Find the value if the following expression for the given value of variable. 6t^2 for t = 3

Mathematics

2 answers:

Brut [27]3 years ago

5 0

Step-by-step explanation:

$6t^2\ \text{for}\ t=3.\\\\\text{Put the value of}\ t\ \text{to the expression:}\\\\6(3^2)=(6)(9)=54$

maw [93]3 years ago

4 0

This means it’s 6(3)^2. The PEMDAS process will help in this situation. Since exponents (E) come before multiplication (M), you would raise 3 to the 2nd power first. 3^2 is the same as 3 times 3, which equals 9. Now, you can multiple 6 by 9, which would result with 54. 54 is your answer!

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Given y = a(x - h)^2 + k, p = A. a B. 4a C. 1/4a

Flauer [41]

9514 1404 393

Answer:

C. 1/(4a)

Step-by-step explanation:

We assume you're comparing the vertex form ...

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

to the form used to write the equation in terms of the focal distance p.

y = 1/(4p)(x -h)^2 +k

That comparison tells you ...

a = 1/(4p)

p = 1/(4a) . . . . . . multiply by p/a; matches choice C

Additional comment

When using plain text to write a rational expression, parentheses are needed around any denominator that has is more than a single constant or variable. The order of operations requires 1/4a to be interpreted as (1/4)a. The value of p is 1/(4a).

When rational expressions are typeset, the fraction bar serves as a grouping symbol identifying the entire denominator:

$p=\dfrac{1}{4a}$