Answer: r+7 is irrational
Step-by-step explanation:
1) If r is irrational, that means that it goes on and on forever.
2) 7 is a rational number because it can be expressed as a quotient of 2 integers (7÷1=7)
3) If you add a rational number to an irrational number it is still irrational. The numbers after the decimal point keep going and going. You are just changing the whole number, which if to the left of the decimal point.
7•x=x-15
I think this would work, if I understood what you were saying correctly.
The figure gives a dimension for the hypotenuse of 19
the height is given as 17, using the Pythagorean theorem we can find the base of the triangle:
19^2 = 17^2 + base^2
Simplify:
361 = 289 + base^2
Subtract 289 from both sides:
72 = base^2
Take the square root of both sides:
Base = 8.49 Round to 8.5
There are two identical triangles on each sides, so 8.5 x 2 = 17
The length of the two triangle bases is 17
The total base of the object is 31, so the length of the rectangular part in the middle would be 31 - 17 = 14
And X would be the same length as the bottom rectangle.
Therefore x = 14
Answer:
1/2
Step-by-step explanation:
18 inches is 1 1/2 ft
so 1/2 since it is half a yard
Answer:
<u>x-intercept</u>
The point at which the curve <u>crosses the x-axis</u>, so when y = 0.
From inspection of the graph, the curve appears to cross the x-axis when x = -4, so the x-intercept is (-4, 0)
<u>y-intercept</u>
The point at which the curve <u>crosses the y-axis</u>, so when x = 0.
From inspection of the graph, the curve appears to cross the y-axis when y = -1, so the y-intercept is (0, -1)
<u>Asymptote</u>
A line which the curve gets <u>infinitely close</u> to, but <u>never touches</u>.
From inspection of the graph, the curve appears to get infinitely close to but never touches the vertical line at x = -5, so the vertical asymptote is x = -5
(Please note: we cannot be sure that there is a horizontal asymptote at y = -2 without knowing the equation of the graph, or seeing a larger portion of the graph).
