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motikmotik
2 years ago
13

Use a special-product rule to factor the perfect-square trinomial. 81y^2+ 126y + 49

Mathematics
1 answer:
Ivahew [28]2 years ago
7 0

Answer:

The perfect -square trinomial

                  (9y+7)²

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given polynomial equation

                        81 y² + 126 y +49

               ⇒     9² y² + 2(9)(7)y + 7²

                ⇒   (9y)² + 2(9)(7)y +7²

we will use formula

   (a+b)² = a² + 2ab +b²

             ⇒ (9y+7)²

<u><em>Final answer:-</em></u>

The perfect -square trinomial

                  (9y+7)²

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Step-by-step explanation:

Parallel lines have the same slope. In the given equation, the slope is 2/3 so the slope of the parallel line will also be 2/3.

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Because <CBD is an inscribed angle and <CAD is a central angle with the same intercepted arc, m<CBD = 55°, or half of the measure of <CAD.

Step-by-step explanation:

The Inscribed Angle Theorem proves that an inscribed angle is half the measure of a central angle, if both the inscribed angle and the central angle intercepts the same arc.

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The statement that best describes the relationship between <CBD and <CAD is "Because <CBD is an inscribed angle and <CAD is a central angle with the same intercepted arc, m<CBD = 55°, or half of the measure of <CAD."

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