Simplify the expression 7.8n²+0.5+9n-.0.4-7n+n²

Mathematics

2 answers:

charle [14.2K]3 years ago

8 0

Answer:

8.8n² + 2n + 0.1

Step-by-step explanation:

For this expression, all you have to do is combine like terms, which means to combine terms with n² with each other, terms with n with each other, and so on.

7.8n² + 0.5 + 9n - 0.4 - 7n + n²

Now, put the n² terms, n terms, and constants (no n) with each other.

7.8n² + n² + 9n - 7n + 0.5 - 0.4

Now you can add and subtract to combine like terms.

7.8n² + n² + 9n - 7n + 0.5 - 0.4

8.8n² + 2n + 0.1

And that's your answer.

Natali [406]3 years ago

4 0

The final answer for this question would be.....

8.8n^2+16n+0.1

Hope this helps!!!!

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Karen notices that segment BC and segment EF are congruent in the image below:

LenaWriter [7]

Answer:

Givens:

$A(-2;2) \ B(-2;4) \ C(0;3) \ D(2;1) \ E(2;3) \ F(0;2)$
$BC \cong EF$
$\angle C \cong \angle F$

Using this information we could recur to SAS postulate to demonstrate the congruence of this pair of triangles. We already have one side and one angle congruent, we just need to demonstrate that $AC \cong DF$ , that will prove the complete congruence.

So, based on the given coordinates, we're able to calculate the length of each side and find if they are the same. We use this formula:

$d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\d_{AC} =\sqrt{(0-(-2))^{2}+(3-2)^{2}}=\sqrt{4+1}=\sqrt{5}\\\\\d_{DF} =\sqrt{(0-2)^{2}+(2-1)^{2}}=\sqrt{4+1}=\sqrt{5}$