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Anna [14]
3 years ago
13

If 3^2x+1= 3x+5, what is the value of x? 2 3 4 6

Mathematics
1 answer:
REY [17]3 years ago
4 0

Answer:

x = 4

Step-by-step explanation:

Set the exponents equal to each other

3^{2x+1}=3^{x+5}

2x + 1 = x + 5

Subtract x from both sides

x + 1 = 5

Subtract one from both sides

x = 4

So, the value of x is equal to 4.

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Read 2 more answers
In triangle JKL, sin(b°) = three fifths and cos(b°) = four fifths. If triangle JKL is dilated by a scale factor of 2, what is ta
scoundrel [369]

Answer:

Tan(b°) = 3/4 = three fourths (C)

Step-by-step explanation:

Triangle JKL is a right angled triangle in which angle K is a right angle and angle L= b°

We would apply SOHCAHTOA from trigonometry to determine the value for each sides.

For ∆JKL

Sin(b°) = opposite/hypotenuse

Sin(b°) = 3/5

Cos(b°) = adjacent/hypotenuse

Cos(b°) = 4/5

Tan(b°) = 3/4

From the above we know the value of each sides of ∆JKL

Find attached the diagram of the above triangle (1)

∆JKL is dilated by a scale factor = 2

Meaning we would multiply each sides of ∆JKL by 2. The values of the new triangle become:

Opposite = 2(3) = 6

Adjacent = 2(4) = 8

Hypotenuse = 2(5) = 10

To find tan(b°) of the new triangle, we would apply tangent ratio

Tan(b°) = opposite/adjacent

Tan(b°) = 6/8

Tan(b°) = 3/4

Find attached the diagram for the new triangle (2)

Diagram 3 shows the drawing of both triangles together.

From the above, we can see the angle doesn't change when a shape is dilated by a scale factor.

Therefore, tan(b°) = three fourths (C)

6 0
3 years ago
What’s the equation.
cestrela7 [59]

Answer:

c=42

s=30

Step-by-step explanation:

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2 years ago
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