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3 years ago

Let m = 6x +5. Which equation is equivalent to (6x + 5)^2 – 10 = -18x – 15 in terms of m?

Mathematics

1 answer:

aev [14]3 years ago

7 0

Answer: m² + 3m - 10 = 0

Step-by-step explanation:

From the expression, considering

6x + 5 = m

The original expression

( 6x + 5 )² - 10 = -18 - 15

Factorize the right hand expression,

-18 - 15 = -3( 6x - 15 )

Since m = 6x + 5 , we now substitute for m in that expression

m² - 10 = -3m

Now re arrange the equation in the form,

ax² - bx + c = 0

Now back to the equation,

m² + 3m - 10 = 0,

So the equivalent equation will be

m² + 3m - 10 = 0

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Step-by-step explanation:

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2 years ago

What is the distance between the points (4, 6) and (5, 3)? Write the answer in simplest radical form.

frez [133]

Answer:

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Step-by-step explanation:

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mixas84 [53]

Let's see what we're working on here

$\frac{1}{2} - 2(m) =?$
? = 0
$Simplify this →$ $\frac{1}{2}$

$\frac{1}2y} - 2(m) = ?$

$\frac{2(m)(2)}{2}$

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Subtract ( - )the number 1 from each of your sides on this part

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Multiply( ×) the number -1 to your sides for this part of the equation

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