Answer:
The function g(x) that outputs a y value to satisfy the equation -4·x - 6 = -5·y + 2 is g(x) = y = 4/5·x + 8/5
Step-by-step explanation:
The y value of the equation that the required function g(x) outputs = -4·x - 6 = -5·y + 2
Therefore, we have;
-4·x - 6 = -5·y + 2
-5·y + 2 = -4·x - 6
-5·y = -4·x - 6 - 2 = -4·x - 8
Therefore, y = (-4·x - 8)/(-5) = 4/5·x + 8/5
y = 4/5·x + 8/5
Which gives;
g(x) = y = 4/5·x + 8/5
Therefore;
The function g(x) that outputs a y value to satisfy the equation -4·x - 6 = -5·y + 2 is g(x) = y = 4/5·x + 8/5
We calculate the speed by dividing the distance over time:
s = d/t
So the distance described in the problem is always the same, A to B and B to A.
But we are told that;
7 = d/t
7 = 2d/(t + 2)
that is, the first equation say that at speed 7 km/h a distance d is walked in a time t
the second equation say that at a average speed of 7 (that is 8 on one way and 6 in the other: 8 + 6 = 14, half of it), twice the distance is walked in a time equal to the first time plus 2 minutes.
So we have a system of linear equations, 2 of them with two unknowns, we can solve that:
7 = d/t
7 = 2d/(t + 2<span>)
</span>lets simplify them:
7t = d
7(t + 2) = 2d
7t = 2d - 14
we substitute the first in the second:
<span>7t = 2d - 14
</span><span>7t = d
</span>so:
d = 2d - 14
d = 14
so the distance between A and B is 14 km
Area of a triangle is 1/2 x base x height:
Area = 1/2 x 8 x 20.5 = 82 square cm.
It is hone-half the area of a rectangle with dimensions 20.5 by 8 cm.
Answer:
Step-by-step explanation:
hello :
note :
note : distance between A(X1,Y1) an B (X2,Y2) is :
AB= √((X2 - X1)² + (Y2 - Y1)²) (given point B(2 , 3)
in this exercice : X1 = 2 X2 = ? Y1 = 3 Y2 = ? d=AB=5
d² = (X2 - 2)² + (Y2 - 3)² =25
the points are a distance of 5 units from B (2, 3) if d = 5 :
the points are located on a circle with center B and radius 5
The expanded form of 15 is 10+5.
