Use the number line to find each measure

ST = 3 units

Step-by-step explanation:

From the number line attached in the picture,

Distance of S from 0 = 7 units

Distance of T from 0 = 4 units

Therefore, distance between S and T = 7 - 4

ST = 3 units

[Note : Length of a segment is always positive so ST can't be negative]

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places