All categories

3 years ago

Are the following lines parallel, perpendicular, or neither?

Mathematics

1 answer:

sashaice [31]3 years ago

7 0

Answer:

Neither

Step-by-step explanation:

equation 1 is a negative slope, equation 2 is a positive slope, but with a different slope.

You might be interested in

A 10 foot ladder is leaning against a wall. Call x the distance from the top of the ladder to the ground, and call y the distanc

liq [111]

$-5.3\:\text{ft/s}$

Step-by-step explanation:

We start by applying the Pythagorean theorem to the ladder, with its length L as the hypotenuse:

$L^2 = 100\:\text{ft}^2 = x^2 + y^2$

where x is the vertical distance from the top of the ladder to the ground and y is the horizontal distance from the bottom of the ladder to the wall. Taking the derivative of the above expression with respect to time, we get

$0 = 2x\dfrac{dx}{dt} + 2y\dfrac{dy}{dt}$

Solving for dx/dt, we get

$\dfrac{dx}{dt} = -\left(\dfrac{y}{x}\right)\dfrac{dy}{dt} = -\left(\dfrac{\sqrt{L^2 - x^2}}{x}\right)\dfrac{dy}{dt}$

We know that

$\dfrac{dy}{dt} = 4\:\text{ft/s}$

when x = 6 ft. So the rate at which the top of the ladder is going down is

$\dfrac{dx}{dt} = -\left(\dfrac{\sqrt{100\:\text{ft}^2 - (6\:\text{ft})^2}}{6\:\text{ft}}\right)(4\:\text{ft/s})$

$\:\:\:\:\:\:\:= -5.3\:\text{ft/s}$

The negative sign means that the distance x is decreasing as y is increasing.

5 0

3 years ago

1.3 is less than or equal to h which is less than or equal to 2.3. How would I write this as an absolute value inequality.

givi [52]

Answer:

Step-by-step explanation:

Idk srry im stupid

3 0

3 years ago

Round to the nearest thousand then subtract

nlexa [21]

The answer is 7,000

3 0

3 years ago

Read 2 more answers

If the perimeter of a regular pentagon can be expressed as 10s - 20, determine the length of each side.

dedylja [7]

Regular pentagon means the shape with 5 sides which their lengths are equal to each other.

so, if the total perimeter of the pentagon is 10s - 20,
we can find the length of each side by dividing it by 5.

(10s - 20) / 5

we can expand this equation by dividing each number in the bracket by 5

= 2s - 4

Therefore, the answer should be D.

5 0

4 years ago

Read 2 more answers

What is the explicit rule for this geometric sequence? PLEASE HELP

Yakvenalex [24]

Answer:

first write the formula and also send me the pick

5 0

3 years ago