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3 years ago

What is the quadratic in vertex form that has an a value of 8 and a vertex of (5, 6)?

Mathematics

2 answers:

faltersainse [42]3 years ago

8 0

Answer:

y= 8(x-5)² + 6

Step-by-step explanation:

Parabolas have two equation forms, namely; the standard and vertex form.

In the vertex form, y = a(x - h)² + k, the variables h and k are the coordinates of the parabola's vertex.

In this case; a=8, h =5, and k=6

Therefore;

The vertex equation will be

y= 8(x-5)² + 6

Anuta_ua [19.1K]3 years ago

5 0

Answer:

Choice C is correct.

Step-by-step explanation:

We have to find the equation of quadratic equation in vertex form.

We have given a= 8 and vertex =(5,6)

The general form of vertex form of equation is :

y = a(x-c)²+d

Where (c,d) is the vertex of equation.

Putting the values on above equation we get,

y = 8 (x-5)² +6

y = 8 (x-5)² +6 is the quadratic equation in vertex form.

So, choice C is correct.

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How many solutions does this linear system have? y = y equals StartFraction 2 over 3 EndFraction x plus 2.x+ 2 6x – 4y = –10

Ira Lisetskai [31]

Answer:

The system has one solution

Step-by-step explanation:

we have the system of equations

$y=\frac{2}{3}x+2$ ----> equation A

$6x-4y=-10$ ----> equation B

Solve the system by substitution

substitute equation A in equation B

$6x-4(\frac{2}{3}x+2)=-10$

$6x-\frac{8}{3}x-8=-10$

Solve for x

Multiply by 3 both sides to remove the fraction

$18x-8x-24=-30$

Combine like terms

$10x=-30+24$

$10x=-6$

$x=-\frac{6}{10}$

Simplify

$x=-\frac{3}{5}$

<em>Find the value of y</em>

$y=\frac{2}{3}(-\frac{3}{5})+2$

$y=-\frac{6}{15}+2$

$y=\frac{24}{15}$

Simplify

$y=\frac{8}{5}$

The solution of the system is the point $(-\frac{3}{5},\frac{8}{5})$

therefore

The system has one solution

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3 years ago

choose the equation below that represents the line passing through the point (1,-4) with a slope of 1/2

Archy [21]

Well, we can use the form y = mx + b, where m equals the slope and x and y are the coordinate values:
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2 years ago

Translate the following statements into symbolic form using capital letters to representaffirmative English statement.

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Answer:

Step-by-step explanation:

There are two distinct statements but put together, it is:

- If Maria Cantwell (MC) promotes Alternative Energy (AE) and if Patty Murray (PM) supports Wilderness Areas (WA) then Dianne Feinstein (DF) advocating Gun Control (GC), implies that Susan Collins (SC) does so too.

For Susan Collins, she advocates gun control too.

So the symbolic or algebraic representation is:

(SC = DF): (MC ~ AE), (PM ~ WA)

(GC = GC): (MC ~ AE), (PM ~ WA)

Where ":" represents "such that" or "given that"

" ~ " represents "support or promotion of"

It can now be read thus;

Susan Collins has same or equal interest as Dianne Feinstein, given that Maria Cantwell promotes alternative energy and Patty Murray supports Wilderness Areas.

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