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Mars2501 [29]
3 years ago
6

Solve for x in the equation x squared + 2 x + 1 = 17.

Mathematics
1 answer:
lbvjy [14]3 years ago
7 0

Answer:

Step-by-step explanation:

x^2 + 2x + 1 = 17

x^2 + 2x = 17 - 1

x^2 + 2x = 16

x^2 + 2x + 1 = 16 + 1

(x + 1)(x + 1) = 17

(x + 1)^2 = 17

x + 1 = sqrt 17

x = -1 (+ - ) sqrt 17

x = -1 + sqrt 17 or x = -1 - sqrt 17 <===

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A 20 foot ladder is resting against the side of the house the base of the latter is 4 feet away from the house approximately how
notka56 [123]

The ladder resting against the house forms a triangle similar to the one in the image below

To answer this question you must use Pythagorean theorem

a^{2} +b^{2}=c^{2}

a and b are the legs (the sides that form a perpendicular/right angle)

c is the hypotenuse (the side opposite the right angle)

In this case...

a = x

b = 4

c = 20

^^^Plug these numbers into the theorem

x^{2} +4^{2} =20^{2}

solve for x

x^{2} + 16 = 400

x^{2} = 384

x = 8√6

or

x ≈ 19.5959....

Hope this helped!

~Just a girl in love with Shawn Mendes

5 0
3 years ago
PLEASE HELP ME!!!!!!!
Airida [17]
<h3>Answer:</h3>

D. This is an experiment because it is applying a treatment

<h3>Step-by-step explanation:</h3>

Experiments and observational studies are both ways to find new information about a hypothesis but in different ways.

Vocabulary

First, to understand the question, let's define the key terms.

  • Experiment - An experiment is when a scientist purposely applies a treatment and interferes with a person's life in order to gather information.
  • Observational Study - This type of study attempts to study a person without interfering with their lives in any way.

These definitions eliminate the answer choices A and C because both of them match the incorrect definition of the term.

Experiment vs. Observational Study

Now, we need to figure out if this specific example is an experiment or an observational study. In this case, the nutritionist is giving a treatment of vitamins. This means that this cannot be an observational study because the scientist is interfering with people. It has to be an experiment because there is a specific treatment being applied.

5 0
2 years ago
a long year-end status report for work is 134 pages long. you need to print 13 copies for a meeting next week. How much is the p
NNADVOKAT [17]

one paper sheet = 500 / 305 cents

134 * 13 = 1742

500 / 305 = 1.64 cents

1.64 * 1742 = $28.55

3 0
2 years ago
Factor Completely: x^2-13x-48
salantis [7]

Answer:

Therefore,the required factors are ( x - 16 ) and ( x + 3 )is

Step-by-step explanation:

Given:

x^{2} -13x-48

To Factorize:

Solution:

First remove the factor of -48 such that you multiply the two number, the Product should be -48 and the SUM should be -13.

-48 = -16 × 3

Here, -16 and 3 are the two  required numbers

now the given expression we will split the middle term  and Factorize the given equation.

x^{2} -13x-48 =x^{2} -16x+3x-48\\\\\\\textrm{removing x common and 3 common we get}\\x^{2} -13x-48=x(x-16)+3(x-16)\\\\x^{2} -13x-48=(x-16)(x-3)

Therefore,the required factors are ( x - 16 ) and ( x + 3 )

4 0
3 years ago
Solve each system by substitution.<br>1) y = 7x - 10<br>y=-3​
djyliett [7]
-3=7x-10. -7x=3-10. X=1. You can check the answer by plugging in the numbers.
8 0
3 years ago
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