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Naya [18.7K]
4 years ago
12

Identify the reflection of the figure with vertices P (2, −12), Q (−3, 13), and R (−5, −15) across the x-axis.

Mathematics
1 answer:
nexus9112 [7]4 years ago
4 0
Reflections across the x-axis  leaves the x  coordinates the same but the y coordinates  change sign

so point P (2,-12) is reflected to (2, 12)
So now you can identify the correct choice
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Whats they answer for they question 10+20
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Answer:

30

Step-by-step explanation:

jk it's 19

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What would you multiply the dividend and divisor by in the following division problem so that the divisor would become a whole n
horsena [70]
Devisor is the bottom number
hmm

11.75=11 and 3/4
so times it by 4  to clear denomenator
but do it by top and bottom

23.4/11.75 times 4/4=93.6/47

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Round 0.0245 to 2 significant figures. Detailed steps please!
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Write a polynomial function of least degree with integral coefficients that has the given zeros. -5, 3i
Virty [35]

Solving for the polynomial function of least degree with integral coefficients whose zeros are -5, 3i

 

We have:
x = -5

Then x + 5 = 0

Therefore one of the factors of the polynomial function is (x + 5)


Also, we have:
x = 3i
Which can be rewritten as:
x = Sqrt(-9)
Square both sides of the equation:
x^2 = -9
x^2 + 9 = 0

Therefore one of the factors of the polynomial function is (x^2 + 9)


The polynomial function has factors: (x + 5)(x^2 + 9)
= x(x^2 + 9) + 5(x^2 + 9)

= x^3 + 9x + 5x^2 = 45

Therefore, x^3 + 5x^2 + 9x – 45 = 0

f(x) = x^3 + 5x^2 + 9x – 45

 

The polynomial function of least degree with integral coefficients that has the given zeros, -5, 3i is f(x) = x^3 + 5x^2 + 9x – 45

5 0
3 years ago
Angelo's mother put $50 on his lunch card. He spends the same amount
amid [387]

Answer:

Given that Angelo spends the same amount every day from the amount in

the lunch card, the function of the amount remaining is a linear function.

The constant rate of change of the function is; -5.25

The two ordered pairs used to find the constant rate of change are; (1, 44.75) and (2, 39.5)

Reasons:

The amount Angelo's mother put on the lunch card = $50

A possible table of values to the question is presented as follows;

Required:

The constant rate of the function that gives the amount remaining from the

amount Angelo's mother put on his lunch card.

Solution:

The two ordered pairs that can be used to find the slope or constant rate of change are;

(x₁, y₁) = (1, 44.75), and (x₂, y₂) = (2, 39.5)

With the above two ordered pairs, we have the constant rate of change of the function given as follows;

The constant rate of change for the function that gives the amount remaining in the lunch card is; -5.25

3 0
3 years ago
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