Answer:
i did the first
Step-by-step explanation:
1st way
Standard form: a(X-h)²+k = ( -2/3X² -16/3X -32/3) +32/3 -17/3 = -2/3(X +4)² +5
y = -2/3*X^2-16/3*X-17/3
X = -4 ±√( 15/2) = -6.7386, or -1.2614
Axis of symmetry: X= -4; Vertex (maximum)=(h,k)=( -4, 5); y-intercept is (0,-5.66666666667)
two real roots: X=-1.2613872124776866 and -6.738612787477313
Answer:
y =
x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ = x- intercept (10, 0) and (x₂, y₂ ) = y- intercept (0, - 2)
m =
=
= 
The y- intercept c = - 2
y =
x - 2 ← equation of line
There are 7,920 minutes in 5.5 days
60minutes in an hour
24hours in a day
60 times 24 times 5.5 = 7,920
Answer:
2122.64 in^2
Step-by-step explanation:
Use the formula for the area of a circle: A=πr^2
The radius will be half the width of the cloth so 52÷2=26
26^2=676
Multiply by π given as 3.14
676×3.14=2122.64 square inches.
The symbol (carat) ^ is used to indicate an exponent when the keyboard doesn't have superscript.