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Umnica [9.8K]
3 years ago
6

Write y=2x^2+8x+10 in vertex form?

Mathematics
2 answers:
muminat3 years ago
5 0
The answer is -2 you use the formula -b over 2a
soldi70 [24.7K]3 years ago
4 0
\bf y=2x^2+8x+10\impliedby \textit{let's start by grouping}
\\\\\\
y=(2x^2+8x)+10\implies y=2(x^2+4x+\boxed{?}^2)+10

hmmm we seem to be missing a value there, to get a "perfect square trinomial" from the group... what can that be?
hmm, well, recall, the middle term of a perfect trinomial, is 2 * [guy on the left] * [guy on the right]

now, the middle term, would be 4x, so, we know that 2 * x * [?] = 4x
well \bf 2\cdot x\cdot \boxed{?}=4x\implies \boxed{?}=\cfrac{4x}{2x}\implies \boxed{?}=2

so, that's our missing fellow, is 2, now, keep in mind, all we're doing is borrowing from our very good friend Mr Zero, 0, so, if we add 2², we have to also subtract 2²

thus   \bf y=2(x^2+4x+2^2-2^2)+10\\\\\\ y=2(x^2+4x+2^2)-2^2\cdot 2+10
\\\\\\
y=2(x+2)^2-8+10\implies y=2(x+2)^2+2

notice, the -2 was inside, with a common factor of 2, so it was really 2*-2², or -8 when it came out of the group

anyhow, that's the so-called "completing the square", and that's the vertex form of the parabola, whose vertex is clearly at -2, 2
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Teams of 4 are competing in a 1/4 mile relay race. Each runner must run the same exact distance. What is the distance each teamm
PSYCHO15rus [73]


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3 years ago
cConsider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number,
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3 years ago
Read 2 more answers
If mRS=x then write an equation that could be used to solve for x and find the value of x
Fed [463]

Answer:

a) x = 30°

b) mRS = x = 30°

mST = 4x = 4(30°) = 120°

mTU = 4x = 4(30°) = 120°

mUR = 3x = 3(30°) = 90°

Question:

The complete question as found on Chegg website:

In the diagram below, secants PT and PU have been drawn from exterior point P such that the four arcs

intercepted have the following ratio of measurements:

mRS : mST :MTU : mUR=1:4:4:3

(a) If mRS = x, then write an equation that could be used to solve for x

and find the value of x.

(b) State the measure of each of the four arcs.

mRS =

mST =

MTU

MUR =

Step-by-step explanation:

Find attached the diagram related to the question

mRS : mST : mTU : mUR = 1:4:4:3

Since mRS = x

Writing the ratios of the measure of angle in terms of mRS:

mST = 4× mRS = 4×x = 4x

mTU = 4× mRS = 4×x = 4x

mUR= 3× mRS = 3×x = 3x

The sum of measure the 4 measures of arc = 360° (sum of angle in a circle)

mRS + mST + mTU + mUR = 360°

x + 4x + 4x + 3x = 360

12x = 360

x = 360/12

x = 30°

b) The measure of angle

mRS = x = 30°

mST = 4x = 4(30°) = 120°

mTU = 4x = 4(30°) = 120°

mUR = 3x = 3(30°) = 90°

6 0
3 years ago
How to do like terms if needed
coldgirl [10]
Let me give you an example
6x + 5x + 14 + 6
So all you is combine 6x and 5x
11x +14 + 6
Then you just combine the other two numbers
11x + 20
4 0
3 years ago
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