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Reika [66]
3 years ago
10

Write the equation of the perpendicular line with the points (-9,2) with the equation 3x-y=12

Mathematics
1 answer:
DedPeter [7]3 years ago
6 0

Answer:

y=-1/3x-1

Step-by-step explanation:

Perpendicular lines have slope that are opposite sign and reciprocals

3x-y=12 has a slope of 3, therefore perpendicular line must have slope of -1/3

2=-9(-1/3)+b

2=3+b

b=-1

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In circle J with \text{m} \angle HLK= 30^{\circ}m∠HLK=30
olga2289 [7]

Answer:

The minor arc HK is 60 degrees

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The inscribed angle is half that of the arc it comprises.

so

m\angle HLK=\frac{1}{2}(arc\ HK)

we have

m\angle HLK=30^o

substitute the given value

30^o=\frac{1}{2}(arc\ HK)

arc\ HK=60^o

Remember that the measure of the minor arc must be less than 180 degrees

therefore

The minor arc HK is 60 degrees

8 0
3 years ago
How do you find the value of x for this figure?
Studentka2010 [4]
The 2 lines intersect, and by definition it will create equal opposite angles.  Since we know that the angle created is 125 degrees, then the angle on the opposite side also must equal 125 degrees.  But wait, they broke up the angle into 2 angles made up of a 64 degree angle and an X degree angle.  These 2 angles must add up to 125 degrees.

x + 64 = 125
x = 125 - 64
x = 61 degrees
6 0
3 years ago
Find the maximum value or minimum value for the function f(x) = 0.15(x + 1)² - 3.
il63 [147K]

Answer:

The minimum value for  f(x) = 0.15(x + 1)^2 - 3 is -3.

Step-by-step explanation:

Given function is f(x) = 0.15(x + 1)^2 - 3

We need to find the maximum value or the minimum value for the function.

Now, differentiate f(x) = 0.15(x + 1)^2 - 3  w.r.t x.

f'(x) =\frac{d}{dx}(0.15(x + 1)^2 - 3)\\f'(x)=\frac{d}{dx}(0.15(x+1)^2-\frac{d}{dx}(3)\\

f'(x)=2\times 0.15(x+1)\frac{d}{dx}(x+1)-0\\f'(x)=0.3(x+1)(1)\\f'(x)=0.3(x+1)

Now, we will equate f'(x)=0 to find critical point.

0.3(x+1)=0\\x=-1

Plug this critical point in to the function f(x) = 0.15(x + 1)^2 - 3  we get,

f(-1) = 0.15(-1 + 1)^2 - 3\\f(-1)=-3

Also, f''(x)=0.3 which is positive, We have minimum value.

So, the minimum value for  f(x) = 0.15(x + 1)^2 - 3 is -3.

7 0
3 years ago
Find the volume of a rectangular prism with the following dimension 2cm by 3cm by 4cm
Dafna11 [192]

Answer:

24 cm³

Step-by-step explanation:

V = LWH = 2 × 3 × 4 cm³ = 24 cm³

8 0
2 years ago
Read 2 more answers
Enter the unknown value that makes this statement true: 20% of ? is 40. ​
elixir [45]

Answer: 20% of 200= 40

Hope this helps

3 0
3 years ago
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