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malfutka [58]
3 years ago
12

Solve this plz plz plz plz plz plz plz!​

Mathematics
1 answer:
Goshia [24]3 years ago
6 0

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What is the equation of a line that passes through the point (6, 1) and is perpendicular to the line whose equation is y=−2x−6 ?
ladessa [460]

Answer:

y=\frac{1}{2}x-2

Step-by-step explanation:

we are given

Line is perpendicular to y=−2x−6

we can compare it with

y=mx+b

where

m is slope

so, m=-2

so, slope is -2

Our line is perpendicular to this slope

so, slope of our line will be

m'=-\frac{1}{-2}

m'=\frac{1}{2}

now, we are given point as (6,1)

so, x_1=6,y_1=1

now, we can use point slope form of line

y-y_1=m(x-x_1)

we can plug values

y-1=\frac{1}{2}(x-6)

now, we can solve for y

and we get

y=\frac{1}{2}x-2


5 0
3 years ago
Round it to the nearest hundredth x= 3.752697842
Elis [28]

Answer:

3.75

Step-by-step explanation:

The hundredth is the 2 number after the decimal point so round that up.

8 0
3 years ago
Read 2 more answers
9.921 how do you round it to the nearest hundredth 
Evgesh-ka [11]
9.921\to\boxed{9.920}
4 0
3 years ago
Read 2 more answers
The radius of the tires of a car is 18 inches, and they are revolving at the rate of 651 revolutions per minute. How fast is the
Mumz [18]
So the car is moving at 651 revolutions per minute, with wheels of a radius of 18inches

so, one revolution, is just one go-around a circle, and thus 2π, 651 revolutions is just 2π * 651, or 1302π, the wheels are moving at that "angular velocity"

now, what's the linear velocity, namely, the arc covered per minute

well   \bf v=rw\qquad &#10;\begin{cases}&#10;v=\textit{linear velocity}\\&#10;r=radius\\&#10;w=\textit{angular velocity}\\&#10;----------\\&#10;r=18in\\&#10;w=1302\frac{\pi }{min}&#10;\end{cases}\implies v=18in\cdot \cfrac{1302\pi }{min}&#10;\\\\\\&#10;v=\cfrac{23436\pi\ in}{min}

now, how much is that in miles/hrs?  well
let's keep in mind that, there are 12inches in 1foot, and 5280ft in 1mile, whilst 60mins in 1hr

thus   \bf \cfrac{23436\pi\ in}{min}\cdot \cfrac{ft}{12in}\cdot \cfrac{mi}{5280ft}\cdot \cfrac{60min}{hr}\implies \cfrac{23436\cdot \pi \cdot 60\ mi}{12\cdot 5280\ hr}

notice, after all the units cancellations, you're only left with mi/hrs
4 0
3 years ago
Mr. Bloop can high jump 5.75 feet. How far short is that of Charles Austin's record of 7 ft 10 in?
a_sh-v [17]

Answer:

5.75 feet is the same as 5 ft 9 inches (because 12 in = 1 ft and 0.75 * 12 = 9 so its 9 in). 7 ft 10 in - 5 ft 9 in = 2 ft 1 in.

6 0
4 years ago
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