“To find the scale factor, we simply create a ratio of the lengths of two corresponding sides of two polygons. If the ratio is the same for all corresponding sides, then this is called the scale factor and the polygons are similar.”
Answer:
As x ⇒-∞, P(x) ⇒ -∞
As x ⇒ ∞, P(x) ⇒ ∞
Step-by-step explanation:
To find left hand end behavior, plug in negative infinity into the function and evaluate...
P(x) = 3(-∞) = -3(∞) = -∞
The 'y' values of the function decrease towards negative infinity as the 'x' values approach negative infinity
P(x) = 3(∞) = ∞
The 'y' values of the function increase towards positive infinity as the 'x' values approach positive infinity
Answer:
x = -31/4 or x = 17/4
Step-by-step explanation:
|4x + 7| − 4 = 20
⇔ |4x + 7| − 4 + 4 = 20 + 4
⇔ |4x + 7| = 24
⇔ 4x + 7 = 24 or 4x + 7 = -24
⇔ 4x = 24 - 7 or 4x = -24 - 7
⇔ 4x = 17 or 4x = -31
⇔ x = 17/4 or x = -31/4
Answer:
The angle between the ramp and the horizontal is 11.54 degrees
Step-by-step explanation:
Here, we want to get the angle between the ramp and the horizontal
What we have to do here is to bring the measure of 2 m near to the edge leftwards, so we can have a right triangle
Now, the angle we want to calculate is the angle that faces the measure 2 m
The given measure of 10 m will represent the hypotenuse of the right triangle
The trigonometric ratio that links the hypotenuse and the opposite is the sine
The sine is the ratio of the opposite to the hypotenuse
Thus, we have it that;
sin theta = opp/hyp
sin theta = 2/10
sin theta = 0.2
theta = sin^-1 0.2
theta = 11.54
I think the answer is KB//DM because they are on different lines and will never touch, they go sideways for eternity.
