Answer:
See below
Step-by-step explanation:
The graph is formed from f(x) = |x|.
f(x) = |x| is shaped like a V with the vertex at the origin and the slope of each arm = 1. Then f(x) = |x + 3| will have the same shape but will be moved 3 units to the left so the vertex is at (-3,0). The - 1 ( to give f(x) = |x + 3| - 1) translates the whole graph 1 unit down so the vertex is at the point (-3, -1).
The domain is All Real x and the range = All real values of f(x)
equal or greater than -1.
(7)
if r perpendicular to s then angles 1,2,3,4=90 deg.
if t perpendicular to s then angles 5,6,7,8=90 deg.
If two different lines intersect a third line at the same angle then they must be parallel.
r and t intersect s at the angle 2=90 deg and 6 = 90 deg, therefore r and t are parallel.
(6) use sum of angles in a triange =180 deg property.
first, the complement to 105 is an angle of 75 deg. then x=180-(24+75)=81 deg
x=81 deg
(5)
(4) sum of angles = 180 deg
62 +45 + k = 180
k = 180 -107 = 73
k = 73
Answer:
The slope is 0
The line is a horizontal line
The line has no y-intercept
Answer:
B. 19.1cm
Step-by-step explanation:
Perimeter of a square = 4 × length
Perimeter = 54cm
Perimeter of a square = 4 × length
54 = 4 × length
54 = 4l
Divide both sides by 4
l = 54 / 4
= 13.5cm
Find the length of a diagonal,
Diagonal = hypotenuse
Using Pythagoras theorem
Hypotenuse^2 = opposite^2 + adjacent^2
Opposite = adjacent in a square because of the equal length
Opposite = adjacent = 13.5cm
Hypotenuse^2 = opposite^2 + adjacent^2
= 13.5^2 + 13.5^2
= 182.25 + 182.25
Hypotenuse^2 = 364.5
Find the square root of both sides
√Hypotenuse^2 = √ 364.5
Hypotenuse = 19.09cm
To the nearest tenth = 19.1cm
B. 19.1cm
Answer:
Step-by-step explanation:
0,20
