Answer:
-50
Step-by-step explanation:
b-5 
b-5 = -45 ( collect like terms)
b = -45 + -5
b = -45 -5 b = -50
when given SAS, the area (A) of the triangle = (side1 · sin θ · side2)/2
A = (36 · sin 45° · 36)/2
= (36² · √2)/4
= 9 · 36 · √2
= 324√2
≈ 458.2
Answer:
A. As the value of x increases, the value of f(x) moves toward a constant
Step-by-step explanation:
An exponential function with a base less than 1 will decay to zero. Here, the exponential has -2 added to it, so the decay is toward the value -2.
An exponential function is defined for all real numbers. This one has a y-intercept of -1.
9514 1404 393
Answer:
Step-by-step explanation:
These "special" right triangles have side length ratios that it is useful to remember.
<u>45°-45°-90° triangle</u>
Sides have the ratios 1 : 1 : √2. That is, x is √2 times as long as the side length shown as 18.
x = 18√2
<u>30°-60°-90° triangle</u>
Shortest to longest, sides have the ratios ...
1 : √3 : 2
That is, y is √3 times the length of the side marked 18, and z is 2 times the length of the side marked 18.
y = 18√3
z = 2·18 = 36
Divide the numerator by the denominator .