Answer:
EY = 60
DW = 68
DE = 128
Step-by-step explanation:
Given
As YW is the perpendicular bisector of EF, then EY = FY
FY = √(FW² - YW²) = √(68² - 32²) = 60
⇒ EY = 60
As WX is the perpendicular bisector of DF, then DW = FW
As FW = 68, then DW = 68
As WZ is the perpendicular bisector of DE, then DZ = EZ = 64
Therefore, DE = DZ + EZ = 64 + 64 = 128
<h3>
Answer: c = 7/4</h3>
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Work Shown:
Compute the function value at the endpoints
With a = -5 and b = 4, we have
So,
Use algebra to solve for c
4x - 8y = 8
8y = 4x - 8
y = 1/2 x - 1
slope: 1/2
y-intercept:(0, -1)
Line perpendicular- negative reciprocal slope
y-(-1) = -2 (x-0) Hahaha I don't know what is the point slope form though hahaha not sure with this.
Answer:
C and D are unchanged, but E increases.
Step-by-step explanation:
Given equation of circle
x^2+y^2+Cx+Dy+E=0
But we know that general equation of circle is with center at (h,k)
x^2 + y^2 -2hx -2ky + (h^2 + k^2 – r^2) = 0
Comparing both equations we get,
C = -2hx
D = -2ky
As in the given question we are not changing the coordinates of center so C and D will remain unchanged.
It also gives us
E = (h^2 + k^2 – r^2)
Decreasing r means that a lesser quantity will be subtracted from h^2 + k^2 which will increase the value of E.
Volume without holes = 3 x 6 x 11 = 198 cubic inches.
Calculate volume of one hole:
3.14 x 0.5^2 x 3 = 2.355 cubic inches
There are 3 holes: 3 x 2.355 = 7.065
Subtract volume of the holes from the brick:
198 - 7.065 = 190.935 cubic inches.
Rounded to the nearest tenth: 190.9 cubic inches.
