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mihalych1998 [28]
2 years ago
5

Which of these is a point-slope equation of the line that is perpendicular to

Mathematics
1 answer:
stellarik [79]2 years ago
5 0

Answer:

D

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 3 = 4(x - 10) ← is in point- slope form

with slope m = 4

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{4}

The perpendicular line passes through (- 3, 7), hence

y - 7 = - \frac{1}{4}(x - (- 3)), that is

y - 7 = - \frac{1}{4}(x + 3) → D

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A father and his son decide to sum their age. The sum is equal to sixty years. Six years ago, the age of the father was five tim
arlik [135]

Answer:

20

Step-by-step explanation:

To solve this you have to make a system of equations.

Since the father and son's age sum up to 60, the first equation will be:

f + s = 60

Secondly, since the father's age is 5 times the age of the son 6 years ago the equation will be:

6 - (5s) = f

Now, you have to solve the first equation to let it equal to s

f + s = 60

f = 60 - s

Plug in

6 - 5s = 60 - s

     +s          +s

6 - 4s = 60

-6         -6

---------------------

-4s = 54

-----   -----

 -4     -4

   s ≅ 14

14 + 6 = 20

5 0
1 year ago
Read 2 more answers
Am I dealing with harmonic stuff (trig)?
pochemuha

You just need to solve for when y=0:

\dfrac{\cos8t-9\sin8t}4=0\implies\cos8t-9\sin8t=0

\implies\cos8t=9\sin8t

\implies\dfrac19=\dfrac{\sin8t}{\cos8t}=\tan8t

\implies8t=\tan^{-1}\dfrac19+n\pi

\implies t=\dfrac18\tan^{-1}\dfrac19+\dfrac{n\pi}8

where n is any integer. We only care about when 0\le t\le1, which happens for n\in\{0,1,2\}.

t=\dfrac18\tan^{-1}\dfrac19\approx0.01

t=\dfrac18\tan^{-1}\dfrac19+\dfrac\pi8\approx0.41

t=\dfrac18\tan^{-1}\dfrac19+\dfrac\pi4\approx0.80

8 0
3 years ago
What's one way to check the answer to 5×6=30
Alla [95]

Step-by-step explanation:

30÷6 =5 or 30÷5 =6 good luck!

7 0
2 years ago
Can someone help me with this math question WILL GIVE 20 POINTS. By the way it’s not 51.496
GrogVix [38]

Below is the formula for the circumference of a circle

C = 2πr

This question gives us the diameter. To find the radius (r) you would divide the diameter by two like so...

16.4/ 2  = 8.2

Plug what you know into the formula and solve...

π = 3.14

r = 8.2

C = 2(3.14)(8.2)

C = 6.28(8.2)

C = 51.496

In the question it asks to round to the nearest tenth like so...

51.5

Hope this helped!

~Just a girl in love with Shawn Mendes

4 0
3 years ago
Read 2 more answers
Shawn earns $12.75 per hour. How many hours does she need to work to earn $102 or more. Write and solve an inequality.​
astra-53 [7]
First we divide 102 by 12.75 to get the hours which is 8 hours. So it would take 8 hours
4 0
2 years ago
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