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3 years ago

Y=3(x+2)^2-3 in standard form

Mathematics

1 answer:

Temka [501]3 years ago

8 0

Y= x2 - 12x + 15 Y=3(x+2)^2-3 in standard form

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Derive the equation of the parabola with a focus at (6, 2) and a directrix of y = 1

geniusboy [140]

Answer:

Step-by-step explanation:

eq. of directrix is y-1=0

let (x,y) be any point the parabola.

then\sqrt{ (x-6)^2+(y-2)^2}=\frac{y-1}{(-1)*2}

squaring

x²-12x+36+y²-4y+4=y²-2y+1

x²-12 x+40-1=4y-2y

2y=x²-12x+39=x²-12x+36+3

(x-6)²=2y-3

5 0

3 years ago

describe the mathematical order of operations. if you use an acronym for your description, make sure you define what each letter

MrMuchimi

PEMDAS

Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

3 0

4 years ago

Read 2 more answers

A van starts off 191 miles directly north from the city of Morristown. It travels due east at a speed of 25 miles per hour. Afte

coldgirl [10]

Answer:

Distance between the van and Morristown is changing at the rate of 13.22 miles per hour.

Step-by-step explanation:

From the figure attached,

Van starts from C (City of Morristown), reaches the point A 191 miles due North and then it travels with a speed of 25 miles per hour due East from A towards B.

We have to calculate the rate of change of distance BC, when the van reaches point B which is 119 miles away from A.

By Pythagoras theorem in the triangle ABC,

$BC^{2}=AB^{2}+AC^{2}$

Distance AC is constant equal to 191 mi.

By differentiating the equation with respect to time 't'

$2BC.\frac{d(BC)}{dt}=0+2AB.\frac{d(AB)}{dt}$

$BC.\frac{d(BC)}{dt}=AB.\frac{d(AB)}{dt}$

Since BC² = (119)²+ (191)²

BC = √50642 = 225.04 miles

From the differential equation,

$(225.03).\frac{d(BC)}{dt}=119\times 25$ [Since $\frac{d(AB)}{dt}=25$ miles per hour]

$\frac{d(BC)}{dt}=13.22$ miles per hour

Therefore, distance between the van and Morristown is changing at the rate of 13.22 miles per hour.

4 0

4 years ago

The measure of two supplementary angles, ls and lt, are in the ratio of 7:3. find the value of mls.

ioda

The value of measure of ls is 126 degrees.

It is given in the question that the measure of two supplementary angles, ls and lt, are in the ratio of 7:3.

We have to find the value of measure of ls.

Let the measure of two supplementary angles ls and lt be 7x and 3x respectively.

We know that, the sum of measure of two supplementary angles is 180 degrees.

Hence, according to the data given in the question, we can write,

7x + 3x = 180 degrees

10x = 180

x = 180/10

x = 18 degrees

Hence,

mls = 7x = 7*18 = 126 degrees.

To learn more about supplementary angles, here:-

brainly.com/question/13045673

#SPJ4

4 0

2 years ago

Pedro bought four packs of pencils for $19.96 how much did each pack cost

denpristay [2]

Each pack would cost $4.99

6 0

3 years ago