Solve for m. -5m = -35 m = ?

2 answers:

7 0

Solution

1) Divide both sides by −5
m= $\frac{-35}{-5}$

2 Simplify $\frac{-35}{-5}$ to - $\frac{35}{5}$
m= $\frac{35}{5}$

3 Simplify $\frac{35}{5}$ to 7
m=7

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CHECK YOUR WORK

−5m=−35

⇒ Let m=7
−5×7=−35

⇒ Simplify 5×7 to 35
−35=−35

THE ANSWER IS CORRECT

IgorLugansk [536]3 years ago

6 0

-5m = -35

-5m/-5 = -35/-5

m = 7

Answer: m = 7

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Write a quadratic equation with the given roots. Write the equation in the form of ax^2+bx+c=0 where a b and c are integers

Bas_tet [7]

You haven't provided the required roots, but I can tell you how to do this kind of exercises in general.

If the $x^2$ coefficient is 1, i.e. the equation is written like $x^2+bx+c=0$ , then you can say the following about the coefficients b and c:

$b$ is the opposite of the sum of the roots
$c$ is the multiplication of the roots.

So, for example, if we want an equation whose roots are 4 and -2, we have:

$4+(-2) = 4-2 = 2 \implies b = -2$
$4 \cdot (-2) = -8 \implies c = -8$

So, the equation is $x^2-2x-8=0$

If your roots are rational, you can work like this: suppose you want an equation with roots 3/4 and 1/2. You have:

$\dfrac{3}{4}+\dfrac{1}{2} = \dfrac{3}{4}+\dfrac{2}{4} = \dfrac{5}{4} \implies b = -\dfrac{5}{4}$
$\dfrac{3}{4} \cdot \dfrac{1}{2} = \dfrac{3}{8} \implies c = \dfrac{3}{8}$