Answer:
Step-by-step explanation:
Find the slope using the points, (1, -3) and (3, 1):
m = 2
Find the y-intercept (b) by substituting x = 1, y = -3, and m = 2 in
Subtract 2 from both sides
Plug in the value of m and b into the slope-intercept form equation, .
Thus:
✅
The smallest county is 129 square miles large.
Step-by-step explanation:
Let,
Smallest county = x
Largest county = y
According to given statement;
The largest county in the state of Texas is 6064 square miles larger than the smallest county in the same state.
y = x+6064 Eqn 1
The size of the largest county is 48 times the size of the smallest county plus one square mile.
y = 48x+1 Eqn 2
As Eqn 1 and Eqn 2 are both equal to y, therefore,
Eqn 1 = Eqn 2
Dividing both sides by 47
The smallest county is 129 square miles large.
Keywords: linear equation, substitution method
Learn more about substitution method at:
#LearnwithBrainly
Answer: Pythagorean Theorem Pieces of Right Triangles is not a justification for the proof.
Explanation : Here, is a right triangle with sides a, b and c. Perpendicular CD forms right triangles BDC and CDA.
CD measures h units, BD measures y units, DA measures x units.
Draw an altitude from point C to Line segment AB Let segment BC = a segment CA = b, segment AB = c, segment CD = h, segment DB = y, segment AD = x,
y + x = c
a/c=y/a( Similarity theorem in triangles ABC and DBC )
------(1) (Cross Product Property)
Similarly, (Similarity theorem in triangles ABC and ADC)---------(2)
(after adding equation (1) and (2) )
( By additional property of equality)
. ( because y + x=c)
Thus, it has been proved that except Pythagorean Theorem Pieces of Right Triangles we use all other properties.