Answer:
84 (nearest whole number)
Step-by-step explanation:
If x = 10,
Longest leg = (7 x 10) + 4 = 74
Shortest leg = 4 x 10 = 40
Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse of a right triangle):
⇒ 74² + 40² = c²
⇒ 7076 = c²
⇒ c = √7076 = 84.11896...
⇒ hypotenuse = 84 (nearest whole number)
Answer:
y-2 = -5x
5x+y = 2 is the required equation of a line.
Answer:
Step-by-step explanation:
The easiest way to fill out the graph is to find the slope.
The slope is y = 2x + 1.
Insert the x values of the graph for x in the equation to find y.
y = 2(-6) + 1 = -12 + 1 = -11. (-6, -11).
y = 2(-2) + 1 = -4 + 1= -3. (-2, -3).
Then, for finding x, just insert y.
1 = 2x + 1. Subtract 1 from both sides to isolate x.
0 = 2x. x = 0. (0, 1).
y = 2(2) + 1 = 4 + 1 = 5. (2, 5)
3 = 2x + 1. Subtract 1 from both sides.
2 = 2x. x = 1. (1, 3).
The slope of this function is 2x. The y-intercept is 1. The x-intercept is -2.
Answer:
a
Step-by-step explanation:
the graphic is step by step
