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Vikentia [17]
3 years ago
12

2(x + 7) + 3x = 12 What is the first step in solving this equation for x?

Mathematics
2 answers:
yawa3891 [41]3 years ago
7 0
First step is expand by using distributive property
<span>2(x + 7) + 3x = 12 

step 1:
2x + 14 + 3x = 12</span>
ehidna [41]3 years ago
5 0
First step would be to expand it and make it 2x + 14 + 3x = 12

Second step would be to add 2x + 14 + 3x so it can be 5x + 14

Third step would be to subtract 14 from both sides

Fourth step would be to subtract 12 - 14 so it can be -2

Last step to get your answer would be to divide both sides by 5

Answer to this whole equation: x = -2/5.
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\frac{-2a^{-3}b^2}{a} \\ \\ =-\frac{2b^2}{a^4} \\ \\ =-\frac{2(3)^2}{(-2)^4} \\ \\ =-\frac{18}{16} \\ \\ =-\frac{9}{8}

6 0
1 year ago
A 5-meter ladder is leaning against the side of a house. The foot of the ladder is pulled away from the house at a rate of 0.4 m
Flura [38]
<h2>The top of the ladder is descending at 0.3 m/s.</h2>

Step-by-step explanation:

By Pythagoras theorem we know that

              Hypotenuse² = Base² + Perpendicular²

                   h² = b² + p²

We have for ladder

                        h = 5 m

                        b = 3 m

                        5² = 3² + p²

                        p = 4 m

                        \frac{db}{dt}=0.4m/s\\\\\frac{dh}{dt}=0

Differentiating h² = b² + p² with respect to time

                    2h\times \frac{dh}{dt}=2b\times \frac{db}{dt}+2p\times \frac{dp}{dt}\\\\5\times 0=3\times 0.4+4\times \frac{dp}{dt}\\\\\frac{dp}{dt}=-0.3m/s

The top of the ladder is descending at 0.3 m/s.

3 0
3 years ago
Two sides of a triangle measure 9 cm and 23 cm what could be the measurement of the third side of the triangle
Vladimir79 [104]
Pythagorean Theorem: a^2+b^2=c^2
(9)^2 + b^2 = (23)^2
81 + b^2 = 529
b^2 = 529 - 81
b^2 = 448
b^2 =
\sqrt{448}
b = 21.2
6 0
2 years ago
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