Answer:
23 ^ ( a+b)
Step-by-step explanation:
23^a *23^b
Since the bases are the same, we can add the exponents
23 ^ ( a+b)
Answer:
y=-3x+4
Step-by-step explanation:
Using the formula y=mx+b
mx= slope b= y-intercept
hence,
y=-3x+4 has a y-intercept of (0,4)
Answer:
Chips = 14
Pretzel = 14
Cookie = 8
Popcorn = 13
Question Mark = 222
Step-by-step explanation:
First Equation:
Chips + Pretzel + Chips = 42
Third Equation: Chips = Pretzel.
This means that
Pretzel + Pretzel + Pretzel = 42
Pretzel = 
Chips = Pretzel
Chips = 
Second Equation:
Cookie + Chips + Cookie = 30
We know that Chips = 14.
Cookie + 14 + Cookie = 30
Subtract 14 on both sides:
Cookie + Cookie = 16
Cookie =
.
Fourth Equation:
Cookie + Cookie + Popcorn = 29
We know that Cookie = 8.
8 + 8 + Popcorn = 29
16 + Popcorn = 29
Subtract 16 on both sides:
Popcorn = 13.
Question Mark:
(Popcorn + Popcorn)
Cookie + Chips = (13 + 13)
8 + 14 = 26
8 + 14 = 
ln(x−7)==4/3
To solve for x, rewrite the equation using properties of logarithms.
e^ln(x−7) =e^4/3
Solve for x
x=e^4/3 + 7
The result can be shown in multiple forms.
Exact Form:
x= e^4/3+7
Decimal Form:
x=10.79366789
The distance between any two points is:
d^2=(x2-x1)^2+(y2-y1)^2
d^2=(6--2)^2+(4--4)^2
d^2=8^2+8^2
d^2=64+64
d^2=128
d=√128 units