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
So you know:
1) There are 180° in a triangle.
2) A straight line is also 180°.
So the three angles in the triangle are
2x, 103-x, and (180-(6x-7)).
Solve for x!
2x + 103-x + (180-(6x-7)) = 180
2x + 103-x + 180-6x+7 = 180
-5x = -110
x = 22
Log₄(y+2) = 3, transform it into exponent form:
(y+2) = 4³
y+2 = 64
y= 62
In step 1, the commutative property of addition is used since x + 5 is just equal to 5 + x
In step 2, the associative property of addition is used since x is grouped to the last term.
In step 3, the distributive property of multiplication is used since 3 is multiplied to the terms inside the parenthesis.
In step 4, multiplication is done.
