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3 years ago

(8^(3x+1))÷(2^x) please help me find the quotient asap!

Mathematics

2 answers:

Brilliant_brown [7]3 years ago

5 0

Answer:

2^9x+3

Step-by-step explanation:Evaluate for x=2

(83)(2)+1(22)

<u>hope this helps!! :) , alexis</u>

larisa86 [58]3 years ago

4 0

Answer:

2^9x+3

Step-by-step explanation:

im not sure if this is correct i used photomath but idk if it understands the problem. you could try it on your actual paper with the writing correct instead of you hand typing the problem but i highly reccomend the app.

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Martin is dilating a blue triangle to create a yellow triangle. If he used a scale factor of

kipiarov [429]

Answer:

See Explanation

Step-by-step explanation:

The question has missing details, as the scale factor is not given. However, I will give a general explanation on how to calculate the area and perimeter of a dilated shape (triangle).

The following assumptions, apply:

(1) Scale factor of 1/2 from the blue to the yellow triangle.

(2) The dimension of the blue triangle are:

$Base = x$

$Sides= y\ and\ z$

$Height= h$

First, calculate the dimensions of the yellow triangle.

The dimension will be the product of the scale factor and the dimensions of the blue triangle.

So, we have:

$Base = \frac{1}{2} * x = \frac{1}{2}x$

$Sides = \frac{1}{2}y\ and\ \frac{1}{2}z$

$Height = \frac{1}{2}h$

The perimeter of the blue triangle is:

$P_1 =Base + Sides$

$P_1 = x + y + z$

The perimeter of the yellow triangle is:

$P_2 =Base + Sides$

$P_2 = \frac{1}{2}x + \frac{1}{2}y + \frac{1}{2}z$

Factorize

$P_2 = \frac{1}{2}[x + y + z]$

Recall that: $P_1 = x + y + z$

So:

$P_2 = \frac{1}{2}*P_1$

<em>This implies that the perimeter of the yellow triangle is a product of the scale factor and the perimeter of the blue triangle.</em>

The area of the blue triangle is:

$A_1 = \frac{1}{2}* Base * Height$

$A_1 = \frac{1}{2} * x* h$

$A_1 = \frac{1}{2} xh$

The area of the yellow triangle is:

$A_2 = \frac{1}{2} * Base * Height$

$A_2 = \frac{1}{2}* (\frac{1}{2}x) * (\frac{1}{2}h)$

Rewrite as:

$A_2 = \frac{1}{2}* \frac{1}{2} [\frac{1}{2}x h]$

$A_2 = (\frac{1}{2})^2 *[\frac{1}{2}x h]$

Recall that: $A_1 = \frac{1}{2} xh$

So:

$A_2 = (\frac{1}{2})^2 *A_1$

<em>This implies that the area of the yellow triangle is a product of the square of the scale factor and the area of the blue triangle.</em>

4 0

3 years ago

Solve the proportion 9/x = 18/5

svetoff [14.1K]

Answer:

22.5

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

Age of car = 4 years. Original cost = $13,850. The current market value is $

Helen [10]

Using an exponential function, supposing that the value decays 10% a year, it is found that the current market value is $9,087.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

$A(t) = A(0)(1 - r)^t$

In which:

A(0) is the initial value.

r is the decay rate, as a decimal.

In this problem, supposing a decay of 10% a year, and the original value of $13,850, the parameters are A(0) = 13850, r = 0.1.

Hence, the value of the car in 4 years is given by:

$A(t) = A(0)(1 - r)^t$

$A(4) = 13850(0.9)^4$

A(4) = 9087.

More can be learned about exponential functions at brainly.com/question/25537936

6 0

2 years ago

What is the value of x in this triangle?

Sedaia [141]

Since it's a right triangle, we can use SOH-CAH-TOA. So tan(x) = opposite/adjacent = 5/20
tan(x) = 1/4 = 0.25
x = arc-tan (0.25) = 14.04°

8 0

3 years ago

Can any one help me on this really lost on this one please help

Evgesh-ka [11]

Might be wrong but I might be right so the answer is there is no solution

7 0

3 years ago

Read 2 more answers