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DIA [1.3K]
3 years ago
7

How many inches are in 1 mile? (5280ft = 1mi; 12in = 1ft)

Mathematics
2 answers:
Andreyy893 years ago
8 0

Answer:

63360

Step-by-step explanation:

5280 × 12 = 63360

7nadin3 [17]3 years ago
4 0

1 mile * 5280 ft * 12 in = 63360 in

There are 63360 inches in one mile

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Does the function g(x) = -2x2 + 10x + 2 have a minimum or a maximum? Identify its value.<br> +
Hitman42 [59]

Answer:

(5/2, 29/2), and this represents a maximum

Step-by-step explanation:

g(x) = -2x^2 + 10x + 2 is a quadratic function with coefficients {-2, 10, 2}.

The formula for the axis of symmetry (which passes through the vertex) is

x = -b/ [2a].  Here, a = -2; b = 10.  Therefore, the axis of symmetry is

x = -10/ [2(-2)] = -10/(-4) = 5/2

Evaluate the function g(x) = -2x^2 + 10x + 2 at x = 5/2 to determine the y-coordinate of the vertex:

g(5/2) = -2(5/2)^2 + 10(5/2) + 2, or

g(5/2) = -2(25/4) + 25 + 2, or

g(5/2) = -25/2 + 27, or

g(5/2) = 14.5

The vertex is thus (5/2, 29/2), and this represents a maximum, because the coefficient of the x^2 term is negative (the curve opens downward).

3 0
2 years ago
Jason wants to walk the shortest distance to get from the parking lot to the beach. a.How far is the spot on the beach from the
lara31 [8.8K]

3 RIGHT TRIANGLES

1 big right triangle is divided into 2 smaller ones. Medium and small.

<span> a.How far is the spot on the beach from the parking lot? </span>

Medium triangle: long leg = 32 m ; short leg = x

Small triangle: long leg = x ; short leg = 18m

32/x = x/18

32*18 = x*x

576 = x²

√576 = √x²

24 = x    

Parking lot to the beach is 24 meters.

<span>b. How far will he have to walk from the parking lot to get to the refreshment stand?</span>

Use Pythagorean theorem:

Medium triangle: long leg = 32 m ; short leg = 24 m ; hypotenuse = ?

32²+ 24² = c²

1024 + 576 = c²

1600 = c²

√1600 = √c²

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Parking lot to refreshment stand is 40 meters.

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3 years ago
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Answer:

x = - 2

Step-by-step explanation:

Given

- 1.2x + 2.5 = 0.8x + 6.5 ( subtract 0.8x from both sides )

- 2x + 2.5 = 6.5 ( subtract 2.5 from both sides )

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x = - 2

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Which are two ways to represent the slope, m, of the line shown?
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A is the correct answer
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Answer:

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