key words and need to know

Question 1

A linear equation in one variable will have infinitely many solutions if the equation reduces to a statement that is always true. When written in the form
ax+ b= cx + d

Answer 1

ax and cx need to have the same values as do b and d.

Question 2

volume of a cube

Answer 2

V = S^3 , the volume is the edge length (s) cubed.

Question 3

volume of a prism

Answer 3

V = lwh (length, width, height) the volume of a prism equals the length times the width times the height.

Question 4

equation of a circle

Answer 4

(x - h)^2 + (y - k)^2 = r^2

Question 5

slope line form (mx)

Answer 5

Y2-y1 / x2-x1

Question 6

b= y- intercept

Answer 6

where x=0

Question 7

x- intercept

Answer 7

y=0

Question 8

vertex form,and equation to find vertex of a parabola (u on the graph)

Answer 8

f(x) = a (x - h)^2 + k , vertex = (h, k)

h = horizontal shift
k = vertical shift

a is what yot finding, the equation should end with a=?

Question 9

b ^2 - 4ac < 0, negative

Answer 9

no real solutions, the answer is negative so there is no real solution

Question 10

b ^2 - 4ac = 0, the answer is zero

Answer 10

1 real solution

Question 11

b ^2 - 4ac > 0, positive

Answer 11

2 real solutions

Question 12

A(t) = Ao (1 +- r)^t

Answer 12

A(t)= y- value
Ao = intital amount/ starting
t= x-value (time)
r = rate
- is decay/ decrease
+ is growth/ increase

Question 13

circle equation

Answer 13

(x - h)^2 + (y k)^2 =r^2

Question 14

(x - h)^2 + (y k)^2 =r^2 center is

Answer 14

(h, k) the center is not a point on the circle

Question 15

pythagorean theorem

Answer 15

a^2 + b^2 = c^2 , C= hypotenuse

Question 16

midpoint formula

Answer 16

M = (x1 + x2)/2, (y1 + y2)/2

Question 17

vertex on a parabola f(x)= ax^2 +bx + c , when you want to rewrite the equation as y= a (x - h)^2 + k

A vertex point where two or more curves, lines, or edges meet or intersect. points on graphs.

Answer 17

h = -b / 2a