How many solutions are there to this system of equations?
1 answer:
Answer:
no solution
Step-by-step explanation:
the solution to a system of equations is at the points of intersection of the 2 lines.
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x - 4 ← is in slope- intercept form
with slope m =
y = x - 1 ← is in slope- intercept form
with slope m =
• Parallel lines have equal slopes
then the 2 lines are parallel and never intersect.
Thus the system of equations has no solution
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Answer:
The answer is below
Step-by-step explanation:
a) Triangle A is attached in the image below.
The base of triangle A is 3 units and its height is 3 units. The area of a triangle is given as:
Area = (1/2) × base × height
Area of triangle A = (1/2) × base × height = (1/2) × 3 × 3 = 4.5 unit²
Area of the scaled copy = 72 unit²
Ratio of area = Area of the scaled copy / Area of triangle A = 72 unit² / 4.5 unit² = 16
Hence the scaled copy area is 16 times larger than that of triangle A.
b) For the scaled copy:
Area of the scaled copy = (1/2) × base × height = 72 unit²
base × height = 144
Since the base and height are equal
base² = 144
base = 12, also height = 12
Base of scaled copy = 12 = 4 × base of triangle A
Therefore the scale factor used is 4
