y^2 − 20x − 6y − 51 = 0

Answers

Answer 1

answer:

Simplifying Y2 + -20X + -6y + -51 = 0

Reorder the terms: -51 + -20X + Y2 + -6y = 0

Solving -51 + -20X + Y2 + -6y = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '51' to each side of the equation. -51 + -20X + Y2 + 51 + -6y = 0 + 51

Reorder the terms: -51 + 51 + -20X + Y2 + -6y = 0 + 51 Combine like terms: -51 + 51 = 0 0 + -20X + Y2 + -6y = 0 + 51 -20X + Y2 + -6y = 0 + 51

Combine like terms: 0 + 51 = 51 -20X + Y2 + -6y = 51

Add '-1Y2' to each side of the equation. -20X + Y2 + -1Y2 + -6y = 51 + -1Y2

Combine like terms: Y2 + -1Y2 = 0 -20X + 0 + -6y = 51 + -1Y2 -20X + -6y = 51 + -1Y2 Add '6y' to each side of the equation. -20X + -6y + 6y = 51 + -1Y2 + 6y Combine like terms: -6y + 6y = 0 -20X + 0 = 51 + -1Y2 + 6y -20X = 51 + -1Y2 + 6y Divide each side by '-20'. X = -2.55 + 0.05Y2 + -0.3y Simplifying X = -2.55 + 0.05Y2 + -0.3y


Related Questions

Question 3 (1 point)

What is the Range of this set of data?

4 4 5 5 6 6
a 2
b 3
c 5
d 4

Answers

Max - min = range
6 - 4 = 2
The range is 2, which is option A

Write in slope-intercept form of the line through point P(6,-1) with slope 4

Answers

Answer:

y = 4x - 25

Step-by-step explanation:

y = 4x + b

-1 = 4(6) + b

-1 = 24 + b

-25 = b

What is the equation of this graphed line?



Enter your answer in slope-intercept form in the box.

Answers

y= 2x + 2

How:
- As you can see the line goes through the y axis at 2- so we can substitute the c in y=mx + c for 2
- To find the gradient use two points on the line and count across and up, I used (-4,-6) and (0,2) which was 2 across and 4 up: 4 divided by 2 is 2 giving us the gradient to substitute the 2 as m into y=mx+c

That gives us y=2x+ 2
Hopes this helped :)

I don't understand this if h(x) |1-7| 23-h(9)​

Answers

Answer:

The slope-intercept form is  

y

=

m

x

+

b

, where  

m

is the slope and  

b

is the y-intercept.

y

=

m

x

+

b

Find the values of  

m

and  

b

using the form  

y

=

m

x

+

b

.

m

=

0

b

=

9

The slope of the line is the value of  

m

, and the y-intercept is the value of  

b

.

Slope:  

0

y-intercept:  

9

Step-by-step explanation:

30-1 divided by 1/25

Answers

Answer:

725

Step-by-step explanation:

30 - 1 = 29

29 x (25/1) = 725

7

An amount of $12,000 is invested at a simple interest rate of 2.15% for 3 years. What is the total investment after 3 years?

Answers

7 An amount of $12,000 is invested at a simple interest rate of 2.15% for 3 years. What is the total investment after 3 years?

The total value of the investment after 3 years given the amount invested is $12,774.

What is the total value of the investment?

The total value of the investment is the sum of the amount invested and the interest earned.

The total value of the investment = amount invested + simple interest earned

$12,0000 + (principal x time x interest rate)

$12,000 + (12,000 x 0.0215 x 3) = $12,774

To learn more about interest, please check: https://brainly.com/question/26164549

(-9) - (-5)
Do I add them

Answers

Answer. yess ou add them

Step-by-step explanation:

Yes.

(-9)-(-5)=(-9)+5=-4

Hope it helps!

[tex]SparklingFlowers[/tex]

CAN SOMEBODY PLS HELP ME

Answers

Answer:

5

Step-by-step explanation:

The constant of proportionality k is calculated as

k = [tex]\frac{gallons}{time}[/tex]

Then

k = [tex]\frac{5}{1}[/tex] = [tex]\frac{10}{2}[/tex] = [tex]\frac{15}{3}[/tex] = [tex]\frac{35}{7}[/tex] = [tex]\frac{50}{10}[/tex] = 5

Answer:

the constant of proportionality in the table is 5.

Step-by-step explanation:

the answer is 5 because 1 x 5 = 5 ,2 x 5=10 , 3 x 5 = 15 , 7 x 5 = 35, and 10 x 5 = 50.

In the park, there are some cats and dogs. The number of cats’ feet is double the number of the dogs’ noses. The number of cats is how many times the number of dogs? Let x be the number of cats, and y be the number of dogs. Write the expression that will help you to solve the problem (expression here). The number of cats is what times the number of dogs.

Answers

Answer:

2y=x

Step-by-step explanation:

Normally, if there were the same amount of cats and dogs, the cats' feet would be quadruple the dogs' noses. But, the question states that it is double the dogs' noses. 2 x 2=4, so there are twice as many dogs as cats.

m∠1=12x-11°
m∠2=10x+17°

Answers

Answer:

Step-by-step explanation:

X=26

Cole is having his car repaired. The mechanic said it would cost at least $375 for parts
and labor. If the cost of the parts was $150, and the mechanic charges $60 an hour,
how many hours is the mechanic planning to work on the car?

Answers

Answer:3.75 hours

Step-by-step explanation:

If you take a varible, lets say x, and times that by your mom. You will get y^2. After that, take ur mom and divide that by ur dads ding dong. Now they don't give us the formula to find out how long, creamy and wet your dad's ding dong is so we use the formula, busty step sis + step bro = BIG DING DONG, to get (x^69)+12 as ur dads ding dong. Now add ur mom with ur dad, y^2+(x^69) to get a child, 6969699696.

Hope this helps :)

A passenger truck has a capacity of 40 people. If only 80% of their seats are occupied. How many passengers are in the truck?

Answers

Answer:

32

Step-by-step explanation:

80 x 40 = 3,200

3,200 / 100 = 32

Can someone please help? This is super hard.

Answers

Answer:

Step-by-step explanation:

20.00

Six less than x
I'm in 8th ​

Answers

Answer

I found this. Does this help?

Step-by-step explanation:

If this is an inequality (6 is less than x, or 6 < x), then x is an integer or other value greater than 6.

The variable statement "6 less than x" is (x - 6)

This is a value (variable and constant) where the value of x is determined by an equation

such as x-6 = 4 (x is positive 2) or y = x-6 (y is 6 less than x).

144=12x
45 =4x-27
2x-2=14
12x=44-10x does any one kno these questions?

Answers

Hello russell6333!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Solve for x.

144 = 12x 45 = 4x - 27 2x - 2 = 14 12x = 44 - 10x

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex]1) \: \: \: 144 = 12x \\ \frac{144}{12} = x \\ \boxed{ \boxed{ \bf12 = x}}[/tex]

__________________

[tex]2) \: \: \: 45 = 4x - 27 \\ 45 + 27 = 4x \\ 72 = 4x \\ \frac{72}{4} = x \\ \boxed{ \boxed { \bf18 = x }}[/tex]

__________________

[tex]3) \: \: \: 2x - 2 = 14 \\ 2x = 14 - 2 \\ 2x = 12 \\ x = \frac{12}{2} \\ \boxed{ \boxed{ \bf \: x = 6}}[/tex]

__________________

[tex]4) \: \: \: 12x = 44 - 10x \\ 12x + 10x = 44 \\ 22x = 44 \\ x = \frac{44}{22} \\ \boxed{\boxed{ \bf \: x = 2}}[/tex]

__________________

NOTE :-To solve questions of these sorts, bring all the terms to one side & simplify it leaving x alone in the other side of the equation (other side of the equal to sign). After simplification you'll get the value of x.Remember that the signs & operations will change when you bring a term to the other side of the equation.So, addition will become subtraction, subtraction will become addition, multiplication will become division & division will become multiplication.

__________________

Hope it'll help you!

ℓu¢αzz ッ

if line L is perpendicular to line m and the slope of line L is undefined, what is the slope of line m?


A.1

B.1/2

C.0

D.-1

Answers

Step-by-step explanation:

mL = Undefined

mM = ?

mL × mM = -1

mM = -1 ÷ mL

mM = -1/mL

mM = -1/Undefined

mM = -1/(1/0)

mM = (-1 × 0)/1

mM = 0

Slope of line m is 0

Option → C

find the volume to the nearest hundredth using 3.14(pi)

Answers

Answer:

5575.28 cm^3

Step-by-step explanation:

Formula for the Volume of a Sphere:

(4/3)πr^3

Radius (r) = 11 cm

Plug it in:

(11)^3(4/3)π = (1331)(4/3)π = (5324/3)π

Convert π into a number:

(5324/3)(3.14) = 5575.28

Laura drove 140 miles on 5 gallons of gasoline. At this rate, how many gallons of gasoline would she need

drive an additional 98 miles?

(A) 3.5 gallons

(B) 4 gallons

((c) 4.5 gallons

(D) 5 gallons

Answers

Answer: A is allways right but ill do the math

Step-by-step explanation:

Someone help me please!

Answers

Answer:

First one is y=(x+1)^2

a 10kg box putting pushed with a force of 24 Newtons and a fraction of 12N. Determine coefficient of Friction and Determine acceleration of the Box
PLEASE HELP​

Answers

Assuming the force is applied horizontally over a flat surface, the net horizontal force is

F (h) = 24 N - 12 N = (10 kg) a

Solve for the acceleration a :

12 N = (10 kg) a

a = 1.2 m/s²

Meanwhile, the net vertical force is zero since the box of only moving horizontally.

F (v) = n - (10 kg) g = 0

where n is the magnitude of the normal force exerted upward by the surface. We see that

n = (10 kg) (9.8 m/s²)

n = 98 N

The friction force has a magnitude that is proportional to the normal force,

12 N = μ (98 N)

where μ is the coefficient of kinetic friction. Solve for μ :

μ = (12 N)/(98 N)

μ ≈ 0.12

The current population of a small city is 38500 people. Due to a loss of jobs, the population is decreasing by an average of 150 people per year. How many years (from now) will it take for the population to decrease to 36400 people?

A) Write an equation you can use to answer this question. Be sure all the numbers given above appear in your equation. Use X as your variable and use no commas in your equation.

B) Solve your equation in part [A] for X

Answers

Answer: Equation form: y=mx+b m=slope b=y-intercept slope= -375 y-intercept= 29000 equation: population now, 0 years x = years from now y= -375x + 29000 375x=3000 x=8

Step-by-step explanation:

The area of the base of a rectangular prism is 24 square feet. If the height of the prism is 8 feet, what is the volume?

Answers

Answer:

5

Step-by-step explanation:

V=bh so the area is 24*8 which is 192 ft^3

given m||n, find the value of x. ??

Answers

Step-by-step explanation:

6x - 10 = 7x - 30

6x - 7x = -30 + 10

-x = -20

x = 20°

Value of x is 20°

Answer:

x = 20

Step-by-step explanation:

Given m||n meaning the lines are parallel: Two angles are alternate exterior angles and so their measure is same

7x - 30 = 6x - 10 export like terms to the same side of equation

7x - 6x = 30 - 10

x = 20

The perimeter of a square is 52cm.Calculate the area.

Answers

Answer:

52÷4=13 cm

the area: 13×13=169[tex]cm^{2}[/tex]

Step-by-step explanation:

Graph the line that passes through the points (2,−3) and (4,−3) and determine the equation of the line.

Answers

Answer:

Y = -3

Step-by-step explanation:

First lets use this equation to find the slope of the line:

Y2-Y1/X2-X1

Plug in our values:

(-3+3)/(4-2) = 0/2

The slope is undefined because it cannot be 0.

The Y values of the ordered pairs stay the same so we can see that the graph will stay on the Y value -3.

We would graph this line horizontally on Y = -3

i have to evaluate for both a and b. i dont know how to do that. helpp

Answers

Answer:

[tex]f(0)=4[/tex]

[tex]f(6)=8[/tex]

Step-by-step explanation:

Solution is attached

What is the measure of z?
4
16
Z
у
Х
Z=?

Answers

Answer:

4sqrt(5)

Step-by-step explanation:

Refer to photo for everything. Also, I didn’t do a lot of the algebraic steps on paper; try to do it yourself and see if you can get what I got. But, I did write out the process of finding the answer. I checked the answer with what was given and everything seems to work, but you should check yourself before using this answer just in case.

3
(
2
n

4 what is this = to

)
+
6
n

Answers

Answer:

Step-by-step explanation:

2 • (n2 + 2n + 2)

--------------------------

             N    

the points (11, 13) and (13, 13) fall on a particular line. What is it's equation in slope- intercept form?​

Answers

Answer:

y=13

Step-by-step explanation:

Because m=slope=

13 − 13/11 - 13 = 0

therefore we use y=13 because the y value is always the same, and the two point have the same y value.

Find the quadratic function represented by the following graph.​

Answers

Answer:

f(x) = (-3/4)x^2 + 3

Step-by-step explanation:

First, look at the vertex to see if it intersects the y-axis. It does, which is good, because it makes your job a lot easier by making your equation to fill out y = ax + b. Your b is the y value of your vertex, which in this case is 3. Then, your a is the amount you're multiplying plain old x^2 by to get your values (before adding 3). Because the graph is pointing down, you know right away that it's going to be negative. Also, going to the left or right by 2 (the points you are given) from the vertex gives you a result of going down 3. Normally this would mean you move up by 4 (again, from the vertex), so what do you need to multiply 4 by to get -3? -3/4, so that's your a. This makes your equation (y OR) f(x) = (-3/4)x^2 + 3

I hope I didn't make any mistakes reading your graph! I had a bit of difficulty with it unfortunately.

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