Answer:
k = 
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
note the line crosses the y-axis at - 3 ⇒ c = - 3
y = 2x - 3 ← is the equation of the line
Since (k, 10) lies on the line then the coordinates of the point make the equation true.
substitute (k, 10) into the equation and solve for k
10 = 2k - 3 ( add 3 to both sides )
13 = 2k ( divide both sides by 2 ), hence
k =
Answer:
15.6m
Step-by-step explanation:
FE is the hypotenuse, and we know the leg opposite of the angle, so we have to use the sin
sin = opposite/hypotenuse
hypotenuse * sin = opposite
hypotenuse = opposite / sin
FE = 10/0,64... = 15.6
Answer:
the answer is 42 because your dividing 7 by 9
Step-by-step explanation:
Coefficient of 'x'= 5a
Coefficient of 'x square'= -17
Constant term = 14a
Answer:
A = 0.8 litres
B = 0.7 litres
C = 0.5 litres
D = 0.2 litres
Step-by-step explanation
Here's what we know:
1. Jug A = B + .1 litres
2. Jug C = B - 200 (or 0.2 litres)
3. Jug D = .25 x A
4. Jug A + Jug B = 1.5 litres
In problem 1, we learned that Jug A has .1 litres more than Jug B and in problem 4, the two of them added together are 1.5 litres. To solve this we can combine the problems.
B + .1 litres + B = 1.5 litres
2B + .1 = 1.5
Subtract .01 from each side and you have 2B = 1.4
Divide each side by 2 and you have B = 0.7 litres
Plug this info into problem 1 and you can solve for A. (0.7 + 0.1 = 0.8)
Plug this info into problem 2 and you can solve for C. (0.7 - 0.2 = 0.5)
Since you have A, you can use that info to solve problem 3 (0.25 x 0.8 = 0.2)
