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3 years ago

Solve 2^16x=16^2x for x

1 answer:

7 0

2^(16x)=16^(2x)

16=2⁴

2^(16x)=(2⁴)^(2x)
2^(16x)=2^(4*2x)
2^(16x)=2^(8x)

Therefore:
if a^n=a^m ⇒n=m

16x=8x
16x-8x=0
8x=0
x=0/8=0

Answer: x=0

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Evaluate this expression what is b=-6 and c=7.c-7b

VLD [36.1K]

Answer:

Step-by-step explanation:

substitute b = - 6 and c = 7 into the expression and evaluate

c - 7b = 7 - (7 × - 6) = 7 - (- 42) = 7 + 42 = 49

7 0

3 years ago

Find the solution of the square root of the quantity of x plus 2 plus 4 equals 6, and determine if it is an extraneous solution.

morpeh [17]

minus 4 both sides

square both sides

x+2=4
minus 2
x=2

the answer is
x = 2; not extraneous

4 0

3 years ago

Read 2 more answers

JL = 28, KL= 5x + 6, and JK = 3x + 6,

Alexeev081 [22]

Answer:

KL = 16

Step-by-step explanation:

For this problem, JL is the sum of KL and JK. So we can say this:

JK + KL = JL

( 3x + 6 ) + ( 5x + 6 ) = 28

8x + 12 = 28

8x = 16

x = 2

So, now we can find KL:

5x + 6 = ?

5(2) + 6 = ?

10 + 6 = ?

16 = ?

So the length of KL is 16.

Cheers.

7 0

3 years ago

A scale drawing of a square has a side length of 6 millimeters. The drawing has a scale of 1 mm : 7 km. Find the actual perimete

zvonat [6]

Answer:

The real perimeter is:

$P= 24 mm *\frac{7 km}{1mm}= 168 km$

And the area would be:

$P = 36mm^2 *\frac{(7km)^2}{(1mm)^2} = 1764 km^2$

Step-by-step explanation:

For this case we know one side of a square given 6mm.

We can begin calculating the perimeter for the scale figure with this formula:

$P = 4x = 4*6 mm =24 mm$

The area for this case is given by:

$A = x^2 = 6mm^2 = 36 mm^2$

And we know that the drawing has a scale of 1 mm : 7 km and if we convert the perimeter to km we got:

$P= 24 mm *\frac{7 km}{1mm}= 168 km$

And the area would be:

$P = 36mm^2 *\frac{(7km)^2}{(1mm)^2} = 1764 km^2$

6 0

3 years ago

Mrs. Jordan participates in a math contest. She completes each question in 1/2

marysya [2.9K]

it takes mrs. jordan 24 minutes to complete 12 questions.

if she completes each question in 1/2 a minute, then:

1/2 / 12 questions = 24 minutes.

5 0

3 years ago