Write the equation in vertex form for the parabola that will satisfy the given

Determine which numbers the equations need to be multiplied by to form opposite terms of the y-variable. 3x - 1 4 y = 15 2 3 x -

sesenic [268]

In the elimination method, one variable is eliminated from the system of equations to find the value of the other.

To create the opposite terms of the x-variable-

The first equation be multiplied by the number 4.

Second equation be multiplied by the number -6.

<h3>What is the elimination method?</h3>

To solve the system of equations and find the value of the variables, the elimination method is used.

In this method, one variable is eliminated from the system of equations to find the value of the other.

Given information-

The system of the equation given in the problem is,

$\rm 3x-\dfrac{1}{4}y=15$

The second equation given in the problem is;

$\rm \dfrac{2}{3}x-\dfrac{1}{6}y=6$

To eliminate the x term, make the coefficient of x of both equations equal.

It can be done by multiplying the coefficient of x term of the first equation to the second equation and the coefficient of x term of the second equation to the first equation.

The first equation is multiplied by;

$\rm 4\times 3x-4\times \dfrac{1}{4}y=15\times 4\\\\12x-y=50$

The second equation is multiplied by;

$\rm -6 \times \dfrac{2}{3}x- -6 \times\dfrac{1}{6}y= -6 \times6\\\\-4x-y=-36\\\\4x+y=36$

Hence, to create the opposite terms of the x-variable-

The first equation is multiplied by the number 4.

The second equation is multiplied by the number -6.

Learn more about the elimination method here;

brainly.com/question/7013345

6 0

2 years ago

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10 POINTS!! Made myself broke with my last two questions!

Svet_ta [14]

Answer:

D

Step-by-step explanation:

The radius r is the distance from the centre to a point on the circle.

Calculate r using the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 5, - 12)

r = $\sqrt{(-5-0)^2+(-12-0)^2}$

= $\sqrt{(-5)^2+(-12)^2}$

= $\sqrt{25+144}$

= $\sqrt{169}$

= 13 → D

4 0

3 years ago

N n N n N n N n N n n N N Suppose that you were to draw a random sample of one letter from the set of letters above. Two possibl

kvv77 [185]

Answer:

10/13 = 76.92%

Step-by-step explanation:

The question is missing some information because the underline is missing.

If we make table based on if the letter upper case (A) or lower case(a), and if the letter underlined(B) vs not underlined(b) the data will be:

A a

B 4 3 7

b 3 3 6

total 7 6

There are total of 13 letter there. The calculation will be:

P(A or B) = P(A) + P (B) - P(A and B) = (7 + 7 -4) / 13= 10/13 = 76.92%

4 0

3 years ago

A game field is 360 feet long. The practice field is 2/5 shorter than the practice field. How long is the game field?feet

vlabodo [156]

Answer:

The practice field is 144 feet long.

Step-by-step explanation:

360 x 2/5 = 144

(You would multiply these numbers NOT divide!)

To check my math:

2/5 = 0.4

144/360 = 0.4

By doing the above check, I know the two equations are the same. By seeing this I can know that the answer is correct.

4 0

3 years ago

Solve for a: За - 5(а - 2) = 34

Ksju [112]

Answer:

a= -12

Step-by-step explanation:

because

3 0

2 years ago

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