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2 years ago

Solve the following equation by completing the square 2x^2+6x+1=0

Mathematics

1 answer:

dangina [55]2 years ago

5 0

Answer:

10x+1=0

Step-by-step explanation:

square the 2x then add the similar base units

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I need help finding the circumference of this circle

Alla [95]

Radius times 2 = diameter which would be 10 times 3.14 is 31.4 so it’s 31.4

6 0

3 years ago

If one zero of the following polynomial 8x^2-13x-4k is the reciprocal of the other, then find k

Lana71 [14]

Answer:

Step-by-step explanation:

hello :

if x1 and x2 this zero for ax²+bx+c you have : x1 = 1 /x2 means :x1 × x2 =1

but : x1 × x2 = c /a

in this exercice : a =8 and b = -13 and c = - 4k

so : c/a =-4k/8

so : -4k/8 = 1

-4k = 8 k = 8/-4 k = -2

this polynomial is : 8x²-13x +8

6 0

2 years ago

A parabola can be drawn given a focus of (-5, -4)(−5,−4) and a directrix of y=-6y=−6. Write the equation of the parabola in any

lord [1]

Answer:

$\displaystyle \large{y=\dfrac{x^2}{4} + \dfrac{5x}{2} + \dfrac{5}{4}}$

Step-by-step explanation:

Given:

Focus = (-5,-4)
Directrix = -6

To find:

Parabola Equation

Locus of Parabola (Upward/Downward)

$\displaystyle \large{\sqrt{(x-a)^2+(y-b)^2} = |y-c|}$

Where:

(a,b) = focus
c = directrix

Hence:

$\displaystyle \large{\sqrt{(x+5)^2+(y+4)^2}=|y+6|}$

Cancel square root by squaring both sides as we get:

$\displaystyle \large{(x+5)^2+(y+4)^2=(y+6)^2}$

Solve for y-term:

$\displaystyle \large{(x+5)^2=(y+6)^2-(y+4)^2}\\\displaystyle \large{x^2+10x+25=y^2+12y+36-y^2-8y-16}\\\displaystyle \large{x^2+10x+25=4y+20}\\\displaystyle \large{x^2+10x+5=4y}\\\displaystyle \large{y=\dfrac{x^2}{4} + \dfrac{5x}{2} + \dfrac{5}{4}}$

4 0

2 years ago

Claire says that she can draw an obtuse equilateral triangle. Is she correct? Explain.

notka56 [123]

No, because an equilateral triangle is also equiangular so all sides must be 60° (60+60+60=180) and an obtuse angle is more than 90° so the triangle would not be equilateral.

Hope I Helped (:

7 0

3 years ago

Read 2 more answers

A beautician sees clients each day to paint full sets of nails. The function g(x) represents the number of finger nails painted,

lions [1.4K]

Yes, the input and output are both possible.

Reason~

Given that the possible solution is (20,20),

Input = x = 20

Output = x = 20

Thus, g(20) = 20, which is clearly possible.

Hope this helps :)