***second half of geometry test*** If DE = 4x – 1, EF = 9, and DF = 9x – 22 , find the value of x. *
6
8
35
36

Two lines intersect at a . *
angle
point
line
intersection

Points that lie on the same plane are _. *
coplanar
collinear
parallel
perpendicular

Find JK. Means what? *
find the distance between J and K
find the midpoint between J and K
circle JK on your paper
none of these

A plane and a line intersect at *
a point
a line
a plane
they do not intersect

If R is the midpoint of segment QS, QR = 8x – 51 and RS = 3x – 6, find QS. *
9
18
21
42

The midpoint of a segment creates *
two unequal segments
two congruent segments
a segment broken into thirds
none of these

Points that do NOT lie on the same line are considered *
Collinear
Coplanar
Non-collinear
Non-coplanar

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

c.

step-by-step explanation:

substitution for (0,1)

y=x^2+4x+1

1=0^2+4(x)0+1

1=0+4(x)0+1

1=4(x)0+1

1=0+1

1=1

substitution for (-3,-2)

y=x+1

-2=-3+1

-2=-2

the above table 1 will calculate the population size (n) after a certain length of time (t). all you need to do is plug in the initial population number (no), the growth rate (r) and the length of time (t). the constant (e) is already entered into the equation. it stands for the base of the natural logarithms (approximately 2.71828). growth rate (r) and time (t) must be expressed in the same unit of time, such as years, days, hours or minutes. for humans, population growth rate is based on one year. if a population of people grew from 1000 to 1040 in one year, then the percent increase or annual growth rate is 40/1000 x 100 = 4 percent.

step-by-step explanation: