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2 years ago

What is the vertex form of 4x^2+4x-12

Mathematics

2 answers:

Olin [163]2 years ago

5 0

Answer:

(-1/2, -13/4)

Step-by-step explanation:

Start with y = 4x^2+4x-12. Put this into the form y = a(x-h)^2 + k, where (h, k) represents the vertex.

Factor 4 out of this expression, obtaining: y = 4(x^2 + x - 3).

Next, complete the square of the quantity inside parentheses:

y = 4[ x^2 + x + 1/4 - 1/4 - 3 ], or

y = 4[ (x + 1/2)^2 - 13/4 ]

We can now conclude that the vertex is (-1/2, -13/4).

REY [17]2 years ago

3 0

Answer:

(-0.5, -13)

Step-by-step explanation:

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Which postulate or theorem can be used to

sveticcg [70]

Answer:

AA Similarity Postulate

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

step 1

Verify the proportion of the corresponding sides

$\frac{PS}{PQ}=\frac{PT}{PR}$

substitute

$\frac{45}{20}=\frac{36}{16}$

$2.25=2.25$ ----> is true

Corresponding sides are proportional

Triangle PQR is similar to Triangle PST

That means

Corresponding angles must be congruent

side QR is parallel side ST

and

$m\angle PQR=m\angle PST$ ----> by corresponding angles

$m\angle PRQ=m\angle PTS$ --> by corresponding angles

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4 0

3 years ago

There are values of t so that sin t=.35 and cos t=.6

NISA [10]

Recall the fundamental rule of trig:

$\sin^2(x)+\cos^2(x)=1 \quad\forall x \in \mathbb{R}$

So, there exists an angle $t$ such that

$(0.6,0.35)=(\sin(t),\cos(t))$

if and only if

$\sin^2(t)+\cos^2(t)=0.6^2+0.35^2=1$

Working out the numbers, we get

$0.6^2+0.35^2=0.36+0.1225=0.4825\neq 1$

So, there doesn't exist a number $t$ such that

$(0.6,0.35)=(\sin(t),\cos(t))$

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2 years ago

Select the statement that is true. Group of answer choices There are integers s and t such that 2=102⋅s+72⋅t . here are integers

LekaFEV [45]

Answer:

Step-by-step explanation: true

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3 years ago

How do you find the area of combined rectangles?

Vadim26 [7]

Find the area of one rectangle and then the other and add the two together.

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3 years ago

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Order the values from least to greatest

Irina-Kira [14]

Step-by-step explanation:

64 2/3 = 16

4 square root 256 = 64

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2 years ago