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3 years ago

What is a proportion for 15% of 82

Mathematics

1 answer:

Ksju [112]3 years ago

6 0

12.60 you take .15 times 82

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Solve each equation by factoring,<br>x² - 2x - 15 = 0

valina [46]

Answer:

x=−3 or x=5

Step-by-step explanation:

x2−2x−15=0

Step 1: Factor left side of equation.

(x+3)(x−5)=0

Step 2: Set factors equal to 0.

x+3=0 or x−5=0

x=−3 or x=5

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There was a 6 square foot piece of wrapping paper for a birthday present

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where's the rest of question so I can help?

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A loan is borrowed for $1200 for 2 years at a compound interest of 6%. Interest is compounded annually. What is the compound amo

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A parabola has a focus of F(2, -0.5) and a directrix of y=-1.5 P(x,y) represents any point on the parabola, while D(x, -1.5) rep

prohojiy [21]

The sketch of the parabola is attached below

We have the focus $(a,b) = (2, -0.5)$
The point $P(x,y)$
The directrix, c at $y=-1.5$

The steps to find the equation of the parabola are as follows

Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates; $(2, -0.5)$ and $(x,y)$ .
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$

Step 2
Find the distance between the point P to the directrix $c$ . It is a vertical distance between y and c, expressed as $y-c$

Step 3
The equation of parabola is then given as
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$ = $y-c$
$(x-a)^{2}+ (y-b)^{2}= (y-c)^{2}$ ⇒ substituting a, b and c
$(x-2)^{2}+ (y--0.5)^{2} = (y--1.5)^{2}$
$(x-2)^{2}+ (y+0.5)^{2}= (y+1.5)^{2}$ ⇒Rearranging and making $y$ the subject gives

$y= \frac{ x^{2} }{2} -2x+1$

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3 years ago

Four frogs jumped a total of 185 centimeters how far did each frog jump

Svet_ta [14]

The answer is 46.25cm

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2 years ago

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