(1/4) to the -4 power

Given the function f(x) = 2|x + 6| -4, for what values of x is f(x) = 6?

photoshop1234 [79]

Answer:

f(x) = 2|x + 6|-4

6=2|x + 6|-4

10= 2|x + 6|

divide by 2

5=|x + 6|

x = 5-6

x = -1

so x should be -1

4 0

3 years ago

What is the measure of arc CD?

CaHeK987 [17]

Option C:

The measure of arc CD is 40°.

Solution:

Given data:

m∠X = 11° and m(arc AB) = 18°

To find the measure of arc CD:

We know that,

<em>Angle formed by two intersecting secants outside the circle is equal to half of the difference between the intercepted arcs.</em>

$$m \angle X =\frac{1}{2}({arc \ CD}-{arc} \ AB)$

$$ 11^\circ =\frac{1}{2}({arc} \ CD-{18^\circ})$

Multiply by 2 on both sides.

22° = arc CD - 18°

Add 18° from both sides.

40° = arc CD

Switch the sides.

arc CD = 40°

Hence the measure of arc CD is 40°.

Option B is the correct answer.

7 0

2 years ago

Two blocks are initially at rest with a compressed spring between them. When the spring is released, the 2m block moves to the l

choli [55]

The statement that best describes the blocks after the spring is released is the total momentum is zero.

<h3 /><h3>Law of conservation of momentum</h3>

From the law of conservation of momentum, the initial momentum of the system, M equals the final momentum of the system M'

M = M'

<h3>Momentum of blocks</h3>

Now, since both blocks are initially at rest, the initial momentum M = 0.

Since the initial momentum equals the final momentum after the blocks are released,

M = M' = 0

So, the total momentum after the blocks are released is zero.

So, the statement that best describes the blocks after the spring is released is the total momentum is zero.

Learn more about total momentum here:

brainly.com/question/25121535

7 0

2 years ago

Write each number as a logarithm with base 2:-3

expeople1 [14]

The number -3 written as a logarithm with a base of 2 is log₂(0.125) or log₂(1/8)

<h3>What are logarithms?</h3>

As a general rule, logarithms are mathematical expressions that are written in the form log(x) or ln(x), for natural logarithms

<h3>How to rewrite the number as a logarithm?</h3>

The number is given as:

x = -3

The base of the logarithm is given as:

Base = 2

To rewrite the given number as a base of 2, we take the exponent of the number where the base is 2

This is represented as:

Number =2^-3

Apply the power rule of indices

Number =1/2^3

Evaluate the exponent

Number = 1/8

Evaluate the quotient

Number = 0.125

Hence, when the number -3 is rewritten as a logarithm with base 2, the equivalent logarithm expression is log₂(0.125) or log₂(1/8)