The area is 186.03. lw = 15.9(11.7) = 186.03
Answer:
The answer is y = 5x +2
Step-by-step explanation:
Answer:
The length of the segment AB is √48
Step-by-step explanation:
Given the two equations, the idea is to find the solution to the system
y = x² + 9
y = 2x² - 3
you can use the equality method to find the "x" and "y" of the solution.
x² + 9 = 2x² - 3 ⇒ x² - 2x² = -3 - 9 ⇒ -x² = -12 ⇒ x² = 12 ⇒ x = ±√12.
With this value we return to the original equations and replace it to find "y" values.
y = (±√12)² + 9 ⇒ y = 21
The solutions to the system are (-√12, 21) and (√12, 21). Now you need to find the distance between this points.
d= √[(x2-x1)² + (y2-y1)²] ⇒ d = √48.
The length of the segment AB is √48.
The answer to question #1 is x = 7
For a line to be parallel to x = 8, it has to start with x = some number. Such a line would have an undefined slope.
Now, x = y is a line that goes through the origin. It has a slope of 1.
The answer to question #2 is y = 7
If a line is perpendicular to x = some number, then it has to be y = some number.
And this perpendicular line has to go through the point (4,7). So what is the y-value of this point, since the equation starts with y? The y-value is 7. So the equation has to be y = 7
4.15, 6.3, 8.45, 10.6, 12.75
The rule is to add 2.15 to each number in the sequence