length = 4 yards and width = 3.5 yards
let width be w then length is 2w - 3
area = w(2w - 3) = 14 (rearrange in standard form )
2w² - 3w - 14 = 0 ← in standard form
(2w - 7 )(w + 2 ) = 0 ← in factored form
equate each factor to zero and solve for w
2w - 7 = 0 ⇒ w = 3.5
w + 2 = 0 ⇒ w = - 2
but w > 0, hence w = 3.5
width = 3.5 yards and length = (2 × 3.5 ) - 3 = 4 yards
Colin scored 62 and Brian scored 59.
Brian scored 59 more points than Colin, so add 59 to 62. You get 121.
Now, combine Colin and Brian's score.
62 + 121 = 183.
Brian made a total of 121 points.
The total score of the game is 183 points.
Answer:
last option bottom right
x can be equal or greater than -2
Answer:
The solution of the given system is (x,y) = (1,4)
Step-by-step explanation:
Here, the given system of equation is:
x = -3 + y
26 x - 5 y = 6
Now, substitute x = -3 + y in the second equation , we get
26 x - 5 y = 6 ⇒ 26 (-3 + y) - 5 y = 6
or, 26(-3) + 26(y) - 5y = 6
⇒ - 78 + 26 y - 5y = 6
⇒ 21 y = 84
⇒ y = 84 / 21 = 4 or , y = 4
So x = -3 + y = -3 + 4 = 1
Hence, the solution of the given system is (x,y) = (1,4)
Answer:
1. 8.19, 2. 25.96, 3. 3.95
Step-by-step explanation:
use soh cah toa
1. cos is adjacent/hypotenuse
cos73=x/28
multiply both sides by 28
28cos73=x=8.186
2. sin is opposite over hypotenuse
sin68=x/28
multiply both sides by 28
28sin68=x=25.961
3. sin is opposite over hypotenuse
sin26=x/9
myltiply both sides by 9
9sin26=x=3.945
