<span>So you have to take the derivative first of 9x^2+16y^2=52.
18x + (32y)(y') = 0
32y (y') = -18x
y' = -18x / 32y
plug in for 0, to find the slope which will get you - 9/16.
and you know that the tangent of the line formula is y - y1 = m (x -x1), and the problem gave you the points for y1 and x1.
so the line tangent is y = - 9/16 (x - 2) - 1
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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Shape A is congruent to shape D because a 180° rotation about the origin and then a translation 2 units right maps shape A onto it.
Shape B is congruent to shape E because a 90° clockwise rotation about the origin and then a translation 1 unit left maps shape B onto it.
0.65 x 10 = 6.5
0.65 is 10 times as much as 6.5
Answer:
The width of my neighbor,'s room is 18 feet
Step-by-step explanation:
My neighbor is buying new carpet for her bedroom floor. The length of the bedroom is 16 feet. The room has the shape of a rectangle. Although it was not mentioned, we can tell from the area of the room given. If the room was a square,all the sides would have been equal. Since it's a rectangle having length and width of different sizes.
Area = length × width
Area = 288 square feet
Length = 16 feet
Width = 288/16 = 18 feet
The width of the room is longer than the length of the room
If line k is parallel to line m and we know that parallel lines have equal slopes
the slope of line m is 2/3