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olganol [36]
2 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]2 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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Identify a sequence of transformations that maps triangle ABC onto triangle A"B"C" in the image below.
Murljashka [212]

Answer:

The correct option is B.

Step-by-step explanation:

It is given that triangle A"B"C" is the image of triangle ABC after transformation.

From the given figure it is noticed that the point C lies on positive y-axis and point C" lies on negative x-axis.

It means the figure is rotated either counterclockwise 90° or clockwise 270°. The rotation rule is

(x,y)\rightarrow (-y,x)

The corresponding sides of image A"B"C" are smaller than the preimage ABC.  

k=\frac{A"B"}{AB}=\frac{3}{6}=\frac{1}{2}

Since k<0, therefore the transformation shows the reduction. The dilation rule is

(x,y)\rightarrow (-\frac{1}{2}y,\frac{1}{2}x)

A(-3,0)\rightarrow (-\frac{1}{2}(0),\frac{1}{2}(-3))\rightarrow (0,-1.5)

B(3,0)\rightarrow (-\frac{1}{2}(0),\frac{1}{2}(3))\rightarrow (0,1.5)

C(0,5.2)\rightarrow (-\frac{1}{2}(5.2),\frac{1}{2}(0))\rightarrow (-2.6,0)

Option B is correct.

4 0
3 years ago
Read 2 more answers
Carmen wants to install a fence . each section of fence is 2.4 metres long and cost $6.00 pre metre. Carmen will need 16 section
White raven [17]
For this case, the first thing we must do is calculate the total cost.
 We have then:
 C = (16) * (2.4) * (6)
 C = 230.4 $
 Then, the change it receives is given by:
 250 - 230.4 = 19.6 $
 Answer:
 He
 has received 19.6 $ from $ 250
5 0
3 years ago
Please help, show your work!
Ne4ueva [31]
2, 15, and 1 would work

4 0
3 years ago
Identify the correct logical reason for the next step in solving this equation. 3(2 − 3x) + 4x = x − 7 Question 2 options: Multi
suter [353]

Answer:

Distributive property

Step-by-step explanation:

3(2 − 3x) + 4x = x − 7

Distribute the 3 to each term in the parentheses using the distributive property

6 -9c +4x = x-7

6 0
3 years ago
What is the addition property of equality in the equation 6x-9=45
Lera25 [3.4K]

The addition property of equality is used when we add 9 to both sides

6x-9 = 45

6x-9+9 = 45+9

6x = 54

The next step would be to divide both sides by 6 using the division property of equality

6x = 54

6x/6 = 54/6

x = 9

5 0
3 years ago
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