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3 years ago

Solve the equation. 2 + |t+ 6| = 12

Mathematics

2 answers:

Contact [7]3 years ago

8 0

Answer:

t = 4 or t = -16

Step-by-step explanation:

Let's solve your equation step-by-step.

2+|t+6|=12

|t+6|+2=12

Step 1: Add -2 to both sides.

|t+6|+2+−2=12+−2

|t+6|=10

Step 2: Solve Absolute Value.

|t+6|=10

We know eithert+6=10 or t+6=−10

t+6=10(Possibility 1)

t+6−6=10−6(Subtract 6 from both sides)

t=4

t+6=−10(Possibility 2)

t+6−6=−10−6(Subtract 6 from both sides)

t=−16

Yuri [45]3 years ago

5 0

T = 4 or -16 hope this helps

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Convert 60 miles per hour into meters per second

Svetllana [295]

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4 years ago

We are standing on the top of a 320 foot tall building and launch a small object upward. The object's vertical altitude, measure

STALIN [3.7K]

Answer:

The highest altitude that the object reaches is 576 feet.

Step-by-step explanation:

The maximum altitude reached by the object can be found by using the first and second derivatives of the given function. (First and Second Derivative Tests). Let be $h(t) = -16\cdot t^{2} + 128\cdot t + 320$ , the first and second derivatives are, respectively:

First Derivative

$h'(t) = -32\cdot t +128$

Second Derivative

$h''(t) = -32$

Then, the First and Second Derivative Test can be performed as follows. Let equalize the first derivative to zero and solve the resultant expression:

$-32\cdot t +128 = 0$

$t = \frac{128}{32}\,s$

$t = 4\,s$ (Critical value)

The second derivative of the second-order polynomial presented above is a constant function and a negative number, which means that critical values leads to an absolute maximum, that is, the highest altitude reached by the object. Then, let is evaluate the function at the critical value:

$h(4\,s) = -16\cdot (4\,s)^{2}+128\cdot (4\,s) +320$

$h(4\,s) = 576\,ft$

The highest altitude that the object reaches is 576 feet.

6 0

4 years ago

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Semmy [17]

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Step-by-step explanation:

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3 years ago

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koban [17]

Answer:

below

Step-by-step explanation:

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3 years ago

identify the type of sampling used (random, systematic, convenience, stratified, or cluster sampling) in the situation descri

sertanlavr [38]

Answer: Random sampling

Step-by-step explanation:

A random sampling technique is a method of sampling in which each member for the sample is chosen randomly from the population.
Systematic sampling : It is a kind of random sampling in which the members get selected after a fixed interval but a random starting point.
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4 years ago