There are 1760 yards in a mile. A marathon is approximately 26 miles. How many yards is this?

Mathematics

2 answers:

Anestetic [448]3 years ago

7 0

1760 yards in a mile
26×1760=45760

Oksanka [162]3 years ago

3 0

Multiply 1760 by 26
1760*26
And it gives you the answer
=45760

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If y = 3x^3 - 2x and dx/dt equals 3, find dy/dt when x = -2. Give only the numerical answer. For example, if dy, dt = 4, type on

Nadya [2.5K]

Answer:

$\frac{dy}{dt} = 102$

Step-by-step explanation:

step(i)

Given function y = 3 x³ - 2 x ... (i)

Differentiating equation (i) with respective to 'x'

$\frac{dy}{dx} = 3 (3 x^{2} ) - 2(1)$

Given x = -2

$(\frac{dy}{dx} ) x_{=-2} = 3 (3 (-2)^{2} ) - 2(1)$

$(\frac{dy}{dx} ) x_{=-2} = 36 -2 =34$

Step(ii):-

we know that

$\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

Given $\frac{dx}{dt} = 3 and \frac{dy}{dx} = 34$

$\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

substitute values $\frac{dx}{dt} = 3 and \frac{dy}{dx} = 34$

⇒ $34 = \frac{\frac{dy}{dt} }{3 }$

cross multiplication , we get

$\frac{dy}{dt} = 34( 3 ) = 102$

Final answer:-

$\frac{dy}{dt} = 34( 3 ) = 102$

8 0

3 years ago

Can anyone help me with this and explain it too?

arlik [135]

Answer:

(6, 3)

Step-by-step explanation:

$Midpoint (x_{m},y_{m})=(\frac{x_A + x_B}{2}, \frac{y_A + y_B}{2})\\\\=(\frac{3 + 9}{2}, \frac{6 + 0}{2})\\\\=(\frac{12}{2}, \frac{6}{2})\\\\Midpoint of a line segment (x_M, y_M) = (6, 3)$

How to Calculate Midpoint?

The x-coordinate of the midpoint M of the segment $\overline{AB}$ is the arithmetic mean of the x-coordinates of the endpoints of the segment $\overline{AB}$ . Similarly, the y-coordinate of the midpoint M of the segment $\overline{AB}$ is the arithmetic mean of the y-coordinates of the endpoints of the segment $\overline{AB}$ .