Y - 3 = 8/3(x + 2)...the slope here is 8/3. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So our perpendicular line will have a slope of -3/8
y - y1 = m(x - x1)
slope(m) = -3/8
(-2,3)....x1 = -2 and y1 = 3
now we sub
y - 3 = - 3/8(x - (-2)...not done yet
y - 3 = -3/8(x + 2) <===
All you have to do is plug in the given x values. your first equations would read:
f(-3) = 2^(-3)
f(-2) = 2^(-2)
f(-1) = 2^(-1)
these can be solved by moving decimal points or entering them into a calculator. regardless of the method, your answers are:
f(-3) = 0.002
f(-2) = 0.02
f(-1) = 0.2
so just repeat that process to fill in the rest of your table. to graph it, you'll use them as normal (x, y) points:
(-3, 0.002)
(-2, 0.02)
(-1, 0.2)
the graph might be a little difficult, working with such small values, but precision isn't totally important--0.002 will be super close to 0, 0.02 will be slightly further, 0.2 will be slightly further. the smaller values don't matter as much graphically and you'll recognize the graph of a growing exponential as you graph more of the table.
Answer:
D
Step-by-step explanation:
It's not similar because when aligning the values they don't match. 3 × 5 = 15 so that bottom line matches but when you do the same thing to the other line: 5 × 3 does not equal 9. There is no similarity between the two triangles.
Answer: a) 6, 0, 10 b) yellow/orange line
Step-by-step explanation:
a) Plug the x in the y functions, y = 2x² + x
when x = -2, y = 2(-2)² + (-2) = 8 - 2 = 6
when x = 0, y = 2(0)² + (0) = 0 + 0 = 0
when x = 2, y = 2(2)² + (2) = 8 + 2 = 10
b) By looking the table, the equation has a point (0,0), only blue and yellow/orange line has the passed the point (0,0), so we delete the red line option.
And we choose a point (1,3), then only yellow/orange line has passed the point (1,3). So the yellow/orange line fits the equation.
* side length^2