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3 years ago

Solve the quadratic equation by completing the square. =+x^2+16x +61=0

1 answer:

3 0

X^2 + 16x + 61 = 0
x^2 + 16x = -61
x^2 + 16x + 64 = -61 + 64
(x + 8)^2 = 3
x + 8 = (+-) sqrt 3
x = -8 (+-) sqrt 3

x = -8 + sqrt 3...and x = -8 - sqrt 3 <== ur solutions

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Please i need it for now PLSSSS

bearhunter [10]

The measure of the other side of a quadrilateral is $3\sqrt{13}$ cm.

In the given quadrilateral one side is unknown we need to find the unknown side.

By dividing the given quadrilateral into a rectangle and a triangle we can find the other side.

<h3>What is Pythagoras theorem?</h3>

The Pythagoras theorem states that if a triangle is right-angled, then the square of the hypotenuse is equal to the sum of the squares of the other two sides. That is, $c^{2}=a^{2}+b^{2}$ .

Now, $x^{2} =9^{2}+6^{2}=81+36=17$

⇒ $x=\sqrt{13 \times 9} =3\sqrt{13}$

Therefore, the measure of the other side of a quadrilateral is $3\sqrt{13}$ cm.

To learn more about Pythagoras' theorem visit:

brainly.com/question/343682.

#SPJ1

4 0

2 years ago

Write the equation in standard form. Identity the center and radius.<br> x² + y2 + 8x-4y-7=0

lorasvet [3.4K]

Answer:

equation;

$(x + 4) {}^{2} + (y - 2) {}^{2} = 27$

Center (-4,2)

Radius is

$3 \sqrt{3}$

Step-by-step explanation:

Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of

$(x - h) {}^{2} + (y - k) {}^{2} = {r}^{2}$

Where (h,k) is center

r is the radius

So first we group like Terms together

${x}^{2} + 8x + {y}^{2} - 4y - 7 = 0$

Add 7 to both sides

${x}^{2} + 8x + {y}^{2} - 4y = 7$

$( {x}^{2} + 8x) +( {y}^{2} - 4y) = 7$

Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem

$(\frac{8}{2} ) {}^{2} = 16$

and

$( - \frac{4}{2} ) {}^{2} = 4$

so we have

${x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 7 + 16 + 4$

${x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 27$

$(x + 4) {}^{2} + (y - 2) {}^{2} = 27$

To find our center, h is -4 and k is 2

so the center is (-4,2)

The radius is

$\sqrt{27} = 3 \sqrt{3}$

So the radius is 3 times sqr root of 3.

8 0

2 years ago

68/80 as a fraction,percent,and decimal

madam [21]

68/80 is a fraction
34/40
17/20 is simplest form of fraction

percent means parts out of 100 so x/100
20 times 5=100 so
17/20 time 5/5=x/100=85/100 or 85%

decimal is normally a power of 10 so
85/100=0.85

8 0

3 years ago

Find the volume of the cone.

Alona [7]

answer:

2,558

step-by-step explanation:

the formula for the volume of a cone is v=πr²h/3

with that let us 'fill in' the formula-

v=π*9.6²*26.5/3

v=2,557.51

then since you've asked us to round the answer to the nearest whole number that would be 2,558

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

5 0

3 years ago

A small fruit basket contains the fruit shown. A large basket has the same ratio of fruits as the small basket. If the large bas

yarga [219]

Answer: i don’t know

Step-by-step explanation: my brain hurts from trying to figure this out sorry

5 0

3 years ago