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Alinara [238K]
3 years ago
6

The variables x and y vary directly. Use the values to find the constant of proportionality and write an equation that relates x

and y. y=8; x=2
Mathematics
1 answer:
Leya [2.2K]3 years ago
3 0

Answer:

y = 4x

Step-by-step explanation:

If y is directly proportional to x (which is what I assume you are meaning in this question), this means that

y = kx, where k is the constant of proportionality.

To find k, we simply substitute in the given x and y values, and solve for k. i.e we to get:

8 = k x 2.

k = 8/2 = 4.  

so y = 4x

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Identify the segment bisector of XY.
Ganezh [65]

Given the image attached, the segment bisector that divides XY into two and the length of XY are as follows:

  • Segment bisector of XY = line n
  • Length of XY = 6

<em><u>Recall:</u></em>

  • A line that divides a segment into two equal parts is referred to as segment bisector.

In the diagram attached below, line n divides XY into XM and MY.

Thus, the segment bisector of XY is: line n.

<em><u>Find the value of x:</u></em>

XM = MY (congruent segments)

  • Substitute

5x + 8 = 9x + 12

  • Collect like terms and solve for x

5x + 8 = 9x + 12\\5x - 9x = -8 + 12\\\\-4x = 4\\\\x = -1

XY = XM + MY

XY = 5x + 8 + 9x + 12

  • Plug in the value of x

XY = 5(-1) + 8 + 9(-1) + 12\\\\XY = -5 + 8 -9 + 12\\\\\mathbf{XY = 6}

Therefore, given the image attached, the segment bisector that divides XY into two and the length of XY are as follows:

  • Segment bisector of XY = line n
  • Length of XY = 6

Learn more here:

brainly.com/question/19497953

3 0
2 years ago
Solve this root2x-7 =7
Karo-lina-s [1.5K]
-14??
Idek tbh it’s kinda hard
5 0
2 years ago
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The ages in years of three brothers are consecutive. The sum of their ages is 39 decreased by the age of the youngest. What are
Sati [7]
Their ages are 18, 19, and 20 bc we is gud at maths boi
4 0
2 years ago
A triangle's height is 10 feet more than its base. If the area of the triangle is 100 square feet, use factoring to find its dim
stiks02 [169]

The base length of the triangle is 10 ft. and the height of the triangle is 20ft.

Step-by-step explanation:

Height = base + 10

Area = 100 square ft

Area of a triangle= (1/2) (b) (h)

100 = (1/2) (b) (b + 10)

200 = b(b) + 10b

b(b) + 10b - 200 = 0

b(b) + 20b - 10b - 200 = 0

b ( b + 20) -10(b + 20) = 0

(b-10) (b+20) =0

b = 10 (or) b = -20

Here b is the length and cannot be negative.

So, b = 10ft

h = b + 10

h = 10 + 10

h = 20 ft.

The base length of the triangle is 10 ft. and the height of the triangle is 20ft.

6 0
3 years ago
If f(x)= 4-2x and g(x)=6x which expression is equivalent to (g-f)(3)
Dmitrij [34]

Answer:

(g-f)(3) = 20

Step-by-step explanation:

g(3)=6 * (3) = 18

f(3)= 4-2(3) = 4 - 6 = -2

So

(g-f)(3) = 18 - (-2) = 20

4 0
3 years ago
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