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olganol [36]
3 years ago
10

Write an equation for a line that is perpendicular to the line 8x-4y=12 and passes throught the origin

Mathematics
1 answer:
scoundrel [369]3 years ago
3 0

Answer:

y= -\frac{1}{2}x

Step-by-step explanation:

First, let's put the line in y=mx+b form

8x-4y=12

Subtract 8x over

-4y= -8x+12

Then divide everything by -4

y=2x-3

To find the perpendicular slope, negate the slope and flip the numerator and the denominator

Original Slope: 2/1

Flip: 1/2

Negate: -1/2

Then, use the point slop formula to find the equation of the line.

(y-y_{1\\})=m(x-x_{1})

Insert (0,0) in for x_{1}  y_{1} and -1/2 in for m

y-0= -1/2(x-0)

Distribute the -1/2

y-0= -1/2x+0

Add the 0 over

y= -1/2x

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The chameleon grew .94 inches, and would need to grow .64 inches to be exactly 10 inches.
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What exact area of a circle with a radius of 6 feet?
Volgvan

Answer:


Step-by-step explanation:

3.14(pi) X 6 ^2 =

3.14*6 = 18.84

3.14x6^2 =36

your final answer is : B. : 36

7 0
3 years ago
A class of 20 boys and 15 girls is divided into n groups so that each group has x boys and y girls. Find x, y and n. what values
melamori03 [73]
20 = 2 x 2 x 5
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If there are more than one CD, then there are more than one answer.

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4 0
3 years ago
1. The sum of a two-digits number is 13. The tens digit is 8 less than twice the units digit. What is the number?
alexgriva [62]

Answer:

<u>The number is 67</u>

Step-by-step explanation:

<u>Equations</u>

Let's consider the number 83. The tens digit is 8 and the unit digit is 3. Note the tens digit's addition to the number is 80, and the unit's addition is 3. This means the tens digit adds 10 times its value, that is, 83 = 8*10 + 3.

Now, let's consider the number ab, where a is the tens digit, and b is the unit digit. It follows that

Number=10*a+b

The question gives us two conditions:

1) The sum of a two-digits number is 13.

2) The tens digit is 8 less than twice the units digit.

The first condition can be expressed as:

a + b = 13                     [1]

And the second condition can be written as:

a = 2b-8                      [2]

Replacing [2] into [1], we have:

2b-8 + b = 13

Operating:

3b = 13 + 8

3b = 21

Solving for b:

b = 21 / 3 = 7

Substituting into [2]:

a = 2*(7) - 8 = 6

Thus, the number is 67

3 0
3 years ago
What is the third angle of a triangle if the other two are (3x-20)° and (4x+10)°​
Karolina [17]

Answer:

The other angle is 190-7x.

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

Let A be the third angle.

A + (3x-20) + (4x+10) = 180

A = 180 - (3x - 20) - (4x + 10) = 190 - 7x

8 0
3 years ago
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