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2 years ago

What is an equation of the line that is perpendicular to y=−23x+5 and passes through the point (2, 11) ?

Mathematics

2 answers:

hichkok12 [17]2 years ago

5 0

Answer:

The equation would be y = 1/23x - 251/23

Step-by-step explanation:

To start, you need to locate the slope of the first equation. Since the slope is the coefficient of x, we know it to be -23. Now, the perpendicular slope is the opposite and reciprocal of that, which makes the new slope 1/23.

Now that we have this, we can use the point and the slope in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 11 = 1/23(x - 2)

y - 11 = 1/23x - 2/23

y = 1/23x - 251/23

Elina [12.6K]2 years ago

5 0

Answer:

Step-by-step explanation:

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Find a point slope form for the line with slope 1/5 and passing through the point (-3,-9)

alisha [4.7K]

Answer:

y+9=1/5(x+3)

Step-by-step explanation:

Point slope formula: y-y1=m(x-x1)

slope=m

m=1/5

-3=x1 -9=y1

y-(-9) =1/5(x-(-3))

simplify...

y+9=1/5(x+3)

hope this helps!! :)

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3 years ago

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NikAS [45]

Answer:

1)6

2)36

Step-by-step explanation:

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2 years ago

En una tienda se anuncia la rebaja de 20% en todos sus artículos . Rafael elije una camisa y al llegar a la caja le informan que

dimulka [17.4K]

Responder:

$ 750

Explicación paso a paso:

Dado que :

Descuento en todos los artículos = 20%

Descuento adicional dado = 15%

Monto final pagado por la camisa = $ 510

Precio de la camiseta sin descuento:

Sea el precio inicial de la camisa = x

Primer descuento obtenido = 20%

Precio pagado después de un descuento adicional del 15%

Primer descuento:

(1 - 0,20) * x = 0,8x

Segundo descuento:

(1 - 0,15) * 0,8x = 510

0,85 * 0,8x = 510

0,68x = 510

x = 510 / 0,68

x = $ 750

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2 years ago

Given: RW ≅ WT; UW ≅ WS Prove: RSTU is a parallelogram. Identify the steps that complete the proof.

JulijaS [17]

Identify the steps that complete the proof.

♣ = ✔ vertical angles theorem

♦ = ✔ SAS

♠ = ✔ CPCTC

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3 years ago

Read 2 more answers

If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate (in cm/min) at which the diameter d

grin007 [14]

Answer:

The diameter decreases at a rate of 0.053 cm/min.

Step-by-step explanation:

Surface area of an snowball

The surface area of an snowball has the following equation:

$S_{a} = \pi d^2$

In which d is the diameter.

Implicit differentiation:

To solve this question, we differentiate the equation for the surface area implictly, in function of t. So

$\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}$

Surface area decreases at a rate of 3 cm2/min

This means that $\frac{dS_{a}}{dt} = -3$

Tind the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm.

This is $\frac{dd}{dt}$ when $d = 9$ . So

$\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}$

$-3 = 2*9\pi\frac{dd}{dt}$

$\frac{dd}{dt} = -\frac{3}{18\pi}$

$\frac{dd}{dt} = -0.053$

The diameter decreases at a rate of 0.053 cm/min.

7 0

2 years ago