Which number line represents the solutions to |x - 2|= 6?

Mathematics

1 answer:

Alexeev081 [22]3 years ago

4 0

Answer:8 and -4

Step-by-step explanation:

[x-2]=6 ,x-2 =6 ,x=8 and x-2=-6 ,x=-4

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Priya is stacking building blocks to make a tower. She takes a break when the tower is 2 and 1/2 feet tall, which is 5/8 of the

tensa zangetsu [6.8K]

Answer:

4 feet.

Step-by-step explanation:

Let x be the height of tower when finished.

We have been given that Priya takes a break when the tower is 2 and 1/2 feet tall, which is 5/8 of the height of the tower she wants to build.

This means that 5/8 of x equals $2\frac{1}{2}$ . Let us represent this information in an equation.

$\frac{5}{8}*x=2\frac{1}{2}$

Let us convert our given mixed fraction into improper fraction.

$\frac{5}{8}*x=\frac{5}{2}$

Let us multiply both sides of our equation by 8/5.

$\frac{8}{5}\times \frac{5}{8}*x=\frac{5}{2}\times \frac{8}{5}$

$x=\frac{8}{2}$

$x=4$

Therefore, the tower will be 4 feet tall when finished.

5 0

3 years ago

Please help me and explain.

Paha777 [63]

Answer:

Step-by-step explanation:

In the set [-5, 3], only A fits in. B is pi, which has a value of 3.1415....which is outside of the interval since it's greater than 3. C. is -6 which is less than -5, so that's outside of the interval as well. D is the square root of 36 which is 6...outside of the interval again. A it is. A could be rewritten as

$-\frac{1}{2^2} =-\frac{1}{4}$