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GuDViN [60]
3 years ago
5

2|3x – 5= 10 How do I solve

Mathematics
1 answer:
VLD [36.1K]3 years ago
3 0

Answer: 45/2

Step-by-step explanation:

Step 1: Add 5 to both sides.

2/3x−5+5=10+5

2/3x=15

Step 2: Multiply both sides by 3/2.

(3/2)*(2/3x)=(3/2)*(15)

x=45/2

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8.)What is the Measurement of angle 2?<br><br> 9.) What is the measure of angle 7?
EastWind [94]

Answer:

angle 2 = 90° {corresponding angles}

angle 7 + angle 5 = 180° {linear pair}

or, angle 7 + 100° = 180° {angle 5 is corresponding to 100°}

so, angle 7 = 80°

8 0
2 years ago
Work out the acceleration for the first 3 seconds?
Finger [1]

The acceleration is given by the slope of the line. This line passes through the points (0, 2) and (3, 5), so it has slope

\dfrac{5-2}{3-0}=1

which means the acceleration over this 3 second interval is 1 m/s^2.

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3 years ago
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Which graph is an example of a function whose parent function is y = StartRoot x EndRoot?On a coordinate plane, a curve starts a
lbvjy [14]

Answer:

  On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0)

Step-by-step explanation:

The attached graph is an example of the square root function scaled and translated.

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No transformation of the square root curve will turn it into a parabola or into two curves.

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3 years ago
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Help me quickly pls&lt;3
Kipish [7]

Answer:

A

Step-by-step explanation:

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5 0
3 years ago
Use the formula for the cosine of the difference of two angles to find the exact value of the following expression.
Zolol [24]

Answer:

Exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

Step-by-step explanation:

Given:

Cos(45° - 60°)

We have to apply the formula of cosine for difference of the two angles.

Formula:

cos(a-b)=cos(a)\ cos(b)+sin(a)\ sin(b)

Plugging the values.

⇒ cos(45-60)=cos(45)\ cos(60) + sin(45)\ sin(60)

We know that the values :

sin(45) =cos(45) = \frac{1}{\sqrt{2} }

sin(60)=\frac{\sqrt{3} }{2}  and  cos(60)=\frac{1}{2}

So,

⇒ cos(45-60)=(\frac{1}{\sqrt{2} } \times \frac{1}{2} ) + (\frac{1}{\sqrt{2} } \times \frac{\sqrt{3} }{2})

⇒ cos(45-60)=(\frac{1}{2\sqrt{2} }  + \frac{\sqrt{3} }{2\sqrt{2} })

⇒ cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )

⇒ cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )\times \frac{2\sqrt{2} }{2\sqrt{2} }  ...<em>rationalizing </em>

⇒ cos(45-60)=\frac{2\sqrt{2} +2\sqrt{6} }{ 8}

⇒ cos(45-60)=\frac{2(\sqrt{2}+\sqrt{6})}{8}       ...<em>taking 2 as a common factor</em>

<em>⇒ </em>cos(45-60)=\frac{(\sqrt{2}+\sqrt{6})}{4}

To find the exact values we have to put the values of sq-rt .

As<em>, </em>\sqrt{2}=1.41     and   \sqrt{6} =2.44

Then

<em>⇒ </em>cos(45-60)=\frac{( 1.41+2.44)}{4}<em />

<em>⇒ </em>cos(45-60)=\frac{( 3.85)}{4}<em />

⇒ cos(45-60)=0.96

So the exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

3 0
3 years ago
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