Y^2+4x-6x-6y+5=0convert to standard form, find the vertex, focus, and the equation of the directrix line

Answers

Answer 1

Answer:

I think it is : $x= (Y^2)/(2)-3y+ (5)/(2)$ .

But...not really sure

Answer 2

Answer: so first we group like terms
y^2+4x-6x-6y+5=0
y^2-6y-2x+5=0
so I suspect that you might have left out a x^2 but I'll try to solve it how it is

y^2-6y+5-2x=0
factor y^2-6y+5
what adds up to -6 and multiplies to get 5, -1 and -5
(y-5)(y-1)-2x=0
not sure how to procede but you could get it to this
(y-5)(y-1)=2x

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In triangle DEF m D=43 , m E=62, m EF=22. What is DE to the nearest tenth

Answers

The measure of DE of the triangle is given by law of sines and DE = 31.3

What is the law of sines?

The relationship between a triangle's sides and angles is provided by the Law of Sines. Trigonometry's law of sines can be expressed as a/sinA = b/sinB = c/sinC, where a, b, and c are the lengths of the triangle's sides, and A, B, and C are the triangle's respective opposite angles.

Law of Sines :

a / sin A = b / sin B = c / sin C

Given data ,

Let the triangle be represented as ΔDEF

Now , the measure of sides of the triangle are

The measure of EF = 22

The measure of angle ∠D = 43°

The measure of ∠E = 62°

And , the measure of ∠F = 180° - 43° - 62° = 75°

From the laws of sines , we get

a / sin A = b / sin B

On simplifying , we get

EF / sin 43° = ED / sin 62°

So , the measure of DE = ( 22 / 0.7 ) ( sin 75° )

And , the measure of DE = 31.3 units

Hence , the measure of DE of triangle is 31.3 units

To learn more about laws of sines click :

brainly.com/question/13098194

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DE = 31.3
Detailed solution is attached

A square has a perimeter of 64 inches What is the length of one side if the square?
What is the area of the square??

Answers

The length of each side is 32

The area is 256

The length is 16

The area is 256

Someone please help!

Answers

Hello!

Answer:

$\Large \boxed{\sf CD= 18}$

Step-by-step explanation:

→ We want to calculate CD.

We know that CD = DE.

→ So we have this equation:

$\sf 3x-6 = 2(x+1)$

→ Let's solve this equation to find the value of x to find CD:

◼ Simplify the right side:

$\sf 3x-6 = 2x+2$

◼ Add 6 to both sides:

$\sf 3x-6+6 = 2x+2+6$

◼ Simplify both sides:

$\sf 3x = 2x+8$

◼ Subtract 2x from both sides:

$\sf 3x-2x = 2x+8-2x$

◼ Simplify both sides:

$\sf x = 8$

→ Now, let's calculate CD, let's replace x by 8:

$\sf CD = 3x-6\n\n= 3 * 8 - 6\n\n= 24 - 6\n\n\boxed{\sf= 18}$

Check:

$\sf CD = DE\n\n3x-6 = 2(x+1)\n\n3 * 8 - 6 = 2(8+1)\n\n24 - 6 = 2 * 9\n\n18=18$

So the check is good.

Conclusion:

CD is equal to 18.

the band members sold 316 juice drinks for a fundraiser. they sold 52 more grape drinks than strawberry drinks. how many of each type of juice drink did they sell?

Answers

s+g=316 "s"=strawberry "g"=grape
g=52+s

plug in for "g" to find "s"
s+(52+s)=316
2s+52=316
2s=316-52
2s=264
s=264/2
s=132

find "g"
g=52+132
g=184

132 strawberry drinks and 284 grape drinks.

Rock music accounts for 64% of the record sales of True Tones Record Company. If next year's production is planned at 300,000 record's, how many of the CD's will be of rock music?