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alina1380 [7]
3 years ago
6

Factor the expression completely. 6×3- 4×2 – 16x A. 0 B. 2x(3×2 – 2x – 8) C. 2x(3x + 4)(x – 2) D. 4x(2x + 1)(x – 4) E. 2x(2×2 +

7x – 4) ill give brainleist
Mathematics
1 answer:
11111nata11111 [884]3 years ago
7 0

2x(3×2 – 2x – 8)

6 \times 3 - 4 \times 2 - 16x

6(3 - 4 \times 2 - 16x)

2x(3 \times 2 - 2x - 8)

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What is the equation of the quadratic graph with a focus of (1 ,3) and a directrix of y=1?
zimovet [89]
Check the picture below.

now, we know the directrix is at y = 1, and the focus point is at 1,3, well, notice the picture, the distance between those fellows is just 2 units.

the vertex is half-way between those fellows, therefore, the vertex will be at 1,2.

the distance "p", from the vertex to either the directrix or focus, is really just 1 unit.  Since the focus point is above the directrix, is a vertical parabola, and it opens upwards, like in the picture, and since it opens up, the "p" value is positive, or +1.

\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
4p(x- h)=(y- k)^2
\\\\
\boxed{4p(y- k)=(x- h)^2}
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ( h, k)\\\\
 p=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-------------------------------\\\\
\begin{cases}
h=1\\
k=2\\
p=1
\end{cases}\implies 4(1)(y-2)=(x-1)^2\implies 4(y-2)=(x-1)^2
\\\\\\
y-2=\cfrac{1}{4}(x-1)^2\implies y=\cfrac{1}{4}(x-1)^2+2

4 0
3 years ago
Please answer this correctly
Ymorist [56]

B; 25.65+13.23+6.35=45.23

To do this mentally just add the 2 decimals places together first (1.23). Then just add the whole numbers (44). Then add the 2 numbers together, 44+1.23=45.23

8 0
3 years ago
Plz help I’m getting timed
Fed [463]

id say its a rhombus. all the other shapes can have right angles

6 0
3 years ago
Read 2 more answers
Write a linear equation given a slope of 6 and a y-intercept of 1/2
Alex777 [14]

it literally gave you the equation lol

y= 6x + 1/2

7 0
3 years ago
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Write a function rule for the following arithmetic sequence and use it to find the 224th term. Show your work.
zavuch27 [327]

Answer:

671  is the 224th term of the given series

Step-by-step explanation:

The given sequence is

2,5,8,11....

First term that is 2

common difference that is 3

we have to find 224th term

That is n =224

using a_n=a+(n-1)d

a_{224}=2+(224-1)3

On solving the above equation we get

a_{224}=671

Hence, 224th term of the given series is 671


5 0
3 years ago
Read 2 more answers
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