Answer:
1. distance = sqrt( (7-7)^2+(2- -8)^2) = 10
2. check out desk (0,0 ) => distance = sqrt( (0- -9)^2+(0-0)^2) = 9
3. last corner ( -3, 4)
4. area = sqrt( (-10- -10)^2+(10-4)^2) x sqrt( (-3- -10)^2+(10-10)^2) = 6x7 =42
5. check desk (0,0), south direction = negative y axis => P_beginning (0,-20), P_end (0,-(20+25)) = (0,-45)
6. A(-2,-1) and B(4,-1) lie in y =-1. AB = sqrt( (-2- 4)^2+(-1- -1)^2) =6
=> area = 3.6x6 =21.6
=> peri = 2x(3.6+6) = 19.2
7. A(-5,4) and B(2,4), AB = sqrt( (-5- 2)^2+(4- -4)^2) = 7 => AB is base
=> p = peri = 7+ 8.3x2 = 23.6
=> area = sqrt[px(p-7)x(p-8.3)x(p-8.3)]
=sqrt[23.6x(23.6-7)x(23.6-8.3)x(23.6-8.3)] = 302.8
Answer:
8√21
Step-by-step explanation:
A rectangle has 2 congruent pairs. Those 2 pairs are ST/RU and SR/UT. If that is the case, then that means UV is 5 and SV is also 5. Now we have triangle SRU with a hypotenuse of 10 and a side of 4. Pythagorean Theorem:
4² + b² = 10²
b² = 84
b = 2√21
Segment SR is then equal to b. Now we move on to the area formula:
(2√21)(4) = 8√21
And that is your final answer.
Answer:
8y = -6
Step-by-step explanation:
Simply add the equations as you would numbers.
The 'x's cancel each other out. The 'y's add together as normal numbers.
9 + (-15) = -6
Hope that this helps!
Answer:
D y-8 +2 ≤ -2+2
Step-by-step explanation:
y-8 ≤ -2
Add 2 to each side
y-8 +2 ≤ -2+2
Answer:
Scalene obtuse.
Step-by-step explanation:
Scalene means that none of the sides are the same. You can tell by looking at the triangle that none of the sides are the same. An obtuse triangle is a triangle with one obtuse angle. It is a close call between obtuse and right, but I believe that I can definitely say that the angle is a little more than 90 degrees, and is therefore obtuse.
