The slope is -1/4. Hope this helps! Please mark brainliest! Thank you v much! :)
Answer: Provided.
Step-by-step explanation: We are given two lines 'h' and 'k' which are parallel to each other. Also, there is another line 'j' that is perpendicular to line 'h'.
We are to prove that line 'j' is perpendicular to line 'k'.
Let, m, n and p be the slopes of lines 'h', 'k' and 'j' respectively.
Now, since line 'h' and 'k' are parallel, so their slopes will be equal. i.e., m = n.
Also, lines 'h' and 'j' are perpendicular, so the product of their slopes is -1. i.e.,
m×p = -1.
Hence, we can write from the above two relations
n×p = -1.
Thus, the line 'j' is perpendicular to line 'k'.
Proved.
Answer: length = 8cm
Width = 4cm
Step-by-step explanation:
Let the width of the rectangle be represented by x.
Since the length of a rectangle is twice as long as the width of the rectangle, then the length will be: = 2 × x = 2x
Note that, Area of a rectangle = Length × Width
Therefore,
2x × x = 32
2x² = 32
Divide both side by 2
2x²/2 = 32/2
x² = 16
x = ✓16
x = 4
Therefore, width = 4cm
Since length = 2x
Length = 2 × 4cm = 8cm
Check: length × width = Area
8cm × 4cm = 32cm²
Answer:
D
Step-by-step explanation:
you can just find the value of y and try some number of x
i.e. if x = 0, both of them will be 0
x = 1
G(x) result is -2
F(x) result is 1
x= -1
G(x) result will be 2
F(x) result is -1
so from these we can prove that G(x) is bigger graph than F(x) but flip vertically by y axis
The number π is a mathematical constant, the ratio of a circle's circumference to its diameter, commonly approximated as 3.14159. It has been represented by the Greek letter "π" since the mid-18th century, though it is also sometimes spelled out as "pi" (/paɪ/
