Add 1 on both sides, then multiply 2 on both sides as well
Left with 5x=20, divide 5
X=4
Answer:
5.7
Step-by-step explanation:
The altitude divides right triangle ABC into similar right triangles ADB and BDC. The ratios of short leg to long leg will be proportional in these similar triangles, so you have ...
AD/BD = BD/CD
Cross multiplying gives ...
AD·CD = BD²
(x+3)(2x+3) = 5²
2x² +9x = 16 . . . . . perform the multiplication, subtract 9
2(x² +4.5x) = 16
2(x² +4.5x +2.25²) = 16 +2(2.25²) . . . . . add 2(2.25²) to complete the square
2(x +2.25)² = 26.125 . . . . . write as a square
x +2.25 = √13.0625 . . . . . .divide by 2, take the positive square root
x = -2.25 +√13.0625 . . . . subtract 2.25 to find x
We want the value of CD, so ...
CD = 2x +3 = 2(-2.25 +√13.0625) +3
CD = -1.5 +2√13.0625 ≈ 5.7284
The length of CD is about 5.7 units.
9514 1404 393
Answer:
9.22
Step-by-step explanation:
The distance formula is ...
d = √((x2 -x1)^2 +(y2 -y1)^2)
Using the given coordinates, the distance between them is ...
d = √((8-(-1))^2 +(0 -(-2))^2) = √(9^2 +2^2) = √85 ≈ 9.22
The length of AB is about 9.22 units.
Answer:
x = (4r +3)/(r +2)
Step-by-step explanation:
Collect x terms, then divide by the coefficient of x.
x(r +2) = 4r +3
x = (4r +3)/(r +2)
Answer:
456
Step-by-step explanation:
1 dollar equals 10 dimes.
So $45.60 would equal 456 dimes
