Points (4,2) and (6, 10)
Eqn:
y - y = m(x - x)
y - 2 = [(2-10)/(4-6)] (x - 4)
y - 2 = (-8/-2) (x - 4)
y - 2 = 4(x-4)
y - 2 = 4x - 16
y - 2 + 2 = 4x - 16 + 2
y = 4x - 14
Therefore the slope (m) would be 4 and the y intercept (b) would be -14.
Answer:
Step-by-step explanation:
Distribute the brackets.
Add on both sides.
Divide on both sides.
Answer:
The three consecutive integers are 5,6,7
Step-by-step explanation:
Let the three consecutive integers be represented as x,x+1,x+2
As per the requirement, largest integer is 3 less than twice the smallest.
=> x+ 2 = 2x -3
=> 2x -x = 2+3
=> x= 5
So the three integers are 5,6,7
Verification:
Largest integer = 7
Smallest integer = 5
2 * smallest integer - 3 = 2* 5 - 3 = 7
Largest integer is also 7.
So the required condition in the question is satisfied by these three integers.
The given triangle is a right triangle.
The tangent of an angle of right triangle is obtained by dividing the opposite side of the angle with the adjacent side of the angle.
The opposite side of angle R is 5 cm and the adjacent side of angle R is 12 cm.
tan R = 5 / 12 = 0.4167
R = arctan (0.4167) = 22.6 degrees.