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Oliga [24]
2 years ago
5

A line passes through the point (12,–4) and is perpendicular to the line with the equation y = 6x + 3. What's the equation of th

e line?
Mathematics
1 answer:
Alex_Xolod [135]2 years ago
3 0

I'm just gonna so you how I got it

Step-by-step explanation:

6x - 3y - 5 = 0 has slope 6/3 = 2. A perpendicular line will have slope -1/2 (since slopes of two perpendicular lines must have a product of -1), so its general form will be 3x + 6y - a = 0.

Now to find a. We know a point on the line, (4,10), and so we plug those coordinates in:

3*4 + 6*10 - a = 0

12 + 60 - a = 0

72 = a

3x + 6y - 72 = 0.

We can simplify this by dividing all numbers by 3, getting:

x + 2y - 24 = 0

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If the surface area of a cube is 294, whats the length of the cube?
tatyana61 [14]

Answer:

7

Step-by-step explanation:

Total number of surfaces of cube are 6.

Each surface is square.

And area of square is (side)^2

That means, total surface area will be 6 * (side)^2

From question,

294 = 6 * (side)^2 ( Surface area given)

=> 294 ÷ 6 = ( side) ^2

=> 49 = side^2

=> √49 = side

=> 7 = side

So, length of edge of cube is 7

7 0
2 years ago
You can think about the word ‘of’ when you multiply.
Vlada [557]

Answer:

23 \: of \: 6 \\ 23 \times 6 \\  =  >  \frac{ \binom{23}{ \times 6} }{138}  \\ 23 \: of \: 6 = 138

4 0
2 years ago
Read 2 more answers
One angle of a parallelogram measures 45°. What are the measures of the other three angles
Sergeu [11.5K]

Answer: 135, 45, and 135 are the three other angles

==================================================

Explanation:

For a parallelogram, we'll have opposite angles with the same measure. So if one angle is 45 degrees, then the opposite angle is also 45 degrees. The other two angles are 180-45 = 135 degrees each. Adjacent angles in a parallelogram add to 180 degrees.

8 0
2 years ago
Round each number to the nearest 10 and 100. 734,102,483
11111nata11111 [884]
734: 730 and 700.

102: 100 and 100.

483: 480 and 500.

There you go! ^w^
8 0
2 years ago
What is 1/4 divided by 2/5
Marat540 [252]
1/4 divided by 2/5 is 0.025.

If correct please mark Brainliest.
7 0
3 years ago
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