Not sure why such an old question is showing up on my feed...
Anyway, let
and
. Then we want to find the exact value of
.
Use the angle difference identity:
and right away we find
. By the Pythagorean theorem, we also find
. (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)
Meanwhile, if
, then (by Pythagorean theorem)
, so
. And from this,
.
So,
Answer:
-23
Step-by-step explanation:
As I increases by 18, y decreases by 12. From the last value in the table, I needs to increase by 2·18 for it to become zero. Hence the y-intercept will be 2·12 less than the last value in the table:
1 - 2·12 = -23 . . . the y-intercept
Answer:
third graph and (3, -1)
Step-by-step explanation:
y = 2/3x - 3
y = -2x + 5
2/3x - 3 = -2x + 5
2 2/3x = 8
8/3x = 8
8x = 24
x = 3
find 'y'
y = -2(3) + 5
y = -1
The third graph is correct because it shows both a line intersecting the y-axis at -3 and the negative slope line is crossing at +5
Fergus has 3 1/4 cups of oats
= 13/4 cups of oats
Oatmeal bars = 2 2/3
= 8/3 cups of oatmeal used
Therefore cups of oats left = 13/4 - 8/3
= 39/12 - 32/12
= 7/12 cups of oats left
She borrowed 1 cup of oats from neighbour
7/12 + 1/1
= 7/12 + 12/12
= 19/12 cups of oats
Blueberry oats muffin = 1 3/4 cups of oats
= 7/4 cups of oats
Total she will have now = 19/12-7/4
= 19/12 - 21/12
= - 2/12
= -1/6
Which means she needs 1/6 cup of oats more
Therefore its option 4
Must click thanks and mark brainliest
The way to find this out is you want to take the number of seeds and divide it by the amount he would like in the pack. You want to see how many 12s can fit into 360. 360/12 if you divide 360 by 12, you will come to your total and final answer of 30 :)
