I will show you how to do the first one.....we are finding the GCF...the largest number that goes into each number (same for variables)

1.) 20yx , 80x³ ( factor each number and variable)

20 = 2, 4, 5, 10, 20
y = y
x = x
80 = 2, 4, 5, 8, 10, 16, 20, 40, 80
x³ = x, x, x

what is the largest number that 20 and 80 have in common? 20...
how about the variables? x

so, the Greatest Common Factor (GCF is 20x)

8 0

3 years ago

What's substitution for: X=y-7 X+8y=2

MrRissso [65]

$\left \{ {{x=y-7} \atop {x+8y=2}} \right. \\\\
substitute\ x=y-7\ into \ the\ second\ equation\\\\
y-7+8y=2\\\\
9y-7=2\ \ \ | add\ 7\\\\
9y=9\ \ \ | divide\ by\ 9\\\\
y=1\\\\x=y-7=1-7=-6$

4 0

2 years ago

In parallelogram DEFG if m_DEF=110° find m_FGD. E 110° D G

Sergio039 [100]

Answer:

E=x

or 110= x ( opposite angles of parallelogram are congurent)

E+D = 180 ( angles on st line)

110+D =180

D=70

D=F ( opposite angles of parallelogram are congurent)

so F=70

3 0

2 years ago

a ball is thrown into the air with a velocity of 40 ft/s, its height in feet seconds later is given by y=40t-16t^2. a) Find the

Scorpion4ik [409]

V(t) = dy/dt = 40 - 32t
ai). average velocity = (v(0.5) - v(0))/(0.5 - 0) = ((40 - 32(0.5)) - (40 - 32(0)))/0.5 = (40 - 16 - 40)/0.5 = -16/0.5 = -32m / s

ii). average velocity = (v(0.1) - v(0))/(0.1 - 0) = ((40 - 32(0.1)) - (40 - 32(0)))/0.1 = (40 - 3.2 - 40)/0.1 = -3.2/0.1 = -32m / s

iii). average velocity = (v(0.05) - v(0))/(0.05 - 0) = ((40 - 32(0.05)) - (40 - 32(0)))/0.05 = (40 - 1.6 - 40)/0.05 = -1.6/0.05 = -32m / s

5 0

3 years ago