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Iteru [2.4K]
3 years ago
5

5765865876+5737555586=

Mathematics
1 answer:
Stells [14]3 years ago
5 0

Answer:

5765865876+5737555586=11503421462

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Solve the quadratic equation by completing the square. 6x2 + 4x - 5 = 0
Nikitich [7]

Answer:

$x_{1}=-\frac{2+\sqrt{34}}{6}$

$x_{2}=-\frac{2-\sqrt{34}}{6}$

Step-by-step explanation:

Quadratic Equation given:

6x^2 + 4x - 5 = 0

Start dividing both sides by 6.

$\frac{6}{6} x^2 +\frac{4}{6} x - \frac{5}{6}  = \frac{0}{6} $

$x^2 +\frac{2}{3} x - \frac{5}{6}  = 0 $

$x^2 +\frac{2}{3} x = \frac{5}{6} $

Once, $\left( \frac{2}{3} \cdot \frac{1}{2} \right)^2=\frac{1}{9} $

$x^2 +\frac{2}{3} x+\frac{1}{9}  = \frac{5}{6}+\frac{1}{9}  $

$\left(x+\frac{1}{3} \right)^2 = \frac{17}{18}}  $

$x+\frac{1}{3}  =\pm\sqrt{\frac{17}{18}} }   $

Solving $\sqrt{\frac{17}{18}} $

$\sqrt{\frac{17(18)}{18(18)}}= \sqrt{\frac{306}{324}}=\frac{3\sqrt{34} }{18} =\frac{\sqrt{34} }{6} $

Then,

$x+\frac{1}{3}  =\pm\frac{\sqrt{34} }{6}  $

$x =-\frac{1}{3} \pm\frac{\sqrt{34} }{6}  $

$x_{1}=-\frac{2+\sqrt{34}}{6}$

$x_{2}=-\frac{2-\sqrt{34}}{6}$

6 0
3 years ago
Can somebody please help...I don’t understand it would mean a lot ❤️
ohaa [14]

Answer:

y=0.5x+8

Step-by-step explanation:

Use the formula for the equation of a line y=mx+c where m is the slope and c is a number.

To find the slope, take two points (x₁,y₁) (x₂,y₂) and put them into the slope equation m=(y₂-y₁)/(x₂-x₁):

We can take two points from the graph: (2,9) (4,10)

m=(y₂-y₁)/(x₂-x₁)

m=(10-9)/(4-2)

m=1/2 or 0.5

Now sub this value in for m and our formula looks like this:

y=0.5x+c

To find the value of c, sub in one of the points, eg. (4,10)

y=0.5x+c

10=0.5(4)+c

10=2+c

c=8

So now that we now m and c, our equation is complete :D

y=0.5x+8

4 0
3 years ago
Read 2 more answers
Nineteen students were invited to michelle's party. Three more boys than girls were invited. How many boys were invited?
bekas [8.4K]
11 boys and 8 girls because you divide it in half the add 2 and subtract 1. That isn't the wy you are supposed to do it but it works and makes since in my head.
7 0
4 years ago
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What is the volume of a cone with a height of 9.5 inches and a radius of 8 inches? Cone V = 1 3 Bh 1. Rewrite the formula for th
Nesterboy [21]

Answer:

636.4 in³  

Step-by-step explanation:

Volume of a cone is given by:

V = \frac{1}{3}\pi r^2 h

where r is the radius of the base of the cone and h is its height.

It is given that, the radius of the base of the cone is, r = 8 in

The height of the cone is, h = 9.5

\Rightarrow V = \frac{1}{3} \times 3.14 \times (8)^2 (9.5) = 636.4 in^3

Thus, the volume of the cone is 636.4 in³  

6 0
4 years ago
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Which shows the expressions in the order they would appear on a number line from least to greatest? (5 points)
strojnjashka [21]
I hope you get your answer next time
7 0
3 years ago
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