Which binomial is equivalent to 3(x - 1) – 2(x – 3)?

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

5 0

Answer:

x+5

Step-by-step explanation:

3(x-1) -2(x-3)

3x-1-2x+6

x+5

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Madam Siti bought the same lengths of red and yellow ribbons. After she used 836 cm of the red ribbon, the length of the yellow

Yuliya22 [10]

Answer: 1045 cm of red ribbon and 1045 cm of yellow ribbon

Step-by-step explanation:

Let R represent the amount red ribbon and Y represent the amouont of yellow ribbon.

bought the same lengths of red and yellow: R = Y

after used 286 of red, yellow is 5 times the remaining red; 5(R - 836) = Y

Use substitution method to solve:

5(R - 836) = R

5R - 4180 = R distributed 5 on the left side

4R - 4180 = 0 subtracted R from both sides

4R = 4180 added 4180 to both sides

R = 1045 divided both sides by 4

5 0

3 years ago

Read 2 more answers

Triangle ABC has side lengths a= 24, b= 40, and c= 55. What is the measure of angle C? 83.6° 116.2° 23.0° 40.7°

Harlamova29_29 [7]

<h3>Answer: 116.2°</h3>

Work Shown:

$c^2 = a^2 + b^2 - 2ab\cos(C)\\\\55^2 = 24^2 + 40^2 - 2*24*40\cos(C)\\\\3025 = 576 + 1600 - 1920\cos(C)\\\\3025 = 2176 - 1920\cos(C)\\\\3025 - 2176 = -1920\cos(C)\\\\849 = -1920\cos(C)\\\\-1920\cos(C) = 849\\\\\cos(C) = (849)/(-1920)\\\\\cos(C) \approx -0.4421875\\\\C \approx \cos^{-1}(-0.4421875)\\\\C \approx 116.243535748231^{\circ}\\\\C \approx 116.2^{\circ}\\\\$