second triangle with:
- horizontal leg x
- elevation angle 21.32°
- vertical leg height of the tree, h
=> trigonometric ratio: tan(21.32) = h / x => h = x * tan(21.32)
Now equal the two expressions for h:
(x+65)*tan(16.33) = x*tan(21.32)
=> x*tan(16.33) + 65*tan(16.33) = x*tan(21.32)
=> x*tan(21.32) - x*tan(16.33) = 65*tan(16.33)
=> x = 65*tan(16.33) / [ tan(21.32) - tan(16.33) ] = 195.73 feet
=> h = 195.73 * tan(21.32) = 76.39 feet.
Answer: 76.39 feet
