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Damm [24]
3 years ago
5

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

Mathematics
1 answer:
Dominik [7]3 years ago
5 0

Answer:

Two solutions x=-5.12 and x=3.12

Step-by-step explanation:

x^2+2x+1=17

Subtract 17

so x^2+2x-16

Then solve using the quadratic formula

so x=\frac{-2+or-\sqrt{2^2-4*1*(-16)}}{2*1}

solve x=\frac{-2+or-\sqrt{4+64} }{2}

Separate the equations into two x= equations of + or -

x=\frac{-2+2\sqrt{17} }{2}

and x= \frac{-2-2\sqrt{17} }{2}

x=-5.12

x=3.12



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Lostsunrise [7]

The equation is asking you to multiply.

= 4 * -7

= -28

Hope This Helped! Good Luck!

6 0
3 years ago
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Circumference of a circle given the radius or diameter? explain why or why not
jek_recluse [69]

Answer: The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center. The Circumference is the distance once around the circle.

The formula for calculating the radius is different from calculating the diameter

Find radius

r= diameter/ 2

Radius is half of a diameter

While diameter is

d=2r

Step-by-step explanation:

6 0
3 years ago
Jessica just put 14.41 gallons of fuel into her car. There were 3.6 gallons in the car to begin with. How much fuel is in jessic
SIZIF [17.4K]

Answer:

18.01 gallons

Step-by-step explanation:

14.41

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8 0
3 years ago
Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x
Solnce55 [7]

Answer:

The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is \mathbf{y=-\frac{2}{3}x+3 }

Step-by-step explanation:

We need to Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x

The equation in slope-intercept form is: y=mx+b where m is slope and b is y-intercept.

Finding Slope:

The both equations given are parallel. So, they have same slope.

Slope of given equation y= - 2/3x is m = -2/3

This equation is in slope-intercept form, comparing with general equation  y=mx+b where m is slope , we get the value of m= -2/3

So, slope of required line is: m = -2/3

Finding y-intercept

Using slope m = -2/3 and point (-3,5) we can find y-intercept

y=mx+b\\5=-\frac{2}{3}(-3)+b\\5=2+b\\ b=5-2\\b=3

So, we get b = 3

Now, the equation of required line:

having slope m = -2/3 and y-intercept b =3

y=mx+b\\y=-\frac{2}{3}x+3

The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is \mathbf{y=-\frac{2}{3}x+3 }

5 0
3 years ago
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Suppose you have a right triangle with side lengths 26, 24, and 10. Which lengths
solong [7]

Answer:

hypotenuse —>26

Legs —> 10 and 24

Step-by-step explanation:

Generally ,the hypotenuse is the longest side .

So in our triangle the hypotenuse is of length 26.

Consequently, the legs are of lengths 24 and 10.

Also ,we can verify that this is right triangle using the Pythagorean theorem:

26^2 = 676

24^2+10^2 = 676

Then

26² = 24²+10².

3 0
2 years ago
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