Answer:
s
Step-by-step explanation:
Part a)
for extraneous solution
<span>
1 ⋅ sqrt(x+2) + 3 = 0</span>
for non extraneous solution
1⋅ sqrt(x+2) + 3 = 6
part b) solve each equation
1⋅sqrt(x+2)+3=0
x+sqrt(x+2)=−3
square both sides
(sqrt(<span>x+2)</span>)^ 2 = (−3)^2
x+2=9
x=9−2
x=7
do you see why its extraneous
The garage door and the hedges
Answer:
15.59 feet
Step-by-step explanation:
We need to find BC and CD
First find BC
We can use the Pythagorean theorem
AB^2 + BC^2 = AC^2
11^2 + BC^2 = 13^2
121 + BC^2 =169
Subtract 121 from each side
121-121+BC^2 = 169-121
BC^2 = 48
Take the square of each side
sqrt(BC^2 ) = sqrt( 48)
BC = 6.92820323
then we need to find CD
We can use the Pythagorean theorem
CD^2 + DE^2 = CE^2
CD^2 + 5^2 = 10^2
CD^2 + 25 =100
Subtract 25 from each side
CD^2 + 25-25 =100-25
CD^2 = 75
Take the square of each side
sqrt(CD^2 ) = sqrt( 75)
BC = 8.660254038
BD = BC +CD
= 6.92820323 + 8.660254038
15.58845727
Answer:
y = 1/2x + 4
Step-by-step explanation:
If the line is perpendicular to y = -2x + 5 then the new line has a slope of 1/2.
So solve for b: using y = mx + b
2 = 1/2(-4) + b
2 = -2 + b
4 = b
Put it all together
y = 1/2x + 4
