Factor the expression: 84x – 12x

Mathematics

2 answers:

liberstina [14]2 years ago

6 0

Subtract 12x from 84x = 72x

iris [78.8K]2 years ago

3 0

Subtract 84x and 12x from each other to simplify or factor the expression and you get 72x

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The coordinates of triangle GBW are G (20, 10) B (-35, 20), and W (5,-10). Is GBW a right triangle? Justify your answer.

Artist 52 [7]

We know from Pythagoras' Theorem, a right angle triangle can be identified by the relationship:

$a^2+b^2=c^2$

Thus, we know if the side lengths of the triangle in question abide by this relation, the triangle is right.

First, we must find the greatest side length.

We know, using the distance formula.

$GB= \sqrt{(-35-20)^2 +(20-10)^2} =\sqrt{3125}$
$BW= \sqrt{(5+35)^2 +(-10-20)^2} =\sqrt{2500}$
$WG= \sqrt{(20-5)^2 +(10+10)^2} =\sqrt{625}$

From this, we know that:
$GB\ \textgreater \ BW\ \textgreater \ WG$
Therefore, GB would be the hypotenuse of the triangle.
Now we substitute the values for the two shorter lengths and the greater length into the pythagorean theorem:
$a^2+b^2=2500+625=3125$
$c^2=3125$
$\therefore LHS=RHS$
Therefore, this triangle is a right angled triangle

6 0

2 years ago

Find the value of the expression mentally.

pentagon [3]

Answer:

Step-by-step explanation:

This is multiplying by the powers of 10:

100= $10^{2}$