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Rzqust [24]
3 years ago
9

A line whose equation is 4y-12x=8 is dilated with a center at the origin by a scale factor of 2. Write the equation of this line

in slope-intercept form
Mathematics
1 answer:
leva [86]3 years ago
6 0

The required equation of the new line will be  y = 3x + 4

<h3>Equation of a line</h3>

Given the equation of a line expressed as 4y-12x=8

Get the x and y-intercept of the line

If x = 0

4y = 8

y = 2

The first coordinate will be at  (0, 2)

If y = 0

-12x = 8

x = -2/3

The second coordinate will be (-2/3, 0)

Dilating the coordinate by 2 will give (0, 4) and (-4/3, 0)

The slope of the new line will be expressed as:

m = -4 * 3/-4

m = 3

The y -intercept of the new line will be 4.

The required equation of the new line will be  y = 3x + 4

LEarn more on equation of a line here;   brainly.com/question/13763238

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ABC ~ADEF
Mandarinka [93]

Answer:

36

Step-by-step explanation:

EF = is 1/3 of 15

Since the triangles are similar, then the perimeters are similar.

The perimeter of EDF is 12

The perimeter of ABC should be 3 times as large.

3*12 = 36

The perimeter of ABC = 36

4 0
3 years ago
Daisy spent a total of $31 before tax on ice cream. the table below shows the different flavors she bought. a carton of strawber
notsponge [240]
The cost of 1 vanilla ice cream and 1 strawberry ice cream should total to $31. Since you only bought one of each flavor, you simply have to add their unit prices. 

Cost for 1 carton of strawberry ice cream + Cost for 1 carton of vanilla ice cream = Total Cost
Total Cost = s + v  --> this is the general equation

Since s = 1.5 + v, the modified equation would be
Total Cost = 1.5 + v + v
Total Cost = 1.5 + 2v
5 0
3 years ago
The difference between 3 times a number x and 2 is 19. What is the value of x? ​
Lisa [10]

Answer:

The answer is 7

7 0
3 years ago
Solve this problem using the Trigonometric identities (secA+1)(SecA-1)= tan^2A
sammy [17]

Step-by-step explanation:

( secA + 1)( sec A - 1)

Using the expansion

( a + b)( a - b) = a² - b²

Expand the expression

We have

sec²A + secA - secA - 1

That's

sec² A - 1

From trigonometric identities

<h3>sec²A - 1 = tan ²A</h3>

So we have the final answer as

<h3>tan²A</h3>

As proven

Hope this helps you

7 0
3 years ago
Read 2 more answers
Rewrite 2/7 and 1/4 so they have a common denominator
Zolol [24]
I think it’s 2/7=8/28 1/4=7/28
8 0
3 years ago
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