4x²-5=3x+4
4x²-3x-9=0
x=(3±√((-3)²-4*4*-9))/2*4
x=3±√(9+144) /8
x=(3±√153) /8
x=⅜±√153/8
Answer:
30 units squared
Step-by-step explanation:
1/2(base)(height)
base=10
height=6
1/2(10)(6) = 5*6 = 30!
Answer:
127 per day
Step-by-step explanation:
Total pushups in 4 weeks = 3,556
4-week period( 7 days a week) = 4 × 7
= 28 days
How many push-ups did Joey do each day?
Push ups per day = Total push ups / Total number of days
= 3,556 / 28
= 127
Push ups per day = 127
Joey did 127 push-ups each day for a 4-week period( 7 days a week)
2= 2y - x
23 = 5y - 4x
isolate the x in the first equation
x = 2y - 2
now use this to substitute x in the second equation
23 = 5y - 4 (2y - 2)
23 = 5y - 8y + 6
23 = -3y + 6
-3y = 17
y = -5 2/3 (5.6 repeating )
now use that to find x in either equation.
2 = 2 (-5.66666) - x
2= -11.3 repeating - x
13.3 repeating = -x
x = -13.3 repeating
optional ** use the second equation to check
Answer:
x=60°
Step-by-step explanation:
Let's say the point where angle x is, be K
Because ABCD and PQRS are paralelograms,
∡PSR = ∡PQR =130°
and
∡DAB=∡DCB=70°
and by angles between parallels
∡SPQ + ∡PQR = 180°
∡SPQ + 130° = 180°
∡SPQ = 50°
by angles opposite by vertex
∡PKC = ∡BKQ = x
So in triangle PKC the sum of all angles must add up to 180°
so
∡SPQ + ∡PKC + ∡DCB = 180
50 + x + 70 = 180
x = 60
