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zubka84 [21]
2 years ago
9

Use Completing the Square to convert from Standard Form to Vertex Form y=x2 – 8x + 14

Mathematics
1 answer:
Leno4ka [110]2 years ago
8 0

Answer:

(x - 4)^2 - 2

Step-by-step explanation:

Step 1: Make sure the coefficient of x^2 is 1

1 [x^2 - 8x + 14]

Step 2: Express the coefficient 8x as (8x multiplied by 1/2) the express the answer as two half's positive and negative squared

1 [x^2 - 8x + (-4)^2 - (-4)^2 + 14]

Step 3: Separate the function into two parts from the negative of the coefficient of 8x (4) solve the part then factorise the other part

1 [ ( x - 4 )^2 - 2 ]

Step 4: Distribute the factor (1)

(x + 4)^2 - 2

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Doss [256]

Answer :Plotting the points into the coordinate plane gives us an observation that this quadrilateral with vertices d(0,0), i(5,5) n(8,4) g(7,1) is a KITE, as shown in figure a.

Step-by-step explanation:

Considering the quadrilateral with vertices

d(0,0)

i(5,5)

n(8,4)

g(7,1)

Plotting the points into the coordinate plane gives us an observation that this quadrilateral with vertices d(0,0), i(5,5) n(8,4) g(7,1) is a KITE, as shown in figure a.

From the figure a, it is clear that the quadrilateral has

Two pairs of sides

Each pair having two equal-length sides which are adjacent

The angles being equal where the two pairs meet

Diagonals as shown in dashed lines cross at right angles,  and one of the diagonals does bisect the other - cuts equally in half

Please check the attached figure a.

4 0
3 years ago
Hello, could anyone help me on part A and part B
solniwko [45]

Answer:

9 answer ok like floow on

7 0
3 years ago
Parallel lines always,sometimes,or never intersect?
STatiana [176]
They never intersect
8 0
3 years ago
Read 2 more answers
p varies jointly as q and the square of r, and p = 200 when q = 2 and r = 3. Find p when q = 5 and r= 2.
Margarita [4]

Step-by-step explanation:

If a variables varies jointly, we can just divide it by the other variables in relation to it.

For example, since p variables jointly as q and square of r, then

\frac{p}{q {r}^{2} }  = k

where k is a constant

First, let find k. Substitute p= 200

q= 2, and r=3.

\frac{200}{2(3) {}^{2} }  = k

\frac{200}{18}  = k

\frac{100}{9}  = k

Now, since we know our constant, let find p.

\frac{p}{q {r}^{2} }  =  \frac{100}{9}

Q is 5, and r is 2.

\frac{p}{5( {2}^{2}) }  =  \frac{100}{9}

\frac{p}{20}  =  \frac{100}{9}

p =  \frac{2000}{9}

3 0
1 year ago
Answer the questions in the image attached.
MArishka [77]
A) and translate figure A 11 units left and 5 units down
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2 years ago
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