All categories

2 years ago

14 What are the solutions to the equation 3(x − 4)² = 27?

Mathematics

1 answer:

Marat540 [252]2 years ago

4 0

Answer:

(1) 1 and 7

Step-by-step explanation:

Hello!

We can solve by isolating the variable.

<h3>Solve</h3>

3(x - 4)² = 27
(x - 4)² = 9
√(x - 4)² = √9
(x - 4) = ± 3
x = 4 ± 3

There are two solutions, 1 and 7.

The answer is option 1: x = 7, x = 1.

You might be interested in

Here is a map of a town.

gtnhenbr [62]

Answer:

The distance between park and museum is 12km.

Step-by-step explanation:

Given that the map shows 1cm represents 3km. In this question, the distance between park and museum is 4cm so in order to find the real-life distance, you have to multiply by 4 :

$1cm = 3km$

$4cm = 3km \times 4$

$4cm = 12km$

7 0

3 years ago

In the diagram, GB = 2x + 3..

True [87]

Answer:

<h2>10 units</h2>

Step-by-step explanation:

It's important to know that the centroid is always two-thirds of the median. Which means

$AG=\frac{2}{3}FA\\ x+9=\frac{2}{3}(5x+x+9)\\ x+9=\frac{2}{3}(6x+9) \\x+9=4x+6\\9-6=4x-x\\3x=3\\x=1$

Which means $AG=x+9=1+9=10$ .

But, the centroid has always the same distance from each vertex, which means

$AG=BG=10$

Therefore, BG is 10 units long.

5 0

3 years ago

Read 2 more answers

Select the two values of x that are roots of this equation. 3x - 5 = -2x2<br>

densk [106]

Answer:

C and A are the answer

Step-by-step explanation:

step by step

3 0

3 years ago

What is 4h - 3 factored

nikdorinn [45]

Answer:

this is factorable with rational numbers

Step-by-step explanation:

i am in algebra two so you can trust my answer

8 0

3 years ago

Please help me with this

Anika [276]

Answer:

Just search from other websites

Step-by-step explanation:

easy

4 0

2 years ago