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3 years ago

Math flavored homework is hard so I need help

Mathematics

1 answer:

Ilya [14]3 years ago

3 0

Answer:

<h2>A) 52 units</h2>

Step-by-step explanation:

The formula of a distance between two points X and Y on the number line:

d = |Y - X|

We have

P = -76, Q = -24

Substitute:

d = |-24 - (-76)| = |-24 + 76| = |52| = 52

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REY [17]

Answer:

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Step-by-step explanation:

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3 years ago

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Hunter-Best [27]

Answer:

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Step-by-step explanation:

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3 years ago

Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the

Llana [10]

Answer:

h(x), g(x), f(x)

Step-by-step explanation:

The axis of symmetry of a parabola is the vertical line through its vertex.

The equation is written in vertex form:

f(x) = a(x -h)² +k . . . . . vertex (h, k), scale factor 'a'

The vertical line through the vertex is x=h.

Your equation is ...

f(x) = -2(x -4) +2

so (h, k) = (4, 2) and the line of symmetry is x=4.

The given equation can be written in vertex form:

g(x) = 5x² -10x +7

g(x) = 5(x² -2x) +7

g(x) = 5(x² -2x +1) +7 -5 . . . . complete the square

g(x) = 5(x -1)² +2

so (h, k) = (1, 2) and the line of symmetry is x=1.

Your problem statement tells us ...

h(x) = -(x +2)² +2

so (h, k) = (-2, 2) and the line of symmetry is x=-2.

The coordinates of the vertex can also be read from the graph: (-2, 2).

<h3>order</h3>

The rank of the functions is the order of {-2, 1, 4}, or h(x), g(x), f(x).

7 0

2 years ago

a 9ft ladder is placed 4.5 feet from the base of a wall. How high up will the ladder reach? Round to the nearest hundredth.

spin [16.1K]

Answer:

$\huge\boxed{7.79 \ \text{feet}}$

Step-by-step explanation:

We know that we have a 9 foot long ladder resting upon a wall, with an unknown height, but the ladder is 4.5 feet away from the wall.

This can be represented as a triangle, where x is the unknown side.

| \

x | \ 9

| \

|_____\

4.5

We can use The Pythagorean Theorem to find the value of x. The theorem states that $a^2+b^2=c^2$ , where a and b are the lengths of the legs and c is the length of the hypotenuse.

However, we already know the hypotenuse and one leg. Therefore we can substitute inside the equation to find the missing value.

$a^2 + 4.5^2 = 9^2\\\\a^2 + 20.25 = 81\\\\a^2 = 60.75\\\\a \approx 7.79$

Hope this helped!

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3 years ago

A sample of 260 students enrolled at a university were asked what they intended to do after graduation. The results are shown be

shepuryov [24]

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3 years ago