Step-by-step explanation:
for that we use Pythagoras, as the distance is always the baseline (Hypotenuse) of a right-angled triangle created by the x and y coordinate differences between the 2 points.
15.
distance² = (8-3)² + (9-2)² = 5² + 7² = 25 + 49 = 74
distance = sqrt(74) = 8.602325267...
16.
we need to write down the point coordinates first :
(-4, 3)
(1, -3)
distance² = (1 - -4)² + (-3 - 3)² = 5² + (-6)² = 25 + 36 = 61
distance = sqrt(61) = 7.810249676...
Answer:
The y-axis is the correct answer.
Answer:
4
Step-by-step explanation:
Answer:
x = 28/97
y = 532/
Step-by-step explanation:
x + 5y = 20x + 3y
=> 5y - 3y = 20x - x
=> 2y = 19x
=> y = (19x)/2
x + 5y = 14
=> x + 5((19x)/2) = 14
=> x + (95x)/2 = 14
=> (2x + 95x)/2 = 14
=> 97x = 14(2)
=> 97x = 28
=> x = 28/97
=>y = (19x)/2 = (19(28))/(97(2)) = 532/194
Answer:
(1)
Ad g(x) represent f(x) after horizontal translation 2 units to the left.
is the required translation.
(2)
(3) We have been given a point (1,-9); slope 2
We will use the equation:
m is the give slope.
Therefore, Option (a) is correct.
Step-by-step explanation: