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Trava [24]
2 years ago
8

Determine the standard form of the equation of the line that passes through (-7,8) and (0,2)

Mathematics
1 answer:
SpyIntel [72]2 years ago
6 0

B is the right answer according to the result of the equation. "<em>Thanks</em><em> </em><em>me</em><em>"</em><em> </em>if i've been helpful

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Two trapeziums are similar, thee area of one of the trapezium is 4times that of the other. Determine the ratio of the perimeter
Stolb23 [73]

Answer:

The ratio of the perimeters of the two trapezium is 2

The ratio of the corresponding sides of the two trapezium is 2

Step-by-step explanation:

The given parameters in the question are;

Two trapeziums are similar

The area of one trapezium = 4 × The area of the other trapezium

Let, A₁, and A₂ represent the area of the two trapeziums, we have

A₁ = 4 × A₂

∴ A₁/A₂ = 4

Given that ratio of areas = (Ratio of sides)²

Ratio of sides = Ratio of perimeter

∴ Ratio of areas = (Ratio of perimeter)²

Therefore, given that the ratio of the areas of the two trapeziums A₁/A₂ = 4, we have;

Ratio of areas = 4 = (Ratio of sides)²

The ratio of the corresponding sides = √4 = 2

The ratio of the corresponding sides = 2

Ratio of areas = 4 = (Ratio of perimeter)²

The ratio of the perimeter = √4 = 2

The ratio of the perimeter = 2

3 0
2 years ago
Find the value of n so that the line perpendicular to the line with the equation -2y + 4 = 6x + 8 passes through the points at (
kolezko [41]
If the line must be perpendicular to the equation, that means the slope is the reciprocal of the one in the given equation. So first we find that, the slope of the given equation. 

- 2y + 4 = 6x + 8
- 2y = 6x + 4
 
y = - 3x - 2

So the slope of the given equation is - 3x. That means the slope of our perpendicular equation must be 1/3x 

Now to find the value of n, plug in our given information and perpendicular slope into the slope equation:

Slope = (Y₂ - Y₁ ) / (X₂ - X₁)

1/3 = (- 8 - (-4)) / (2 - n)
1/3 = (- 8 + 4) / (2 - n)
1/3 = ( - 4) / (2 - n)

Multiply both sides by (2 - n) to get the binomial out of the denominator

(1/3)(2 - n) = - 4

Multiply both sides by 3 to isolate the binomial

2 - n = - 4(3)
2 - n = - 12

Subtract 2 from both sides to isolate the variable

- n = - 14

Divide by - 1 to get rid of the negative.

n = 14. Your coordinate is ( 14, - 4)

Now to find the equation that is perpendicular. 

y = 1/3x + b

Plug in either of the coordinates. I'm going to use the ordered pair we just found. 

- 4 = 1/3(14) + b
- 4 = 14/3 + b
- 12/3 = 14/3 + b

Subtract 14/3 on both sides.

- 26/3 = b

Your equation is y = 1/3x - 26/3


6 0
3 years ago
The slope of a vertical line is<br> The slope of a horizontal line is
kvasek [131]
The slope of a horizontal line =0 not undefined the slope of a vertical line= undefined
3 0
2 years ago
I will mark brainliest please help
amid [387]
DGE, it’s a vertical angle
4 0
2 years ago
Which ordered pair is the solution to the system of equations?
Tcecarenko [31]
The best way to answer this item is to use the Substitution method. Substitute the value of y from the first equation to the y of the second equation such that the second equation becomes,

     -4x + 3(x - 4) = -3

Simplifying the equation,
    -x = 9

Dividing both sides by -1 gives an answer of,
   <em>x = -9</em>

Then, substitute the value of x in the first equation.
    y = -9 - 4
   <em> y = -13</em>

The answer to this item is letter B. 


6 0
2 years ago
Read 2 more answers
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