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scoray [572]
3 years ago
15

G(x) = x2 + 3x - 2, find g(-2) Please Explain

Mathematics
1 answer:
Vlad1618 [11]3 years ago
5 0
G(-2) means "evaluate the equation at -2"; it's asking you to swap out the "x" in the equation and sub in -2.

g(x) = x² + 3x - 2  ... plug in -2
g(-2) = (-2)² + 3(-2) - 2  ... simplify
g(-2) = 4 + (-6) - 2 ... add/subtract
g(-2) = -4
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Step-by-step explanation:

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Given: AB || DE , AD bisects BE.<br> Prove: ABC = DEC using the ASA postulate.
Ket [755]

Answer:

As per ASA postulate, the two triangles are congruent.

Step-by-step explanation:

We are given two triangles:

\triangle ABC and \triangle DEC.

AD bisects BE.

AB || DE.

Let us have a look at two properties.

1. When two lines are parallel and a line intersects both of them, then <em>alternate angles </em>are equal.

i.e. AB || ED and \angle B and \angle E are alternate angles \Rightarrow \angle B = \angle E.

2. When two lines are cutting each other, angles formed at the crossing of two, are known as <em>Vertically opposite angles </em>and they are are <em>equal</em>.

\Rightarrow \angle ACB = \angle DCE

Also, it is given that <em>AD bisects BE</em>.

i.e. EC = CB

1. \angle B = \angle E

2. EC = CB

3. \angle ACB = \angle DCE

So, we can in see that in \triangle ABC and \triangle DEC, two angles are equal and side between them is also equal to each other.

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8 0
3 years ago
During a sale a dress decreased in price from $80 to $76 what was the percent of decrease
Nesterboy [21]
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4 0
3 years ago
In a marathon 90% runner were managed to complete it and 30% were men if 270 men completed it how many total runner began the ma
Maurinko [17]

Answer:

1000 runners

Step-by-step explanation:

Take total number of runners to be -----------x

90% of x managed to complete the marathon= 90/100 × x =0.9x

30% of those who completed the marathon were men= 30% × 0.9x

=0.3×0.9x= 0.27x

=270 men completed the marathon; this means

0.27x=270--------------------------------find x by dividing both sides by 0.27

x= 270/0.27

x=1000 runners

7 0
3 years ago
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