Answer:
y = 5x + 92
y = 9x + 27
Step-by-step explanation:
Slope intercept form is written as y = mx + b, and you know that y represents "quects" and x represents months.
For farmer Rew, b would be 92 because that is how many "quects" he started off with. m would be 5 because that is how many new "quects" he gets every month. (y = 5x + 92)
For farmer Joogh, b would be 27 because she started off with 27 "quects." m would be 9 because she gets 9 new "quects" every month. (y = 9x + 27)
Answer:
(5.5, -3.5)
Step-by-step explanation:
As you can see in the figure, the fourth vertex is (5.5, -3.5)
If you observe carefully the vertex given, you will see that there are two vertex with same coordinates in x axis:
- (-1.2, -3.5),
-
(-1.2, 4.4),
And one vertex has other coordinate in x axis, it is: (5.5, 4.4)
To form a rectangle, you need a fourth vertex that will have same coordinate in x than (5.5, 4.4) and same coordinate in y axis as (-1.2, -3.5),
Then the fourth vertex coordinate is (5.5, -3.5)
We need the numbers but usually the first quart is before the median which is the number in middle, hope that made sense
Answer:
<h2>
cos (α + β) = 0.9196</h2>
Step-by-step explanation:
Given sin α = –4∕5 and sin β = 1∕2
To get α from sin α = –4∕5,
α = arcsin(-4/5)
α = arcsin (-0.8)
α = -53.13°
If angle α is in quadrant III, then α = 180+53.13 = 233.13° (sin is negative in the 3rd quadrant)
Similarly for sin β = 1∕2
β = arcsin(1/2)
β = arcsin(0.5)
β = 30°
Since β is in quadrant II, β = 180-30 = 150°
To find cos (α + β). where α = 233.13° and β = 30°
cos (α + β)= cos (233.13 + 150)
= cos 383.13°
cos (α + β) = 0.9196
