Since the whole figure including all the points is enlarged at the same time, the dilated figure will still have the same slope and that includes the fact that point T is still in line Y'Z'. The slope or shape does not change, only the size alters.The center of dilation is still at Point T in this case.
a) Cube area = 6a^2
a = 6(5.25)^2
5.25 * 5.25 = 27.5625 * 6 = 165.375
Rounded, thats 165.38
b) Rectangular prism area = 2(wl + hl + hw)
Lets say l = 6.8, w = 8.2, h = 10
It equals about 441.52
3x+y=4 (y=-3x+4)
Plug it in for y x+2(-3x+4)=-2
x=2
Plug in for x 2+2y=-2
y=-2
Solution: (2,-2)
We have that
x²<span> + 3x = 24
</span><span>Group
terms that contain the same variable
</span>(x² + 3x) = 24
<span>Complete
the square. Remember to balance the equation by adding the same constants
to each side
</span>(x² + 3x+2.25) = 24+2.25
Rewrite as perfect squares
(x+1.5)² = 26.25
(+/-)[x+1.5]=5.12
(+)[x+1.5]=5.12----> x=5.12-1.5---> x=3.62
(-)[x+1.5]=5.12-----> x=-1.5-5.12---> x=-6.62
the answer is<span>
3.62, –6.62</span>
Answer:
26 over 3 =2
------ = 8.667
3
Convert mixed number to improper fraction
5 and 3 over 45
3
4
= ( 5 × 4 ) over 4
5 × 4
4
+ 3 over 4
3
4
= ( 20 + 3 ) over 4
20 + 3
4
= 23 over 4
23
4
Step 1 of 2: Add, sub-step b: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
2 and 11 over 122
11
12
= ( 2 × 12 ) over 12
2 × 12
12
+ 11 over 12
11
12
= ( 24 + 11 ) over 12
24 + 11
12
= 35 over 12
35
12
Step 1 of 2: Add, sub-step c: Find common denominator.
Find common denominator
23 over 4
23
4
+ 35 over 12
35
12
= ( 23 × 3 ) over ( 4 × 3 )
23 × 3
4 × 3
+ ( 35 × 1 ) over ( 12 × 1 )
35 × 1
12 × 1
= 69 over 12
69
12
+ 35 over 12
35
12
12 is the least common multiple of denominators 4 and 12. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 2: Add, sub-step d: Add.
Add
69 over 12
69
12
+ 35 over 12
35
12
= ( 69 + 35 ) over 12
69 + 35
12
= 104 over 12
104
12
