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3 years ago

Convert the point slope equation y - 2 = - 3/5(x + 2) into standard form.

Mathematics

1 answer:

IrinaK [193]3 years ago

4 0

Y-2=-3/5x -6/5

(5)(y-2)=(-3/5x-6/5)(5)

5y-10=-3x-6

5y+2x=4

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In circle pp, ad¯¯¯¯¯ad¯ is a diameter and bc¯¯¯¯¯bc¯ is perpendicular to ad¯¯¯¯¯ad¯ at ee. if pd=7pd=7 and ae=4ae=4, find cece.

kvv77 [185]

See the attached figure.

ad is a diameter of the circle with center p

∵ pd = radius = 7 ⇒⇒⇒ ∴ ad = 2 * radius = 2 * 7 = 14
∵ ae = 4 ⇒⇒⇒ ∴ ed = ad - ae = 14 - 4 = 10
∵ ad is a diameter
Δ acd is a triangle drawn in a half circle
∴ Δ acd is a right triangle at c
∵ bc ⊥ ad at point e
By applying euclid's theorem inside Δ acd
∴ ce² = ae * ed
∴ ce² = 4 * 10 = 40
∴ ce = √40 = 2√10 ≈ 6.325

3 0

3 years ago

A biker travels the 120 mi from New York , NY to Wilmington, DE in 8 hours. A bus, a truck, and a rider on a horse take the same

pickupchik [31]

Answer:

First, remember the relation:

Distance = Speed*Time.

We know that the distance is 120mi.

A) For the biker we know that:

Time = 8hours.

Speed = Distance/Time = 120mi/8h = 15 mi/h.

B) For the bus we know that:

Time = 2 hours.

Speed = Distance/Time = 120mi/2h = 60 mi/h.

C) For the truck we know that:

Time = 2.5 hours.

Speed = Distance/Time = 120mi/2.5h = 48 mi/h.

D) For the rider on a horse we know that:

Time = 18.75 hours.

Speed = Distance/Time = 120mi/18.75h = 6.4 mi/h.

E) The equation for the speed is:

Speed = Distance/Time.

You can see that time is in the denominator, this means that if for a fixed distance, the time increases, then the denominator increases, which would imply that the speed decreases.

Then the speed is inversely proportional to the time when the distance is fixed.

4 0

3 years ago

The circumference of the circle-shaped rug is 69.08 inches.

adelina 88 [10]

We can find the diameter by dividing the circumference by 3.14
d = 22

Thus, our radius is 11.
r = 11

Now, let's use the area formula ( $3.14 \cdot r^2$ ) to solve for the area.
a = $3.14 \cdot (11^2) = \boxed{379.94}$

8 0

2 years ago

Show any calculations, including 180 degrees, go step by step pls.

ICE Princess25 [194]

Answer:

120°, 120°, 60°, 60°

Step-by-step explanation:

m∠1 = 180° - 60° = 120°

m∠1 = m ∠2 (alternate interior)

m∠3 = 60° (vertical to given angle)

m∠4 = m∠3 (alternate exterior)

5 0

3 years ago

A falling object travels a distance given by the formula d=3t+5t2, where d is measured in feet and t is measured in seconds. How

Romashka-Z-Leto [24]

Answer:

4.52secs

Step-by-step explanation:

Given the height of a falling object expressed as;

d=3t+5t^2

If the object travel 84 feet, we are to find the time t it takes to travel. On substituting;

84 = 3t+5t^2

3t+5t^2 - 84 = 0

t = -5±√25-4(3)(-84)/2(3)

t = -5±√25+1008/6

t = -5±32.14/6

t = -5+32.14/6

t = 27.14/6

t = 4.52 secs

Hence it will take 4.52secs for the object to travel 84feet

8 0

2 years ago