1. Solve the system of equations by graphing:

Mathematics

1 answer:

rjkz [21]2 years ago

3 0

Answer:

Step-by-step explanation:

y = -3x - 3

m = -3_______

b = -3________

y = 2x + 2

m = 2_______

b = _2_______

SOLVE NOW : -3x - 3 = 2x + 2

- 5x = 5

x = -1

subst in y : y = 2(-1)+2 = 0

the solution is : ( - 1 , 0 )

y = -3x- 3 an equation for the line 'red'

y = 2x+2 an equation for the line 'bleus'

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A boat leaves a dock and travels 9 miles due north and 12 miles due west. Find how far the boat is from the dock. Type the corre

adelina 88 [10]

Answer:

15 miles

Step-by-step explanation:

Let's say the dock is at the origin on a coordinate plane and each unit is 1 mile. If the boat travels 9 mile due north, that means that we move up from the origin (0, 0) 9 units to point A (0, 9). Now, this boat moves 12 miles due west, so we will go 12 units to the left of (0, 9) to point B (-12, 9). See the attached drawing (sorry for the crudeness).

Notice that this is a right triangle with legs of 9 and 12. That means the distance from the boat to the dock is just the hypotenuse, so use the Pythagorean Theorem: distance = $\sqrt{9^2+12^2} =\sqrt{81+144} =\sqrt{225} =15$