Answer:
Step-by-step explanation:
<u>Line a</u>
- y = 5x - 6, it has slope of 5
<u>Line b</u>
<u>Rewrite in slope-intercept form to find its slope:</u>
- 5y = -x + 5
- y = -1/5x + 1
- It has slope of -1/5
Lines have different slopes: 5 and -1/5, therefore are not parallel
Answer:
Option B is the correct answer
Step-by-step explanation:
<u>A line segment is a line drawn with two end points.</u>
1.) Option A is a point
2.) <u>Option B is a line segment</u>
3.) Option C is a ray
4.) Option D is a line
Hope this helps!
Answer:
2 2
4y(2y +3y - 5) - 3(2y + 3y - 5)
3 2 2
=8y + 12y - 20y - 6y - 9y + 15
3 2
=8y + 6y - 29y + 15
Step-by-step explanation:
9514 1404 393
Answer:
a) w(4w-15)
b) w²
c) w(4w -15) = w²
d) w = 5
e) 5 by 5
Step-by-step explanation:
a) If w is the width, and the length is 15 less than 4 times the width, then the length is 4w-15. The area is the product of length and width.
A = w(4w -15)
__
b) If w is the side length, the area of the square is (also) the product of length and width:
A = w²
__
c) Equating the expressions for area, we have ...
w(4w -15) = w²
__
d) we can subtract the right side to get ...
4w² -15w -w² = 0
3w(w -5) = 0
This has solutions w=0 and w=5. Only the positive solution is sensible in this problem.
The side length of the square is 5 units.
__
e) The rectangle is 5 units wide, and 4(5)-15 = 5 units long.
The rectangle and square have the same width and the same area, so the rectangle must be a square.
