Lets make the graph of our systems of equations:
The blue line correspond to the equation x-y=3 and the red one correspond to 7x-y=-3. The lines intersect at point (-1,-4), then, the solution of the system is (-1,-4).
The slope of the line shown in the graph is ? and the y intercept of the line is ?
1 answer:
You might be interested in
Answer:
a) Acute triangle
b) Right triangle
Step-by-step explanation:
∵ A triangle having sides a, b and c is called,
Acute : If a² + b² > c² or a² + c² > b² or b² + c² > a²,
Obtuse : if a² + b² < c² or a² + c² < b² or b² + c² < a²
Right : a² + b² = c² or a² + c² = b² or b² + c² = a²,
a) Let A≡(-1, 1), B≡(7,-2) and C≡(1,-5),
By the distance formula,
Similarly,
∵ The sum of any two sides is greater than third side,
So, ABC is a triangle,
Now,
⇒ ABC is an acute triangle.
b) Let P≡(0,6), Q≡(1,2) and R≡(5,3),
By the distance formula,
PQ = √17 unit,
QR = √17 unit,
RP = √34 unit,
∵ The sum of any two sides of PQR is greater than third side,
⇒ PQR is a triangle ,
Also,
Hence, PQR is a right triangle.
Answer:
Step-by-step explanation:
A circle chart can be referred to as a pie chart. This is a chart that expresses each fraction of total data in degrees.
The set of data given is summed so as to determine the total value. Then each data in the set is expressed as a ration of the total value, which is multiplied by . This is to determine the degree of angles that represent each data in the data set. These angles in degrees can now be used to divide the sum of angles in a circle into wedges.
With each wedge in the circle showing the fractional relationship between each data and the total value in degrees.