a) (0, 1)
The graph will cross the y-axis at the y-intercept. We can easily find this value by putting the given equation into slope-intercept form (y = mx + b).
y - 4x = 1
y = 4x + 1
The y-intercept is (0,1).
b) k = 6.5
We first need to find c, or the y-intercept. This is given to us on the graph, where the line crosses the y-axis at (0,-3).
Therefore, our line is y = 2x - 3.
Then, we can plug in 10 for y from the point (k,10) and solve for k (which is the same as x).
10 = 2x - 3
13 = 2x
x = 6.5
Hope this helps!
The answer is 5/8 milliliter are left in the bottle at lunch
(1 + 1/2)·(2 + 4/7) - (7/9)/(1/3) = 32/21 = 1.524
We are asked to solve for the height of the triangle such that the AB measurement is 12 units and the CB measurement is 10 units. We will assume that the given triangle is a right triangle so that we can apply hypotenuse theorem c² = b² + a² where c = AB (the hypotenuse), where CB = b and AC is still unknown.
AB² = CB² + AC²
12² = 10² + AC²
AC² = 12² - 10²
AC = 6.63
Therefore the height is 10 units and the base is 6.63 units and the hypotenuse is 12 units.