Which equation is equivalent to the given equation? x^2+16x=22 a. (x+8)^2=86
b. (x+8)^2=38
c. (x+16)^2= 278
d. (x+4)^2= 22

answer is a (x+8)^2=86

Step-by-step explanation:

x+8=±√

86

2 Break down the problem into these 2 equations.

x+8=\sqrt{86}x+8=√

86

x+8=-\sqrt{86}x+8=−√

86

3 Solve the 1st equation: x+8=\sqrt{86}x+8=√

86

.

x=\sqrt{86}-8x=√

86

−8

4 Solve the 2nd equation: x+8=-\sqrt{86}x+8=−√

86

.

x=-\sqrt{86}-8x=−√

86

−8

5 Collect all solutions.

x=\sqrt{86}-8,-\sqrt{86}-8x=√

86

−8,−√

86

−8

x

2

+16x−22=0

2 Use the Quadratic Formula.

x=\frac{-16+2\sqrt{86}}{2},\frac{-16-2\sqrt{86}}{2}x=

2

−16+2√

86

,

2

−16−2√

86

3 Simplify solutions.

x=-8+\sqrt{86},-8-\sqrt{86}x=−8+√

86

,−8−√

86

vertical asymptote .

horizontal asymptote .

step-by-step explanation:

given function is .

vertical asymptote is given by setting

denominator =0

when degree of numerator and denominator are same then divide first term of numerator by first term of denominator to get horizontal asymptote.

answer: 75°

step-by-step explanation:

∠esk is the supplement of ∠edk, so is 100°. ∠esd = 1/2·arc ed, so is 25°.

since ∠esk = ∠esd + ∠dsk

you have 100° = 25° + ∠dsk . .

fill in known values 75° = ∠dsk . . . . .

subtract 25°

step-by-step explanation: