r + 4s = -8
3r + 2s = 6

Answer:

The standard form of the equation for the conic section represented by [tex]x^2\:+\:10x\:+\:6y\:=\:47[/tex] is:

[tex]4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2[/tex]

Step-by-step explanation:

We know that:

[tex]4p\left(y-k\right)=\left(x-h\right)^2[/tex] is the standard equation for an up-down facing Parabola with vertex at (h, k), and focal length |p|.

Given the equation

[tex]x^2\:+\:10x\:+\:6y\:=\:47[/tex]

Rewriting the equation in the standard form

[tex]4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2[/tex]

Thus,

The vertex (h, k) = (-5, 12)

Please also check the attached graph.

Therefore, the standard form of the equation for the conic section represented by [tex]x^2\:+\:10x\:+\:6y\:=\:47[/tex] is:

[tex]4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2[/tex]

where

vertex (h, k) = (-5, 12)

$180

Step-by-step explanation:

30 x 6 = 180

Answer:

180 it is basic multiplication

Step-by-step explanation:

Answer:

Scientific Notation: 4.88 ×10^7

Standard Form: 4.88 ×10^7

Step-by-step explanation:

6.1×10^(-3) = 0.0061

8×10^9 = 8000000000

0.0061×8000000000 = 48800000

[tex] = 4.88 \times {10}^{7} [/tex]

Answer:

11/13

Step-by-step explanation:

3/13, 5/13, 7/13, 9/13, 11/13

3/13

3/13 + 2/13 = 5/13

5/13 + 2/13 = 7/13

7/13 + 2/13 = 9/13

9/13 + 2/13 = 11/13

Answer:1 is the remainder hope it helps

Answer:

This is pretty easy the dividend is 34,465 and the divisor is 6 and whatever the answer is will be the quotient

Step-by-step explanation:

hope this helps :>

Answer:

m+9

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Because its addition

Answer:

I'm pretty sure it's B). Additive identity Property.

Step-by-step explanation:

If it isn't let me know.

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that Brock divided all of his games into 3 shelves, and there were at least 12 games on each shelf.

The inequality that matches this scenario will be:

x ≥ 12.

Since there were at least 12 games, we would use the greater than or equal to sign.

Answer:

the second option, a=3 b=3 c=5

Step-by-step explanation:

first I would change them both into an improper fraction:

9/2 divided by 5/4

dividing is the same thing as mulitiplying by the reciprocal of the second number. so you would mulitply 9/2 x 4/5 = 36/10 and then you simplify back to a mixed number 3 6/10, 6/10 can be reduced so the final answer is 3 3/5.

Answr :

I hope my answer is correct

m<Jmk = m<HML. m<HJL=m<KHJ

m<JKH=m<JHL m<LHK=m<JLH

m<HLK = m<HJK. m<JLK= m< HJL

Answer:

Well, you would need to graph both, and you can see they intersect at the point (12,15)

Answer:

B, E

Step-by-step explanation:

Answer:

25 and 80

Step-by-step explanation:

180 - 75 = 105

105 / (5+16) = 5

multiply each side of the ratio 5:16 by 5

5x5 : 16x5 = 25:80

Answer:

Length = 18 meters

Step-by-step explanation:

Let the length of the rectangular pool = l meters

And breadth of the pool = w meters

Perimeter of the rectangular pool = 2(l + 2w)

Since, perimeter of the rectangular pool is 72 meters.

2(l + 2w) = 72

l + 2w = 36 --------(1)

If length of the pool is twice of its breadth,

l = 2w

w = [tex]\frac{l}{2}[/tex] -------(2)

By substituting the value of 'w' from equation (2) to equation (1),

[tex]l+2\times{\frac{l}{2}}=36[/tex]

2l = 36

l = 18 meters

Answer:

There are three possible outcomes for a system of linear equations: one unique solution, infinitely many solutions, and no solution.

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

1. No Solutions

This case arises when the equations are inconsistent. No values of the variables can satisfy all of the equations. An example is ...

__

2. Finite Number of Solutions

The number of distinct solutions depends on the degree of the system and the domain being considered. For example, an n-th degree polynomial equation in one variable will always have n solutions in the domain of complex numbers. However, it may or may not have any real-number solutions. (The question here has no context, so we have to assume it is about any system of equations of any degree or nature (rational, polynomial, exponential, mixed, or other.))

__

3. Infinite solutions

An under-specified system, such as a system of 3 equations in 4 variables, may have an infinite number of solutions. In such a system, one or more of the variables may be allowed to assume any value. Systems that have dependent equations will fall into this category.

Answer:

-2x-10

Step-by-step explanation:

Distributive Property is basically a term for opening parentheses. So, in your case -2(x+5) we would multiply x and 5 by -2. X times -2 is -2x and 5 times negative 2 is -10. -2x-10 would be your final answer.

[tex]\huge\bold{ANSWER:}[/tex]

-2x-10

[tex]\bf{EXPLANATION:[/tex]

Hi there!

Here's what the Distributive Property states:

a(b+c)=ab+ac

So, we take a number outside the parentheses, and "distribute" it.

In this case, we should distribute -2:

-2(x+5)

-2x-10 (a negative times a negative is a positive)

Hope it helps!

Enjoy your day!

Feel free to ask if you have any doubts! :)

[tex]\mathfrak{SilentNature~a.k.a.Sparkles}[/tex]

Answer:

Write the phrase as an expression. Then evaluate the expression when y=20 . the quotient of 40 and the difference of a number y and 16 Expression: When y=20, the value of the expression is

Answer:

Step-by-step explanation:

answer no 3:

1] Factor out the common term 2.

2(3x+y) = -26

2] Divide both sides by 2.

3x+y= -26/2

3x+y = − 13

3]Subtract y from both sides.

3x = - 13-y

4] Divide both sides by 3.

x = -13-y/3

Part 2:-

Add 6y to both sides.

x=21+6y

x=21+6y

​  

Answer:

145 + 19t

Step-by-step explanation:

Answer:

The fourth one

Step-by-step explanation:

Just cause its right

Answer:

301.59 yards

Step-by-step explanation:

Answer:

Step-by-step explanation:

at 9:00AM starts snowing, 84/6=14

9:00 AM..........................0 inches

10:00AM..........................6inches

11:00AM...........................12 inches

12:00PM...........................18 inches

.......................................................

11:00PM..............................84 inches

Answer:

The box would be 14

Step-by-step explanation:

It would be 14 because 7/14 is equal to 1/2. And 2/4 is also equal to 1/2.

Answer:

7/14

Step-by-step explanation:

Have a nice day.....

Answer:

x = 4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

4(x+2)=6x

distribute 4:

4x+8=6x

Subtract 4x from each side:

8=2x

Divide both sides by 2:

x=4

Answer:

4/15 is your answer my friend

Step-by-step explanation:

Answer:

when the equation says of, all you need to do is multiply the two numbers, so the answer is 4/15

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