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2 years ago

When is the absolute value of a difference equal to the difference of the absolute values?

1 answer:

7 0

<span>ax(d) = absolute value of the difference = ax(a-b).
d(ax) = difference of the absolute value = ax(a) - ax(b).
ax(a-b) = absolute value of (a - b).
ax(a) - ax(b) = absolute value of (a) minus absolute value of (b).

Hope this works :)</span>

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Simplify this expression<br> (5x+2)^2

Galina-37 [17]

[ Answer ]

$\boxed{25x^2 \ + \ 20x\ + \ 4}$

[ Explanation ]

Simplify: $(5x \ + \ 2)^{2}$

------------------------------------------

Apply Perfect Square Formula ( $(a \ + \ b)^{2}$ = $a^{2}$ + 2ab + $b^{2}$ ) a = 5x, b = 2

$(5x)^{2}$ + 2 · 5x · 2 + $2^{2}$ : $25x^{2}$ + 20x + 4

Answer

$25x^{2}$ + 20x + 4

$\boxed{[ \ Eclipsed \ ]}$

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2 years ago

A quadrilateral PQRS is inscribed in a circle, A quadrilateral PQRS is inscribed in a circle. The measure of angle PQR is 85 deg

sasho [114]

Answer:

Measure of arc PQR is 190°

Step-by-step explanation:

First have a sketch of the quadrilateral PQRS inside a circle

You should notice that the intercepted angle is ∠PSR

You should remember that the intercepted arc PQR is twice the intercepted angle ∠PSR

Find the intercepted angle ∠PSR

Remember that in a quadrilateral opposite angles add up to 180°

Hence;

∠PQR+∠PSR=180°

85 + ∠PSR=180°

∠PSR=180°-85°=95°

Find arc PQR

Arc PQR =2×∠PSR

Arc PQR=2×95°

=190°

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3 years ago