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Dafna1 [17]
3 years ago
11

C. 3x-7=2x-5 solve for x, simplify

Mathematics
2 answers:
Svet_ta [14]3 years ago
6 0

Answer:

<u><em>x=2</em></u>

Step-by-step explanation:

addition property of equality is adding the same number to both sides of an equation does not change the equation.

subtraction property of equality is subtracting the same number from both sides of an equation does not change the equation.

distributive property: a(b+c)=ab+ac

add 7 both sides of an equation.

3x-7+7=2x-5+7

simplify.

3x=2x+2

subtract 2x both sides of an equation.

3x-2x=2x+2-2x

simplify.

x=2

Hope this helps!

Thanks!

igomit [66]3 years ago
4 0

3x - 7 = 2x - 5<em>     add 7 to both sides</em>

3x = 2x + 2         <em>subtract 2x from borh sides</em>

<h3>x = 2</h3>

Check:

L = 3(2) - 7 = 6 - 7 = -1

R = 2(2) - 5 = 4 - 5 = -1

L = R  CORRECT! :)

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Answer:

Here: 2 7/18

Step-by-step explanation:

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Expressions that simplify to the same expression are called ____ expressions.
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They're called equivalent expressions
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A rocket travels in a trajectory given by the equation s = -4.9t 2 + v0t, where s is meters above ground, t is time in seconds a
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Step-by-step explanation:

s = -4.9t² + 49t

The vertex of the parabola is at t = -b/(2a).

t = -49 / (2 × -4.9)

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The rocket reaches its maximum height after 5 seconds.

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3 years ago
You are building a scale model of a fishing boat. The boat is 62 ft long and 23 ft wide. The
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The wide of the model should be approximately 5.194 inches

Step-by-step explanation:

You are building a scale model of a fishing boat

  • The boat is 62 ft long
  • The boat is 23 ft wide
  • The model will be 14 in long

We need to find how wide should it be

∵ The boat is 62 feet long

∵ The model of the boat is 14 inches long

- That means 14 inches represents 62 feet

By using the ratio method

→ Actual (ft)    :    Model (in)

→ 62               :    14

→ 23               :     x

By using cross multiplication

∵ 62 × x = 23 × 14

∴ 62 x = 322

- Divide both sides by 62 to find x

∴ x ≅ 5.194

∵ x represents the wide of the model

∴ The wide of the model is approximately 5.194 inches

The wide of the model should be approximately 5.194 inches

Learn more:

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Find a nonzero vector orthogonal to the plane through the points: ????=(0,0,1), ????=(−2,3,4), ????=(−2,2,0).
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Answer:

The nonzero vector orthogonal to the plane is <-9,-8,2>.

Step-by-step explanation:

Consider the given points are P=(0,0,1), Q=(−2,3,4), R=(−2,2,0).

\overrightarrow {PQ}==

\overrightarrow {PR}==

The nonzero vector orthogonal to the plane through the points P,Q, and R is

\overrightarrow n=\overrightarrow {PQ}\times \overrightarrow {PR}

\overrightarrow n=\det \begin{pmatrix}i&j&k\\ \:\:\:\:\:-2&3&3\\ \:\:\:\:\:-2&2&-1\end{pmatrix}

Expand along row 1.

\overrightarrow n=i\det \begin{pmatrix}3&3\\ 2&-1\end{pmatrix}-j\det \begin{pmatrix}-2&3\\ -2&-1\end{pmatrix}+k\det \begin{pmatrix}-2&3\\ -2&2\end{pmatrix}

\overrightarrow n=i(-9)-j(8)+k(2)

\overrightarrow n=-9i-8j+2k

\overrightarrow n=

Therefore, the nonzero vector orthogonal to the plane is <-9,-8,2>.

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