2. Simplify -6x - (-9x+4)

Mathematics

2 answers:

iren [92.7K]3 years ago

4 0

Answer:

3x-4

Step-by-step explanation:

Inside of the parenthesis, it cannot be further simplified, so we moe to distributing.

=-6x+9x-4

Combine like terms

=3x-4

cannot be further simplified on its own

Marrrta [24]3 years ago

3 0

Answer:

$\huge\boxed{-6x-(-9x+4)=3x-4}$

Step-by-step explanation:

$-6x-(-9x+4)=-6x-1(-9x+4)\\\\\text{Use the distributive property}\ a(b+c)=ab+ac\\\\=-6x+(-1)(-9x)+(-1)(4)\\\\=-6x+9x-4\qquad\text{combine like terms}\\\\=(-6x+9x)-4=3x-4$

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<u>Solution:</u>

Given, two points are (-6, 6) and (-3, -9)

We have to find the midpoint of the segment formed by the given points.

The midpoint of a segment formed by $\left(\mathrm{x}_{1}, \mathrm{y}_{1}\right) \text { and }\left(\mathrm{x}_{2}, \mathrm{y}_{2}\right)$ is given by:

$\text { Mid point } \mathrm{m}=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

$\text { Here in our problem, } x_{1}=-6, y_{1}=6, x_{2}=-3 \text { and } y_{2}=-9$

Plugging in the values in formula, we get,

$\begin{array}{l}{m=\left(\frac{-6+(-3)}{2}, \frac{6+(-9)}{2}\right)=\left(\frac{-6-3}{2}, \frac{6-9}{2}\right)} \\\\ {=\left(\frac{-9}{2}, \frac{-3}{2}\right)}\end{array}$