What is the length of Side B C given that Side C G is 2.5 inches and Side G B is 2.5 StartRoot 3 EndRoot inches? Round to the ne
1 answer:
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The equation of the straight line is given by 5y-x=6
An equation can be used to describe a straight line drawn on the Cartesian Plane. These equations have a generic structure and can change based on the slope and where the line intersects the axes.
We will greatly simplify this issue by utilizing the fact that this triangle is specified as a right triangle. We would have had to establish the presence of a right angle if it had been presented as a general triangle.
The segment QR is the hypotenuse of the triangle.
Any side's altitude is located along a line that is perpendicular to that side. We are aware that the slopes of perpendicular lines are negative reciprocals, or:
Slope of line joining Q(3, 5) and R(5, -5)
m=
Hence slope is= -10/2= -5
Now we know that for two perpendicular line the slope of one line is the negative reciprocal of the other.
Slope of line perpendicular to QR=1/5
This line passes through P(-1,1)
Equation of the straight line that passes through (1,-1) and with a slope of 1/5 is given by:
Substituting the values we get:
y-1=1/5(x+1)
or,5y-5=x+1
or,5y-x=6
Hence the equation of the required line is : 5y-x=6
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Answer:
--- Distributive property
Step-by-step explanation:
Given
Ferns = 4
Palms = 2
Lillies = 10
Shrubs = 8
Required
Show the total cost of plants as an expression
Shorten it using the distributive property
First, represent Ferns with F; Palms with P; Lilies with L and Shrubs with S;
So, 4 Ferns = 4F
2 Palms = 2P
10 Lilies = 10L
8 Shrubs = 8S
Total Plants = Summation of the above parameters
The above expression represents the total plants bought;
Now, to apply the distributive property; we simply look for a common factor;
In this case, the common factor is 2;
So, becomes