Answer:
The function is increasing from x = 0 to x = 1.
Step-by-step explanation:
A <u>function</u> is increasing when the <u>y-value increases</u> as the <u>x-value increases</u>.
A <u>function</u> is decreasing when the <u>y-value decreases</u> as the <u>x-value increases</u>.
From x = -2 to x = -1 the function is decreasing as the y-value decreases as the x-value increases:
- x-value -2 to -1 → increase
- y-value 2 to 0 → decrease
From x = -1 to x = 0 the function is increasing as the y-value increases as the x-value increase:
- x-value -1 to 0 → increase
- y-value 0 to 2 → increase
From x = 0 to x = 1 the function is increasing as the y-value increases as the x-value increase:
- x-value 0 to 1 → increase
- y-value 2 to 8 → increase
Answer:
C.13
Step-by-step explanation:
Making the value of 'a' smaller, but still positive, will make the graph be compressed vertically.
Let's say a = 1 is the initial value. If we update it to a = 0.5, then the graph will be half as tall as it used to be, so it's compressed by a factor of 1/0.5 = 2.
The value of b determines the period of the sinusoidal function.
angle 1 = 180-110 = 70 degrees (linnear pair)
angle 2= 180-115 = 65 degrees (linnear pair)
angle 3 = angle 2 = 65 degrees (corresponding angles)
angle 4= 180 - angle 3 = 180-65 = 115 degrees (linnear pair)
(your teacher might not like this, depends on the cituation, but use 180 degrees in triangle to get 7)
angle 7 = 180 -angle1 -angle 2= 180-70-65= 45 degrees
angle 6 = angle 7 = 45 degrees ( vertical angles)
angle 8= 180- angle 7= 180-45 = 135 ( linnear pair)
angle 9 =angle 6 = 45 degrees (corresponding angles)
angle 5=angle 9=45 degrees (vertical angles)
Answer:
85 units^2 = Area of Blue Square
and
x = 5 units
Step-by-step explanation:
To do this we use the Pythagorean theorem (a^2 + b^2 = c^2). a and b represent the legs of the triangle whereas c represents the longest side of the triangle, or the hypotenuse.
Since we know the area of a square is the side length multiplied by itself (or the side length squared), 
is the side length of the pink square and 
is the side length of the green square.
That means a = and b = , so...
35 + 50 = c^2
85 = c^2
Now we need to square the square root of 85 to find the area of the blue square.
85 units^2 = Area of Blue Square
To solve the other question we use the same formula again.
x = 5 units
