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3 years ago

What is the difference between -4=7 vs 5=5

Mathematics

1 answer:

KiRa [710]3 years ago

3 0

Answer:

{-4 = 7, 5 = 5} = {False, True}

Step-by-step explanation:

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Write an equation for a parabola with a focus of (1,-2) and a directrix of y=6

FinnZ [79.3K]

Answer:

y = - $\frac{1}{16}$ (x - 1)² + 2

Step-by-step explanation:

Any point (x, y) on the parabola is equidistant from the focus and the directrix.

Using the distance formula

$\sqrt{(x-1)^2+(y+2)^2^}$ = | y - 6 |

Square both sides

(x - 1)² + (y + 2)² = (y - 6)² ( expand the factors in y )

(x - 1)² + y² + 4y + 4 = y² - 12y + 36 ( subtract y² - 12y from both sides )

(x - 1)² + 16y + 4 = 36 ( subtract 4 from both sides )

(x - 1)² + 16y = 32 ← subtract (x - 1)² from both sides )

16y = - (x - 1)² + 32 ( divide all terms by 16 )

y = - $\frac{1}{16}$ (x - 1)² + 2

8 0

3 years ago

What is the approximate volume of the cone?

Vlad [161]

Volume=1/3π<span>×</span>r²×h^(Applies for any "right cone")^
Therefore your answer would be
A.1206 cm³

8 0

3 years ago

Read 2 more answers

Use 3 for at Volume of a Cylinder

pychu [463]

Step-by-step explanation:

464.5cm³

3 0

3 years ago

2 x + 5 = 4 x + 8 <br> Pls help

Elanso [62]

Answer:

x= -3/2

Step-by-step explanation:

3 0

3 years ago

Victoria's spends 5/9 of her money on a flan and two chicken pies each chicken pie cost 1/6 as much as the fly Victoria has $24

Fynjy0 [20]

Answer:

Amount spent by Victoria = $30.

Cost of 1 flan = $22.50

Step-by-step explanation:

Let x be total amount of money that Victoria had before purchasing the flan and chicken pies.

We have been given that Victoria's spends 5/9 of her money on a flan and two chicken pies and Victoria has $24 left. This means that 4/9 of total money is 24.

We can represent this information as:

$\frac{4}{9}x=24$

Let us solve for x.

$x=24*\frac{9}{4}$

$x=6*9=54$

Let us find 5/9 of 54 to figure out the amount spent by Victoria.

$\text{Amount spent by Victoria}=\frac{5}{9}*54$

$\text{Amount spent by Victoria}=5*6=30$

Therefore, Victoria spent an amount of $30.

Let C be cost of one chicken pie and F be cost of one flan.

We have been given that each chicken pie cost 1/6 as much as the flan. We can represent this information in an equation as:

$C=\frac{1}{6}F...(1)$

We are also told that Victoria's spends 5/9 of her money on a flan and two chicken pies.

We can represent this information as:

$2C+F=30...(2)$

Upon substituting C's value in equation (2) we will get,

$2*(\frac{1}{6}F)+F=30$

$(\frac{1}{3})F+F=30$

Now let us have a common denominator.

$(\frac{1}{3})F+\frac{3F}{3}=30$

$(\frac{1+3}{3})F=30$

$(\frac{4}{3})F=30$

$F=30*\frac{3}{4}$

$F=30*0.75$

$F=22.50$

Therefore, the cost of one flan is $22.50.

4 0

3 years ago

Read 2 more answers