A horizontal line is one for which the value of y is the same for the entire length of the line. Therefore this type of line can be expressed as below:
Where "c" is a constant that changes the position of the line on the coordinate plane. If c is equal to 2, then we have a constant line that crosses the y-axis at the position 2 for example.
X^2 - 7x = -12
2x - 7x = -12
-5x = - 12
x = 12/5
or
x = 2.4
Answer:
(g°f)x =16 when x = 5
Step-by-step explanation:
It might be easier to understand if you wrote this the other acceptable way.
g(x) = x^4
f(x) = 2x - 8
g(f(x)) means that in g(x) wherever you see and x you put f(x)
g(f(x)) = (f(x) ) ^ 4 Now put in the general value for f(x)
g(2x - 8) = (2x - 8)^4
You really don't want to expand this (although it would give you the right answer eventually).
g(2*5 - 8) = (2 * 5 - 8)^4
g(2*5 - 8) = (10 - 8)^4
g(2*5 - 8) = 2^4
Answer 16
Answer: 1/9
Step-by-step explanation:
Since 1/6 of the day was spent in the flower bed and 2/3 of that was spreading mulch, we need to find 2/3 of 1/6 to find out how much of the day was spreading the mulch.
In math "of" means times
"is" means equals
2/3 of 1/6 is
translates to
2/3 x 1/6 =
Now we just multiply the numerators across and denominators across then reduce if possible...
2/3 x 1/6 = 2/18
2 and 18 both divide by 2 so it reduces
2/18 = 1/9
Answer:
20.6
Step-by-step explanation:
Given data
J(-1, 5)
K(4, 5), and
L(4, -2)
Required
The perimeter of the traingle
Let us find the distance between the vertices
J(-1, 5) amd
K(4, 5)
The expression for the distance between two coordinates is given as
d=√((x_2-x_1)²+(y_2-y_1)²)
substitute
d=√((4+1)²+(5-5)²)
d=√5²
d= √25
d= 5
Let us find the distance between the vertices
K(4, 5), and
L(4, -2)
The expression for the distance between two coordinates is given as
d=√((x_2-x_1)²+(y_2-y_1)²)
substitute
d=√((4-4)²+(-2-5)²)
d=√-7²
d= √49
d= 7
Let us find the distance between the vertices
L(4, -2) and
J(-1, 5)
The expression for the distance between two coordinates is given as
d=√((x_2-x_1)²+(y_2-y_1)²)
substitute
d=√((-1-4)²+(5+2)²)
d=√-5²+7²
d= √25+49
d= √74
d=8.6
Hence the total length of the triangle is
=5+7+8.6
=20.6
