Answer:
Length of segment QV = 35 units
Step-by-step explanation:
As shown in the figure attached,
Diagonals of TQVS are perpendicular to each other. Therefore TQVS will be a kite. By the property of a kite,
"There are two pairs of the sides which are equal in measure."
Therefore, TS ≅ TQ and SV ≅QV
Since TS ≅ TQ,
3x + 2 = 29 [Given: TQ = 29 units]
3x = 29 - 2
3x = 27
x = 9
Another pair of the consecutive sides is,
SV ≅ QV ≅ (4x - 1)
By substituting the value of x,
QV = (4 × 9) - 1
= 36 - 1
= 35 units
Therefore, length of segment QV = 35 units
Answer:
9 - 24y
Step-by-step explanation:
12 ( 3/4 - 2y)
Distribute
12 * 3/4 - 12 * 2y
36/4 -24y
Simplfiy
9 - 24y
Answer:
8 - 2x <4 gives us x>2
|x-8| >22 gives us (-inf, -14) and (30,inf)
|x+5| < 4 gives us (-9,-1)
Step-by-step explanation:
Inequalities differs from equalities in that they return a range of values for x and not a single value (case of equalities)
The first one
8 - 2x <4 if you subtract every side 8, you will get -2x<-4
Next divide every side with -2, since its a negative number you have to change the orientation of the inequaiity, thus we have x>4/2, x>2
The second
|x-8| >22, it has to be treated as this. -22>x-2>22 which can be treated as two single inequalities, -22>x-8, and the other, x-8>22. The fist gives you x<-14, and the other x>30, two non intercepting ranges, so your range will be (-inf, -14) and (30, inf)
The third
|x+5| < 4 if you apply the same steps from above, you will have the following -4<x+5<4 This results in two intercepting ranges, giving you the range (-9,-1)
This function will be an exponential function, because the number of rabbits double each year
the basic form for exponential functions is

where s is the starting number, c i s the constant (rate of change like double, triple, etc.) and x is the number repeats (in this case, years)

so in this case, the starting number (year 0) is 8, and the rate of change is 2
therefore, the equation is:

hope this helps!
p.s. can i have brainliest?