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3 years ago

Solve for x in the equation x2+2x+1=17

2 answers:

8 0

Simplifying
x2 + 2x + 1 = 17
Reorder the terms
1 + 2x + x2 = 17
Solving
1 + 2x + x2 = 17
Solving for variable 'x'.
Reorder the terms:
1 + -17 + 2x + x2 = 17 + -17
Combine like terms:
1 + -17 = -16 -16 + 2x + x2 = 17 + -17 C
ombine like terms:
17 + -17 = 0 -16 + 2x + x2 = 0
Begin completing the square.
Move the constant term to the right:
Add '16' to each side of the equation
. -16 + 2x + 16 + x2 = 0 + 16
Reorder the terms:
-16 + 16 + 2x + x2 = 0 + 16
Combine like terms:
-16 + 16 = 0 0 + 2x + x2 = 0 + 16 2x + x2 = 0 + 16
Combine like terms:
0 + 16 = 16 2x + x2 = 16
The x term is 2x. Take half its coefficient (1).
Square it (1) and add it to both sides. Add '1' to each side of the equation.
2x + 1 + x2 = 16 + 1
Reorder the terms:
1 + 2x + x2 = 16 + 1
Combine like terms:
16 + 1 = 17 1 + 2x + x2 = 17
Factor a perfect square on the left side:
(x + 1)(x + 1) = 17
Calculate the square root of the right side:
4.123105626
Break this problem into two subproblems by setting
(x + 1) equal to 4.123105626 and -4.123105626. x + 1 = 4.123105626
Simplifying
x + 1 = 4.123105626
Reorder the terms:
1 + x = 4.123105626
Solving
1 + x = 4.123105626
Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation.
1 + -1 + x = 4.123105626 + -1
Combine like terms:
1 + -1 = 0 0 + x = 4.123105626 + -1 x = 4.123105626 + -1
Combine like terms:
4.123105626 + -1 = 3.123105626 x = 3.123105626
Simplifying
x = 3.123105626
x + 1 = -4.123105626
Simplifying
x + 1 = -4.123105626
Reorder the terms:
1 + x = -4.123105626
Solving
1 + x = -4.123105626
Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation.
1 + -1 + x = -4.123105626 + -1
Combine like terms:
1 + -1 = 0 0 + x = -4.123105626 + -1 x = -4.123105626 + -1
Combine like terms:
-4.123105626 + -1 = -5.123105626 x = -5.123105626
Simplifying x = -5.123105626
x = {3.123105626, -5.123105626}

Sphinxa [80]3 years ago

7 0

If you meant 2x + 2x + 1 = 17: x = 4
Solve for x by simplifying both sides of the equation, then isolating the variable.

If you meant x2 + 2x + 1 = 17: x ≈ 3.1231056,−5.1231056x
Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula. x = −1 ± √17x

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3 years ago

A boat is heading towards a lighthouse, where Luis is watching from a vertical distance of 107 feet above the water. Luis measur

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Using the slope concept, it is found that the distance from point A to point B is of 465 feet.

<h3>What is a slope?</h3>

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

To find the horizontal position at point A, we have that:

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2 years ago

Choose the equation of the horizontal line that passes through the part point (1,-5)

vladimir2022 [97]

We know is a horizontal line, so, if it passes through 1,-5, it also passes through "whatever", -5, like 20, -5 or 1000000, -5, or -100000000, -5 and so on.

so, let's pick another point say -7, -5, check the picture below, and let's check about the equation that runs through it,

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 1 &,& -5~) 
% (c,d)
&&(~ -7 &,& -5~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-5-(-5)}{-7-1}
\\\\\\
\cfrac{-5+5}{-7-1}\implies \cfrac{0}{-8}\implies 0
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-5)=0(x-1)
\\\\\\
y+5=0\implies y=-5$

4 0

3 years ago

Read 2 more answers

PLEASE HELP ME PRE CAL/TRIG

miss Akunina [59]

Answer:

A) 60 Degrees

B) 550 Feet

C) 2.5 minutes

Step-by-step explanation:

a) So the wheel has completed one revolution in 10 minutes so lets first divide 100 secs with 10 minutes to calculate the the fraction of revolution

1 min = 60 secs

10 min = 600 secs

100/600 = 1/6

One complete revolution is 360 degrees and 1/6 of 360 degrees will be 60 degrees .

360/6 = 60°

b) It takes 10 minutes to complete one revolution so if the person is on it for 7 minutes it would be 7/10 of a revolution . The ferris wheel has a diameter of 250 feet so the radius will be 125 feet because it is the half of the diameter and the circumference will be 250 π . To calculate the distance lets multiple the fraction of the revolution which is 7/10 into the circumference $\frac{7}{10} * (250 pi)$ = 550 Feet.

C)It took 10 minutes to travel 250 π now we will use this relation to calculate 200 feet . lets suppose t is for time .

$\frac{250pi}{10} =\frac{200}{t}$ .

After solving this equation as there is only one unknown which is "t "the answer will be 2.5 minutes.

3 0

3 years ago

Winston deposited $3,294 in a bank account with an annual interest rate of 2.6%. How much interest was earned in 5

ale4655 [162]

Answer:

FV= $3,725.07

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $3,294

Number of periods (n)= 5 years

Interest rate (i)= 2.6% = 0.026

To calculate the future value (FV), we need to use the following formula:

FV= PV*(1+i)^n

FV= 3,294*(1.026^5)

FV= $3,725.07

3 0

3 years ago