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jolli1 [7]
3 years ago
7

What is the intermediate step in the form (x + a)2 = b as a result of completing the

Mathematics
1 answer:
irina [24]3 years ago
5 0

Answer:

So the intermediate step in question is (x - 10)² = 66

Step-by-step explanation:

Let's find out:

x² + 34 = 10x

x² - 10x = -34

x² - 20x + 100 = 66

(x - 10)² = 66

x - 10 = ± √66

x = 10  ± √66

x ≈ 18.12, 1.88

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Let P be the parabola with focus (0,4) and directrix y=x.Write an equation whose graph is a parabola with a vertical directrix t
prisoha [69]

Answer:

y²=4√2.x

Step-by-step explanation:

The focus is at (0,4) and directrix is y=x or x-y =0, for a parabola P.

The distance between the focus and the directrix of the parabola P is

\frac{ |0-4| }{\sqrt{(1)^{2}+(-1)^{2}  } }=\frac{4}{\sqrt{2} }

{Since the perpendicular distance of a point (x1, y1) from the straight line ax+by+c =0 is given by \frac{ |ax1+by1+c| }{\sqrt{a^{2}+b^{2}  } } }

Let us assume that the equation of the parabola which is congruent with parabola P is y²=4ax

{Since the parabola has vertical directrix}

Hence, the distance between focus and the directrix is 2a = \frac{4}{\sqrt{2} }, {Two parabolas are congruent when the distances between their focus and the directrix are same}

⇒ a=√2

Therefore, the equation of the parabola is y²=4√2.x (Answer)

3 0
3 years ago
I am just completely lost and am unsure of how to approach this problem.
Ipatiy [6.2K]

Answer:47

Step-by-step explanation: sum of angles in a straight is 180

Aob +Box =180

6x+29+3x+124 =180

9x + 153 = 180

9x =27

x= 3

Boc =6*3 +29

Boc = 47

4 0
3 years ago
Plsss help asap first to answer gets brainest ​
Akimi4 [234]
The rise is 6
and the run is 4
4 0
3 years ago
After spending many hours studying for your math class, you decide to reward yourself with a case of cream soda. Unfortunately,
Reil [10]

Answer:About sixteen minutes.

Step-by-step explanation: After you find out that Ten minutes is six degrees you divide ten by six and get 1.666. Then you multiply that by the time remaining and get 16 minutes rounded. or seventeen if you are specific.

5 0
2 years ago
What is an expression that is equal to 3 x 2 1/4
kondaur [170]
6 1/4 your bad kid get good
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3 years ago
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