$y = mx + c \\ 6 = 3m + c...(1) \\ - 2 = 7m + c...(2) \\ subtract \: (2) - (1) \\ 4m = - 8 \\ \therefore \: m = - 2 \: sub \: in \: (1) \\ 6 = 3( - 2) + c \\ \therefore \: c = 12 \\ \boxed{y = - 2x + 12}$

7 0

3 years ago

Read 2 more answers

If log a = x and log b = y, then log (ab2) equals

mylen [45]

Answer:

The answer for log(ab²) is x + 2y.

Step-by-step explanation:

You have to apply Logarithm Law,

$log(a) + log(b) \: ⇒ \: log(a \times b)$

$log( {a}^{n} ) \: ⇒ \: n log(a)$

In this question, you have to seperate it out :

$log(a {b}^{2} ) = log(a) + log( {b}^{2} )$

$log( {b}^{2} ) = 2 log(b)$

$let \: log(a) = x$

$let log(b) = y$

$log(a {b}^{2} ) = log(a) + 2 log(b)$

$log(a {b}^{2} ) = x + 2y$

3 0

3 years ago

Which payment plan is correct?

garri49 [273]

Out of what? Nothing is shown. :(

7 0

3 years ago

What is the area of a triangle that has a height of 10 feet and base length of 6 feet

disa [49]

Answer:

A = 30

Step-by-step explanation:

The area of a triangle is $\frac{1}{2} bh$

Plug in the values given:

A = 1/2 (10) (6) = 1/2 (60) = 30

4 0

4 years ago