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laiz [17]
2 years ago
8

If H(x)=4x^2-16 were shifted 7 units to the right and 3 down, what would the new equation be?

Mathematics
2 answers:
ss7ja [257]2 years ago
4 0
Shift to the right c units means minus c from every x
shift up c units, means add c to whle function

7 right and 3 down
minus 7 from every x and minus 3 from whole function

new function=4(x-7)²-16-3 or
newfunction=4(x-7)²-19
REY [17]2 years ago
4 0

A. H(x) = 4(x - 9)^2 - 17

B. H(x) = 4(x - 7)^2 - 19

C. H(x) = 4(x + 9)^2 - 17

D. H(x) = 4(x +7)^2 + 19

The answer is B. H(x) = 4(x - 7)^2 - 19

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mote1985 [20]

Answer:

The correct option is option (c).

Sin \ P= \frac {RQ}{PQ}

Step-by-step explanation:

Right angled triangle:

  • One angle must be 90° and other two angles are acute angle.
  • The hypotenuses is the longest side of the triangle and opposite right angle.
  • It follows the Pythagorean Theorem.

Given that,

∠QRP= 90°, ∠RPQ= 30°, ∠PQR = 60°

we know that,

sin \theta =\frac{Opposite }{Hypotenuse}

for sin P , the opposite is QR.

The hypotenuse is PQ.

Therefore,

Sin \ P= \frac {RQ}{PQ}

5 0
2 years ago
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Write the explicit rule,
meriva

Answer:

a_{n} = 20n + 12

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 52 - 32 = 72 - 52 = 92 - 72 = 20

This indicates the sequence is arithmetic with explicit formula

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 32 and d = 20, thus

a_{n} = 32 + 20(n - 1) = 32 + 20n - 20 = 20n + 12

7 0
2 years ago
Andre types 208 words in 4 minutes. Noah types 342 words in 6 minutes. Who types faster?
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Answer:

Noah types faster

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Andre's typing speed per minute - 52 words per minute

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Noah's typing speed per minute - 57 words per minute

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3 0
3 years ago
Select the correct answer. Every dimension of a triangular pyramid is multiplied by 10 to produce a new figure that is geometric
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Answer:

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Step-by-step explanation:

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If each dimension has changed by 10 times, the the area will change by:

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