Answer:
x = 49
Step-by-step explanation:
Given the mathematical expression and data;
y = 1/√x
y = 7 and x = 64
First of all, we would find the constant of proportionality, k;
y = k/√x
7 = k/√64
7 = k/8
k = 7 * 8
k = 56
Next, to find the value of x, when y = 8
y = k/√x
Substituting the values, we have;
8 = 56/√x
Cross-multiplying, we have;
8 * √x = 56
√x = 56/8
√x = 7
Taking the square of both sides, we have;
(√x)² = 7²
x = 49
The result of the product of the sides of the triangles is 9
<h3>Shapes and Patterns</h3>
From the given diagram, you can see that the triangle and the shape circumscribed around it forms patterns given as:
- Product = sides of the triangle * number of sides of the circumscribed shape
For the circle and triangle
Product = 0 * 3
Product = 0
For the rectangle and triangle;
Product = 3 * 4
Product = 12
For the two triangles
Product = 3 * 3
Product = 9
Hence the result of the product of the sides of the triangles is 9
Learn more on shapes and patterns here: brainly.com/question/17386984
Answer:
x=3
Step-by-step explanation:
Answer:
y = -1, x = -2
Step-by-step explanation:
First, multiply the top equation by 2 to make 3x become 6x:
6x - 8y = -4
Second, multiply the bottom equation by 3 to make -2x become -6x:
9y - 6x = 3
Add the two equations together, and you get:
y = -1
Plug in y as -1 into the first or second equation:
3x - 4(-1) = -2
OR
3(-1) - 2x = 1
x = -2
