The answer is less than :)
4x - 2y = 10
y = 2x - 5
Because we have a value for y, we can plug it into the first equation to solve for x.
4x - 2(2x - 5) = 10
Distributive property.
4x - 4x + 10 = 10
Combine like terms.
<h3>10 = 10</h3><h3>The equation is true, and so there are infinite solutions, meaning both lines are on top of each-other. </h3>
(<em>a</em> ² + <em>b</em> ²) / (<em>ab</em>) = <em>a</em>/<em>b</em> + <em>b</em>/<em>a</em> = (√3 - √2) + 1/(√3 - √2)
Rationalize the denominator of the second term:
1/(√3 - √2) • (√3 + √2)/(√3+√2) = (√3 + √2)/((√3)² - (√2)²) = √3 + √2
So we have
(<em>a</em> ² + <em>b</em> ²) / (<em>ab</em>) = (√3 - √2) + (√3 + √2) = 2√3
Answer: 6 and 7
Step-by-step explanation:
Let the numbers be x and x + 1
We can form and equation as:
2(x²) + (x+1)² = 121
2x² + (x + 1)(x + 1) = 121
2x² + x² + x + x + 1 = 121
3x² + 2x = 121 - 1
3x² + 2x = 120
3x² + 2x - 120 = 0
3x² - 18x + 20x - 120 = 0
3x(x - 6) + 20(x - 6)
Therefore, x - 6 = 0
x = 0 + 6
x = 6
The numbers are 6 and 7
Answer:
That is a counterclockwise rotation of 90 degrees about the origin.
Step-by-step explanation:
Take a point on the figure near to the origin and you can imagine the rotation and how it gets to the image.
