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Dmitry [639]
3 years ago
13

Simplify: 8t + 6r - 3t + 2r A. 9rt B. 13rt C. 5t + 4r D. 5t + 8r

Mathematics
2 answers:
iVinArrow [24]3 years ago
8 0
<span>8t + 6r - 3t + 2r =(8t-3t)+(6r+2r)=5t+8r
Correct answer is D
</span>
mr_godi [17]3 years ago
6 0
Let's simplify step-by-step.<span><span><span><span>
8t</span>+<span>6r</span></span>−<span>3t</span></span>+<span>2r</span>
=<span><span><span><span><span>8t</span>+<span>6r</span></span>+</span>−<span>3t</span></span>+<span>2r

</span></span></span>Combine Like Terms:
<span>=<span><span><span><span>8t</span>+<span>6r</span></span>+<span>−<span>3t</span></span></span>+<span>2r</span></span></span><span>=<span><span>(<span><span>6r</span>+<span>2r</span></span>)</span>+<span>(<span><span>8t</span>+<span>−<span>3t</span></span></span>)</span></span></span><span>=<span><span>8r</span>+<span>5t

</span></span></span>Answer:<span>
=
<span>8r+5t
(Or, in your case: D. 5t + 8r)

</span></span>____________________________

<span>Simplify: 8t + 6r - 3t + 2r
A. 9rt
B. 13rt
C. 5t + 4r
D. 5t + 8r </span>



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CD^2=CE^2+DE^2\\CD^2=7^2+9^2\\CD^2=49+81\\CD^2=130\\\\Apply\ square\ root\ on\ both\ sides\\\\\\sqrt{CD^2} = \sqrt{130} \\\\CD=\sqrt{130} \\\\CD=11.4

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BC^2=BD^2+CD^2\\BC^2=7^2+13^2\\BC^2=49+169\\BC^2=218\\\\Apply\ square\ root\ on\ both\ sides\\\\\\sqrt{BC^2} =\sqrt{218}  \\\\BC=\sqrt{218} \\\\BC=14.76

I have an attached an image for Question 2 for better understanding the length of DE in question equals 15 - 6 = 9

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