I need help on my algebra 1 homework ! If anyone could help it would be greatly appreciated.
1 answer:
For numbers 9 and 10, you just need to find the slope and y-intercept. To find the slope, do change in y over change in x which would be -5 minus -3 over -2 minus -1. and that would equal -2 over -1 which simplifies to 2. So 2 is the slope! and that's a little confusing so I'll attach a picture showing those steps.
to find the y-intercept, plug in an ordered pair in the slope-intercept equation: y=mx + b. Let's just use (-1, -3). So for y, you'd plug in y from the ordered pair, -3, and for the slope (m) you'd plug in 2, since you found that earlier. for x, use the ordered pair again, -1. And you're trying to find the y-intercept (b) so leave that blank to find. So plug all the numbers in and you get -3 = 2(-1) + b. Which you then solve as a one step equation. Again, I've attached a picture if the words are confusing.
for number 10, do the same thing to find the slope! And they've given you the y-intercept in the problem (0,-5). Now I feel like I've written too much so I'll cover the other problems in another answer lol.
to find the y-intercept, plug in an ordered pair in the slope-intercept equation: y=mx + b. Let's just use (-1, -3). So for y, you'd plug in y from the ordered pair, -3, and for the slope (m) you'd plug in 2, since you found that earlier. for x, use the ordered pair again, -1. And you're trying to find the y-intercept (b) so leave that blank to find. So plug all the numbers in and you get -3 = 2(-1) + b. Which you then solve as a one step equation. Again, I've attached a picture if the words are confusing.
for number 10, do the same thing to find the slope! And they've given you the y-intercept in the problem (0,-5). Now I feel like I've written too much so I'll cover the other problems in another answer lol.
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Answer:
The length is 13m.
Step-by-step explanation:
vertex = (3,- 5 )
given a quadratic in standard form : y = ax² + bx + c ( a ≠ 0 ), then
the x-coordinate of the vertex is
= -
y = x² - 6x + 4 is in standard form
with a = 1, b = - 6 and c = 4, hence
= -
= 3
substitute this value into the equation for y- coordinate
y = 3² - 6(3) + 4 = 9 - 18 + 4 = - 5
vertex = (3, - 5 ) → second table