Answer:
It would be 15 inches.
Step-by-step explanation:
Because the windows have to have the same area, you would have to make the base x height equal to 90. 90 divided by 6 is 15
Answer:
Step-by-step explanation:
The general equation of a circle with center at (h, k) and radius r is
(x - h)^2 + (y - k)^2 = r^2. You seem to be referring to "the y-coordinate of the center of the circle," that is, h in (h, k).
Yes, if you move a circle vertically, the y-coordinate of the center changes.
It's unclear what you're asking for help with. Please try to be more specific next time.
Answer:
(i) Not true for any cases, (ii) True for some cases, (iii) True for some cases, (iv) True for all cases.
Step-by-step explanation:
Now we proceed to check each statement in terms of concepts of function from Analytical Geometry:
(i) <em>Two lines that have the same y-intercept and the same slope intersect at exactly one point. </em>
False, two lines that have the same y-intercept and the same slope intersect at every point. Both lines are coincident. (Answer: Not true for any cases)
(ii) <em>Two lines that have the same y-intercept intersect at exactly one point. </em>
Conditionally true, two lines that have the same y-intercept intersect at exactly one point if and only if slopes are different. (Answer: True for some cases)
(iii) <em>Two lines that have the same slope do not intersect at any point. </em>
Conditionally true, two lines that have the same slope do not intersect at any point if and only if they share the same y-intercept. (Answer: True for some cases)
(iv) <em>Two lines that have two different slopes intersects at exactly one point.</em>
True, two lines that have two different slopes intersects at exactly one point no matter what y-intercepts they have. (Answer: True for all cases)
Answer:
We'll use the traditional "slope" formula, evaluating

To find f(5), plug in x = 5 to f(x).
3(5)^3 + 2 = 377
Same thing for f(3)
3(3)^3 + 2 = 83
So

Answer:
x = 10
Step-by-step explanation:
Given
+ 13 =
( multiply through by 10, the LCM of 5 and 2 to clear the fractions )
2x + 130 = 15x ( subtract 2x from both sides )
130 = 13x ( divide both sides by 13 )
10 = x