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Trava [24]
3 years ago
10

He given line passes through the points (−4, −3) and (4, 1).

Mathematics
2 answers:
stepan [7]3 years ago
7 0
The line through the two given points has slope
.. (1 -(-3))/(4 -(-4)) = 4/8 = 1/2

The perpendicular line will have a slope that is the negative reciprocal of that,
.. -1/(1/2) = -2

So, the point-slope equation of your line is
.. y -3 = -2(x +4)

Veseljchak [2.6K]3 years ago
5 0
The correct one is y+3=1/4(x+4)
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The surface area of a cylinder?
ioda

Answer:

18. 84 ft² or 18.85 ft² when rounded to the nearest tenth

Step-by-step explanation:

2πrh+2πr²

2× 3.14 × 1 × 2= 12.56

2 × 3.14 × 1² = 6.28

12.56 + 6.28 = 18.84

Have a great day :)

7 0
2 years ago
Read 2 more answers
If 2(4x + 3)/(x - 3)(x + 7) = a/x - 3 + b/x + 7, find the values of a and b.
zmey [24]

Answer:

a=3 and b=5.

Step-by-step explanation:

So I believe the problem is this:

\frac{2(4x+3)}{x-3}(x+7)}=\frac{a}{x-3}+\frac{b}{x+7}

where we are asked to find values for a and b such that the equation holds for any x in the equation's domain.

So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).

In other words this will clear the fractions.

\frac{2(4x+3)}{x-3}(x+7)}\cdot(x-3)(x+7)=\frac{a}{x-3}\cdot(x-3)(x+7)+\frac{b}{x+7}(x-3)(x+7)

2(4x+3)=a(x+7)+b(x-3)

As you can see there was some cancellation.

I'm going to plug in -7 for x because x+7 becomes 0 then.

2(4\cdot -7+3)=a(-7+7)+b(-7-3)

2(-28+3)=a(0)+b(-10)

2(-25)=0-10b

-50=-10b

Divide both sides by -10:

\frac{-50}{-10}=b

5=b

Now we have:

2(4x+3)=a(x+7)+b(x-3) with b=5

I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.

2(4\cdot 3+3)=a(3+7)+b(3-3)

2(12+3)=a(10)+b(0)

2(15)=10a+0

30=10a

Divide both sides by 10:

\frac{30}{10}=a

3=a

So a=3 and b=5.

4 0
3 years ago
Read 2 more answers
What is 10+2p=12+1.5p <br> p=
Allushta [10]

Answer:

p=4

Step-by-step explanation:

5 0
2 years ago
Write the equation in standard form<br><br> y = -10x + 6
Mumz [18]
Step (1) Flip the equation

−10x+6=y


Step (2) Add -6 to both sides

−10x+6+−6=y+−6

−10x=y−6

Step (3) Divide both sides by -10

−10x−10=y−6−10

ANSWER
x =  \frac{ - 1}{10} y +  \frac{3}{5}
5 0
3 years ago
What is the area of is circle? <br> (circle is 4cm)<br> Area= ? cm[2]
elena-14-01-66 [18.8K]

Answer:

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