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3 years ago

7×3.8show me the work you did to get the answer

1 answer:

3 0

5
7
X3.8
26.6
So you multiply 7x8 and you get 56 then you put the 6 down and carry the 5 and then you multiply the 3x7 and you get 21 but you add the 5+21 and get 26 then you put the decimal after one number because that is how it is in 3.8

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Match the steps to find the equation of the parabola with focus (-1, 2) and directrix x = 5.

Archy [21]

Answer:

The matched options to the given problem is below:

Step1: Choose a point on the parabola

Step2: Find the distance from the focus to the point on the parabola.

Step3: Use (x, y).

Find the distance from the point on the parabola to the directrix.

Step4: Set the distance from focus to the point equal to the distance from directrix to the point.

Step5: Square both sides and simplify.

Step6: Write the equation of the parabola.

Step by step Explanation:

Given that the focus (-1,2) and directrix x=5

To find the equation of the parabola:

By using focus directrix property of parabola

Let S be a point and d be line

focus (-1,2) and directrix x=5 respectively

If P is any point on the parabola then p is equidistants from S and d

Focus S=(-1,2), d:x-5=0

Step1: Let P(x,y) be any point on parabola

Step2: Therefore the $d=\sqrt{(x+1)^2+(y-2)^2}\hfill (1)$

Step3: The perpendicular distance from p to d is

$\frac{|x-5|}{\sqrt{(-1)^2+2^2}}$

$=\frac{|x-5|}{\sqrt{5}}\hfill (2)$

Step4: equating (1) and (2)

$\sqrt{(x+1)^2+(y-2)^2}=\frac{|x-5|}{\sqrt{5}}$

Step5: squaring on both sides

$(x+1)^2+(y-2)^2=\frac{|x-5|^2}{5}$

$5[(x+1)^2+(y-2)^2]=(x-5)^2$

$5[x^2+2x+1+y^2-2y+4-x^2+10x-25]=0$

$12x+y^2-2y-24=0$

Step6: Equation of the parabola is

$y^2-2y+12x-24=0$

8 0

3 years ago

How do I solve <br>y=sin1/2(x+pi/4)

dexar [7]

Answer:

x = 2 csc(1) y - π/4

Step-by-step explanation:

Solve for x:

y = 1/2 sin(1) (x + π/4)

y = 1/2 (x + π/4) sin(1) is equivalent to 1/2 (x + π/4) sin(1) = y:

1/2 sin(1) (x + π/4) = y

Divide both sides by sin(1)/2:

x + π/4 = 2 csc(1) y

Subtract π/4 from both sides:

Answer: x = 2 csc(1) y - π/4

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3 years ago

What is 3/4 of 4/5=

r-ruslan [8.4K]

Answer:

answer: 15/16 Hope this helps!

4 0

2 years ago

What is the answer to q divided by 1/3= 1 1/2

katrin2010 [14]

The answer is q = 3/6.

7 0

3 years ago

Read 2 more answers

2) Which statement is correct?

prohojiy [21]

Answer = a

Explanation- A cube is a 3D figure and each face would be a square since it is a cube. Since each side is a square all the sides are the same Width, Length, and height. Therefor you would be multiplying whatever number your have by itself 3 times because the formula would be Length x Width x Height

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3 years ago