Answer:
The equation for the given line is y − 1 = 4(x + 3). Let us convert this equation in slope intercept form y= mx +b, where m is slope and b is the y-intercept. Thus, the slope of this line is 4.Now, we know that the slope of parallel lines are equal. Hence, the slope of the required line is same as the slope of the given line. Hence, the slope of the required line is m = 4It passes through the point (4,32).The point slope form of a line is given by Therefore the equation of the line is y = 4x+16,D is the correct option.
A rectangular floor covered without overlaps or gaps by 7 identical tiles, each of the length l and with w. If the w=12 ft, what is the total area of the floor?
Answer:
- 8, 15, 17 — yes
- 15, 20, 25 — yes
- 20, 48, 52 — yes
- 2, 9, 11 — no
- 39, 80, 89 — yes
Step-by-step explanation:
The squares of the three numbers in each of the given triples are listed. When the sum of the first two numbers is equal to the third, the set of numbers in the triple is a Pythagorean triple.
{64, 225, 289}, yes
{225, 400, 625}, yes — a 3,4,5 triple multiplied by 5
{400, 2304, 2704}, yes — a 5,12,13 triple multiplied by 4
{4, 81, 121}, no*
{1521, 6400, 7921}, yes.
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* the smallest set of integers that is a Pythagorean triple is {3, 4, 5}. The number 2 in this group tells you this cannot be a PT.
Answer:
525
Step-by-step explanation:
25 x 6 = 150; 150 / 2 =75; 75 x 7 = 525
