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algol13
3 years ago
8

15 When you have two or more linear equations is called a____ of equations

Mathematics
1 answer:
tatuchka [14]3 years ago
7 0

Answer:

Step-by-step explanation:

It is called a system of equations.

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Write the equation of the conic section below.
tangare [24]

Answer:

(x-3)^2=8(y+1)

Step-by-step explanation:

Standard form of a parabola with a vertical axis of symmetry:

(x-h)^2=4p(y-k) \quad \textsf{where}\:p\neq 0

\textsf{Vertex}=(h, k)

\textsf{Focus}=(h,k+p)

\textsf{Directrix}:y=(k-p)

\textsf{Axis of symmetry}:h=k

If p > 0, the parabola opens upwards, and if p < 0, the parabola opens downwards.

From inspection of the graph:

  • Vertex = (3, -1)
  • Directrix = y = -3

Therefore:

  • h = 3
  • k = -1
  • k - p = -3

Use the Directrix equation to find p

⇒ y = (k - p)

⇒ -3 = -1 - p

⇒ p = 2

Therefore the equation of the conic section is:

\implies (x-3)^2=4\cdot 2(y-(-1))

\implies (x-3)^2=8(y+1)

Rearranging in standard form ax^2+bx+c:

\implies (x-3)^2=8y+8

\implies x^2-6x+9-8=8y

\implies x^2-6x+1=8y

\implies y=\dfrac{1}{8}x^2-\dfrac{3}{4}x+\dfrac{1}{8}

7 0
3 years ago
Is 0.12 a rational number
Ray Of Light [21]
Yes .12 is a rational number
6 0
3 years ago
Read 2 more answers
A company wants to determine the level of interest among its employees for an annual summer picnic. The company wants to survey
Alja [10]

Answer: Use employee identification numbers to randomly select 200 employees

Step-by-step explanation:

Random sampling refers to a sampling technique whereby each sample has an equal chance of being selected. It is an unbiased representation of the entire population and this is vital in drawing conclusion.

From the options given, the best way to randomly choose these 200 employees will be to use employee identification numbers to randomly select 200 employees.

7 0
3 years ago
78 Solve for x, with variables on both sides of equation. (Note: x is the same thing as 1x) You must show your work!
Feliz [49]
9x= x+4

Subtract x on both sides to balance the equation. 

8x= 4

Divide 8 into both sides. (the inverse of multiplication) 

x= 1/2

We can check this by plugging in x.

9(.5)= .5+4

4.5= 4.5

I hope this helps!
~kaikers
4 0
4 years ago
Graph x+y=3 , ILL MARK BRAINLIST
Olenka [21]
The answer is d when you graph
6 0
3 years ago
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