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2 years ago

PLEASE SOMEONE HELP ILL MARK BRAINLIEST AND 5 STARS 2.1/x+ 1 4/5= 3/10x

Mathematics

2 answers:

enot [183]2 years ago

8 0

Answer:

the answer is .3 or 3/10

Step-by-step explanation:

steposvetlana [31]2 years ago

7 0

9514 1404 393

Answer:

x = -1

Step-by-step explanation:

Putting the entire equation in decimal form, we have ...

2.1x + 1.8 = 0.3x

Subtracting 0.3x gives ...

1.8x +1.8 = 0

Dividing by 1.8, we get ...

x + 1 = 0

So, the solution is ...

x = -1 . . . . . . subtract 1 from both sides.

_____

<em>Additional comment</em>

Sometimes, when all of the numbers in the equation are divisible by the coefficient of x, it works out well to do that division before separating variables and constants. The other way this could have been solved is ...

subtract 1.8 ⇒ 1.8x = -1.8

divide by 1.8 ⇒ x = -1

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3 years ago

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A parabola can be drawn given a focus of

Volgvan

Answer:

$y=-\frac{1}{4}(x-2)^{2}+9$

Step-by-step explanation:

Any point on a given parabola is equidistant from focus and directrix.

Given:

Focus of the parabola is at $(2,8)$ .

Directrix of the parabola is $y=10$ .

Let $(x,y)$ be any point on the parabola. Then, from the definition of a parabola,

Distance of $(x,y)$ from focus = Distance of $(x,y)$ from directrix.

Therefore,

$\sqrt{(x-2)^{2}+(y-8)^{2}}=|y-10|$

Squaring both sides, we get

$(x-2)^{2}+(y-8)^{2}=(y-10)^{2}\\(x-2)^{2}=(y-10)^{2}-(y-8)^{2}\\(x-2)^{2}=(y-10+y-8)(y-10-(y-8))...............[\because a^{2}-b^{2}=(a+b)(a-b)]\\(x-2)^{2}=(2y-18)(y-10-y+8)\\(x-2)^{2}=2(y-9)(-2)\\(x-2)^{2}=-4(y-9)\\y-9=-\frac{1}{4}(x-2)^{2}\\y=-\frac{1}{4}(x-2)^{2}+9$