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emmainna [20.7K]
3 years ago
6

Distributive Property- Simplify each expression:-10x(4 + 6x)​

Mathematics
1 answer:
Flauer [41]3 years ago
8 0

Answer: =−60x2−40x

Step-by-step explanation:

(−10x)(4+6x)

=(−10x)(4+6x)

=(−10x)(4)+(−10x)(6x)

=−40x−60x2

=−60x2−40x

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3 years ago
Given: Triangle ABC : triangle ADB. AB =24, AD =16 <br> Find: AC
RoseWind [281]

Answer:

<h2>AC = 36.01</h2>

Step-by-step explanation:

Given ΔABC and ΔADB, since both triangles are right angled triangles then the following are true.

From ΔADB, AB² = AD²+BD²

Given AB = 24 and AD = 16

BD² = AB² - AD²

BD² = 24²-16²

BD² = 576-256

BD² = 320

BD = \sqrt{320}

BD = 17.9

from ΔABC, AC² = AB²+BC²

SInce AC = AD+DC and BC² = BD² + DC² (from ΔBDC )we will have;

(AD+DC)² = AB²+ (BD² + DC²)

Given AD = 16, AB = 24 and BD = 17.9, on substituting

(16+DC)² = 24²+17.9²+ DC²

256+32DC+DC² =  24²+17.9²+ DC²

256+32DC = 24²+17.9²

32DC = 24²+17.9² - 256

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Remember that AC = AD+DC

AC = 16+20.01

AC = 36.01

6 0
3 years ago
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