It's a linear function in slope-intercept form (y = mx + b)
f(x) = 4 - 4x = -4x + 4
m = -4, b = 4.
Domain of a linear function is the set of all real numbers.
Range of a linear function where m ≠ 0 is the set of all real numbers.
Answer: ![Domain=\mathbb{R},\ Range=\mathbb{R}](https://tex.z-dn.net/?f=Domain%3D%5Cmathbb%7BR%7D%2C%5C%20Range%3D%5Cmathbb%7BR%7D)
Answer:
.
Step-by-step explanation:
Given:
In Right Angle Triangle GIH
∠ I = 90°
GI = 7 ....Side opposite to angle H
GH = 10 .... Hypotenuse
To Find:
m∠H = ?
Solution:
In Right Angle Triangle ABC ,Sine Identity,
![sin \ H = \frac{Oppsite\ side\ to\ \angle H}{Hypotenuse}](https://tex.z-dn.net/?f=sin%20%5C%20H%20%3D%20%5Cfrac%7BOppsite%5C%20%20side%5C%20%20to%5C%20%20%5Cangle%20H%7D%7BHypotenuse%7D)
Substituting the values we get;
![sin\ H = \frac{7}{10} = 0.7](https://tex.z-dn.net/?f=sin%5C%20H%20%3D%20%5Cfrac%7B7%7D%7B10%7D%20%3D%200.7)
Now taking
we get;
![\angle H = sin^{-1}\ 0.7 = 44.427](https://tex.z-dn.net/?f=%5Cangle%20H%20%3D%20sin%5E%7B-1%7D%5C%200.7%20%3D%2044.427)
rounding to nearest tenth we get.
.
Hence
.
Rectangle Z is not a scale drawing of Rectangle Y.
This is because there is no equal sides where it makes up the constant proportionality.
6/4 (= 3/2) in the left and right sides of the rectangle (Y/Z)
4/3 in the top and bottom sides of the rectangle (Y/Z)
As you can see 3/2 is not equal to 4/3 of scaling, so therefore it is not a scaling.