Answer:
the graph that goes through the points
(0,3), (-4,0)
Step-by-step explanation:
make y the subject
3x-4y=-12
4y=3x+12
y=(3x+12)/4
now when x=0
y=12/4=3
so coordinates (0,3)
now when y=0
0=(3x+12)/4
by multplying both sides by 4
0=3x+12
0=3 (x+4)
divide both sides by 3
0=x+4
x=-4
so coordinates (-4,0)
Answer:
101 meters
Step-by-step explanation:
The direct path across the stream and perpendicular to both sides of the stream is one leg of a right triangle. The 20 meter distance on the arriving side of the stream is another leg of the right triangle. The path he actually took is the hypotenuse of the right triangle.
leg 1 = 99 m
leg 2 = 20 m
hypotenuse = ?
We have a right triangle, and we know the lengths of the two legs. We need to find the length of the hypotenuse, so we can use the Pythagorean theorem.
a^2 + b^2 = c^2
99^2 + 20^2 = c^2
9801 + 400 = c^2
c^2 = 10201
c = sqrt(10201) = 101
Answer: 101 meters
12/24 simplifies to 1/2, seeing as 12 is half of 24. :) Your answer is C.
9514 1404 393
Answer:
y = 3x -8
Step-by-step explanation:
We assume you want the tangent to the parabola y = x² -3x +1 at the given point. The slope is found using the derivative of the function at that point.
y' = 2x -3
At x=3, the slope is ...
y' = 2(3) -3 = 3
The equation of the line through point (3, 1) with a slope of 3 is ...
y -1 = 3(x -3) . . . . use the point-slope form of the equation for a line
y = 3x -9 +1 . . . . . eliminate parentheses, add 1
y = 3x -8
I think it’s the number 3 I’m not sure I’m learning this stuff rn I’m getting the hang of it just it’s hard and not hard at the same time
