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Veronika [31]
2 years ago
15

The function h is defined as follows.

Mathematics
1 answer:
JulsSmile [24]2 years ago
3 0

Answer:

The equation you are given is a quadratic. The standard form of a quadratic is y = a(x-h)2 + k where (h,k) is the vertex of the graph, which is a parabola. Vertically moving the graph 4 units upward means that you are moving k +4 units.

y = a(x-h)2 + k            standard form

y = 5x2 - 4                  original equation

y = 5(x-0)2 - 4            re-written in standard form

h = 0     k = -4

Four (4) units up is k + 4--->-4 + 4 = 0.

Therefore, f(x) = 5x2 + 0--->f(x) = 5x2.

Step-by-step explanation:

hope this helps

plz mark brainliest

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A
gavmur [86]

Answer:

m∠QPM=43°

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m∠NPQ=m∠MPN+m∠MPQ

we have

m∠NPQ=(9x-25)°

m∠MPN=(4x+12)°

m∠MPQ=(3x-5)°

substitute the given values and solve for x

(9x-25)°=(4x+12)°+(3x-5)°

(9x-25)°=(7x+7)°

9x-7x=25+7

2x=32

x=16

Find the measure of angle QPM

Remember that

m∠QPM=m∠MPQ

m∠MPQ=(3x-5)°

substitute the value of x

m∠MPQ=(3(16)-5)=43°

therefore

m∠QPM=43°

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