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3 years ago

Deandre is going for a run. He runs at a speed of 6.4 miles per hour for two hours. For how many miles does he run?

Mathematics

1 answer:

Lina20 [59]3 years ago

8 0

You just multiply 6.4 by how many hours, and that’s your answer. So it’s 12.8 miles in 2 hours

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2 years ago

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3 years ago

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3 years ago

Cuál es el resultado de |-15| x (-5)

notka56 [123]

Answer:

$\frac{15}{x^5}$

Step-by-step explanation:

$\left|-15\right|x^{-5}$

Step 1: Apply exponent rule: $\:a^{-b}=\frac{1}{a^b}$

$=\left|-15\right|\frac{1}{x^5}$

Step 2: Multiply fractions: $a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}$

$=\frac{1\cdot \left|-15\right|}{x^5}$

Step 3: Simplify

$=\frac{15}{x^5}$

The result is $=\frac{15}{x^5}$

<u>Spanish/Espanól</u>

Respuesta:

$\frac{15}{x^5}$

Explicación paso a paso:

$\left|-15\right|x^{-5}$

Paso 1: aplique la regla del exponente: $\:a^{-b}=\frac{1}{a^b}$

$=\left|-15\right|\frac{1}{x^5}$

Paso 2: multiplica fracciones: $a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}$

$=\frac{1\cdot \left|-15\right|}{x^5}$

Paso 3: simplifica

$=\frac{15}{x^5}$

El resultado es $=\frac{15}{x^5}$

7 0

2 years ago

Select the correct answer from each drop-down menu. A parabola is given by the equation y = x2 − 2x − 3. The directrix of the pa

choli [55]

Answer:

Part 1) The directrix of the parabola is y=-4.25

Part 2) The focus of the parabola is F(1,-3.75)

Step-by-step explanation:

we have

$y=x^{2}-2x-3$

This is a vertical parabola open upward

we know that

If a parabola has a vertical axis, the standard form of the equation of the parabola is

$(x - h)^{2}=4p(y - k)$

where

p≠ 0

The vertex of this parabola is at (h, k).

The focus is at (h, k + p).

The directrix is the line y = k - p.

The axis is the line x = h.

step 1

Convert the equation of the parabola in standard form

$y=x^{2}-2x-3$

$y+3=x^{2}-2x$

$y+3+1=x^{2}-2x+1$

$y+4=x^{2}-2x+1$

$y+4=(x-1)^{2}$

$(x-1)^{2}=(y+4)$ ----> equation in standard form

The vertex is the point (1,-4)

4p=1 ------> p=1/4

step 2

Find the directrix of the parabola

The directrix is the line y = k - p

we have

k=-4

p=1/4

substitute the values

y = k - p

y=-4-(1/4)=-17/4

y=-4.25

step 3

Find the focus of the parabola

we know that

The focus is at (h, k + p).

we have

h=1

k=-4

p=1/4

substitute

F(1,-4+1/4)

F(1,-3.75)

4 0

3 years ago