Answer:
m = - 5/4
Step-by-step explanation:
If two lines are perpendicular, their slopes are negative reciprocals, which means that their product is -1
We can write the equation
4*x - 5*y + 13 = 0
as: 5*y = 4*x + 13 or
y = (4/5)*x + 13 (1)
Equation (1) is the equation of a straight line in its slope point form, 4/5 is the slope, according to this the slope of a perpendicular line is
-5/4
Answer:
Fencing needed = 20.8 units
Step-by-step explanation:
From the figure attached,
Given: Triangle ABC with vertices A(0, 6), B(6, 5) and C(5, -1).
We have to find the length of fence required to cover the triangular garden.
Amount of fencing required = Perimeter of the triangular garden
Perimeter of the garden = AB + BC + AC
Formula to get the distance between A and B,
d = 
AB =
= 
BC =
= 
AC =
=
Perimeter = 
= 6.08 + 6.08 + 8.60
= 20.76
≈ 20.8 units
Therefore, amount of fencing required to cover the triangular park is 20.8 units.
Answer:
a. (x+5)^2 = 49
b. (x+7)^2 = (x+1)^2
Step-by-step explanation:
So the term "a number" is always going to be x. input x into the sentences. "X plus five, then squared, is forty-nine". when they do "is __", that means equal to. In the second question, seven more than x is x + 7 (the two numbers are interchangeable here). Equivalent also means equal. hope this helped :)
L = H - 24
L = low temperature.
H = High Temperature = 92 degrees
L = 92 - 24
L = 68
The <u>correct scale</u> is 1 in = 4 mi.
<u>Explanation</u>:
The scale tells us what a given measurement on the map equals in real-life distance.
The measurement on the map that we have is 2 inches, and it equals 8 miles:
2 in = 8 mi
This can also be written as 2/8. This fraction can be simplified, since both 2 and 8 are divisible by 2; it will simplify to 1/4. This is the same as
1 in = 4 mi.