The equation of the line that is perpendicular to y = -5/2 x + 1 and passing through (10, 3) will be y = 2/5 x + 1.
<h3>What is the linear system?</h3>
A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equation of the perpendicular line will be given as
y = mx + c
The given equation is y = -5/2 x + 1.
The slope of the line is -5/2.
Then the product of the slope of the perpendicular lines is a negative one.
-5/2 × m = - 1
m = 2/5
Then the equation will be
y = 2/5 x + c
Then the equation is passing through (10, 3). Then we have
3 = 2/5 × 10 + c
3 = 2 + c
c = 1
Then the equation is y = 2/5 x + 1.
More about the linear system link is given below.
brainly.com/question/20379472
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Answer:
B. 27.5
Step-by-step explanation:
1/2 (b x h)
B (Base) = 11
H (Height) = 5
1/2 (11 x 5)= 27.5
<h2>Question:- Area of the given diagram</h2>
<h2>Answer :- </h2>
Divide the diagram as shown in attachment.
Now first calculate the area of the rectangle having side 1 and 12
So area = length ×breadth
Area = 1× 12 = 12 unit²
Now find the Area of the remaining triangle with sides 12,13,5 units
So

Now put the value as -> base= 5 and height= 12

Now add both areas for your answer

The answer should be 19.25