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fiasKO [112]
3 years ago
11

If 120% is £48, what is 100%

Mathematics
1 answer:
NeX [460]3 years ago
4 0

120% = 120/100 = 1.2

48/1.2 = 40

Answer: 40.

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Write the equation for a parabola with a focus at (6,-4) and a directrix at y= -7
shtirl [24]

Given:

The focus of the parabola is at (6,-4).

Directrix at y=-7.

To find:

The equation of the parabola.

Solution:

The general equation of a parabola is:

y=\dfrac{1}{4p}(x-h)^2+k                  ...(i)

Where, (h,k) is vertex, (h,k+p) is the focus and y=k-p is the directrix.

The focus of the parabola is at (6,-4).

(h,k+p)=(6,-4)

On comparing both sides, we get

h=6

k+p=-4                            ...(ii)

Directrix at y=-7. So,

k-p=-7                            ...(iii)

Adding (ii) and (iii), we get

2k=-11

k=\dfrac{-11}{2}

k=-5.5

Putting k=-5.5 in (ii), we get

-5.5+p=-4

p=-4+5.5

p=1.5

Putting h=6, k=-5.5,p=1.5 in (i), we get

y=\dfrac{1}{4(1.5)}(x-6)^2+(-5.5)

y=\dfrac{1}{6}(x-6)^2-5.5

Therefore, the equation of the parabola is y=\dfrac{1}{6}(x-6)^2-5.5.

4 0
3 years ago
What is the approximate distance between the points (-3,-4)(-8,1) on a coordinate grid?
Alex

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-8-(-3)]^2+[1-(-4)]^2}\implies d=\sqrt{(-8+3)^2+(1+4)^2} \\\\\\ d=\sqrt{25+25}\implies d=\sqrt{50}\implies d\approx 7.071

3 0
3 years ago
Rewrite in radical form. If the number is rational, write it without using radical<br> (81)^(−1/4).
vesna_86 [32]

Answer:

1/3

Step-by-step explanation:

simplify

81^(-1/4)

= 1/81^(1/4)

= 1/[3×3×3×3]^(1/4). (factorize 81)

= 1/[3]^(4/4)

= 1/3

6 0
3 years ago
Can sb please answer this
Fudgin [204]

Answer:

A

Step-by-step explanation:

A line of best fit needs to match the direction of the points and fit in-between the points as much as possible

C is not the right direction

D is not the right direction

B is to the left of the points

3 0
3 years ago
Read 2 more answers
(y-7)^2=2y^2-4y+73 solve for y
masya89 [10]

Answer:

y=-4 or y=-6

Step-by-step explanation:

y^2-14y+49=2y^2-4y+73

y^2+10y+24=0

(y+4)(y+6)=0

y=-4 or y=-6

7 0
3 years ago
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