Answer:
a. (-3, 2).
b. √65
c. (x + 3)^2 + (y - 2)^2 = 65
Step-by-step explanation:
a. The center is the midpoint of the diameter PQ.
= (-10+4)/2, (-2+6)/2
= (-3, 2).
b. The radius is the distance from the center to a point on the circle.
Take the point (4, 6):
The radius = √((-3-4)^2 + (2-6)^2)
= √65.
c. The equation of the circle is:
Using the standard form
(x - h)^2 + (y - k)^2 = r^2 where (h, k) is the center and r = the radius:
it is (x - (-3)^2 + (y - 2) = 65
= (x + 3)^2 + (y - 2)^2 = 65.
Y = 6 + x
We can use this equation to find the total amount of flour that Otto used in the recipe.
The constraints on 'x' and 'y' are that they must both be positive, because we cannot have a negative amount of flour.
<span>And a restraint something like 50 cups of flour total because one person making a recipe won't use that many cups of flour.</span>
The definition of the tangent function tells you
tan(angle) = (300 ft) / (distance to mountain)
This equation can be rearranged to
(distance to mountain) = (300 ft) / tan(angle)
For the far end of the river,
distance to far end = (300 ft) / tan(24°) ≈ 673.8 ft
For the near end of the river
distance to near end = (300 ft) / tan(40°) ≈ 357.5 ft
Then the width of the river can be calculated by finding the difference of these distances:
width of river = distance to far end - distance to near end
width of river = 673.8 ft - 357.5 ft
width of river = 316.3 ft
The appropriate answer choice is
316 ft.
Answer:
B 244
Step-by-step explanation:
6^3 +7*4
PEMDAS says exponents first
216 + 7*4
Then multiply and divide
216 +28
Now we add and subtract
244
Answer:
She will earn £9.01 per hour after the pay rise
Step-by-step explanation:
Here, we want to calculate a value, given the percentage of the pay rise
From the question, the percentage is 6%
The pay rise is thus;
8.50 + 6% of 8.50
= 8.50 + (6*8.5)/100
= 8.50 + 0.51
= £9.01
