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2 years ago

Find the equation of a line passing through a point (3,5) and perpendicular to the line joining the points (3, 7) and (7, -1)

Mathematics

1 answer:

eduard2 years ago

7 0

Step-by-step explanation:

we start first by finding the gradient of the line

change in y/change in x

7-(-1)/3-7=8/-4

=-2

then for perpendicular lines m1m2=-1

therefore to find the gradient of that line

-2m2=-1

therefore m2=2

so therefore

y-5/x-3=2

so y-5=2x-6

y-2x=-1

in the form y= mx +c

then y=2x-1

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Item 10 Find the median, first quartile, third quartile, and interquartile range of the data. 38,55,61,56,46,67,59,75,65,58

jok3333 [9.3K]

I think the median is 58.5, the first quartile is 50.5, the third quartile is 66, and finally, the interquartile range is 12.75.

3 0

3 years ago

Find x and h (And show work)

sergey [27]

Answer:

base=×

hypotenuse=6

prependicular=90

we know that

90÷6

×=15

3 0

3 years ago

16. Solve for the angle x. cos(¹/2x) = ¹/2

Basile [38]

Answer:

We know that ,

$\rightarrow \tt \cos( \frac{\pi}{3} ) = \frac{1}{2}$

So ,

$\: \rightarrow \tt \cos( \frac{1}{2}x ) = \cos( \frac{\pi}{3} ) \\ \\ \rightarrow \tt \frac{1}{2}.x = \frac{\pi}{3} \\ \\ \rightarrow \tt x = \frac{2\pi}{3}$

we can add 2 pi to it since there will be no change in the value

Also,

$\: \rightarrow \tt \cos( \frac{14\pi}{6} ) = \frac{1}{2} \\ \\ \\ \rightarrow \tt \frac{1}{2} x = \frac{14\pi}{6} \\ \\ \rightarrow \tt x = \frac{7\pi}{3}$

Answer : Option B

6 0

2 years ago

Suppose you can work at most a total of 25 hours per week. Baby-sitting, x, pays $6 per hour and working at the grocery store, y

Andrei [34K]

Answer:

y=7 number of hours at grocery store

x=18 number of hours at baby- sitting

Step-by-step explanation:

According to the information provided.

x is number of hours at baby- sitting

y is number of hours at grocery store

total number of hours worked

1) x+y =25

total earn in a week

2) x*$6 + y* $9 = $171

from equation 1

x+y=25

x= 25-y

we place the above derived equation in equation 2

x*$6 + y* $9 = $171

(25-y)*$6 + y* $9 = $171

(25*6) -6y +9y =171

150+3y=171

3y=171-150

3y=21

y=7 number of hours at grocery store

x= 25-y

x= 25-7

x=18 number of hours at baby- sitting

3 0

3 years ago

PLEASE FINISH QUICKLYYY!!!!!!

swat32

1) Area = leg(1) * leg(2) * .5 = 15 * 36 * .5 = 270

Perimeter = leg(1) + leg(2) + hypotenuse = 15 + 36 + 39 = 90

2) Area = leg(1) * leg(2) = 20 * 80 = 1600

3) Median (divides it in 1/2)

4) Both (divides it in 1/2 and makes a 90 degree angle w/ base)

5) Altitude (makes 90 degree angle w/ base)

6)sqrt(30^2 + 16^2) = sqrt( 900 + 256) = sqrt(1156) = 34

7) sqrt(24^2 + 18^2) = sqrt( 576 + 324) = sqrt(900) = 30

8) sqrt(40^2 + 96^2) = sqrt(1600 + 9216) = sqrt(10816) = 104

9) sqrt(150^2 - 90^2) = sqrt(22500 - 8100) = sqrt(14400) = 120

10) sqrt(35^2 - 25^2) = sqrt(1225 - 625) = sqrt(600) = 10sqrt(6), approx. 24.5

7 0

3 years ago