Answer: k ≤ -4 or k ≥
<u>Explanation:</u>
| 3k + 4 | ≥ 8
3k + 4 ≥ 8 or 3k + 4 ≤ -8
<u> -4</u> <u> -4 </u> <u> -4</u> <u>-4 </u>
3k ≥ 4 or 3k ≤ -12
<u>÷3 </u> <u>÷3 </u> <u> ÷3 </u> <u>÷3 </u>
k ≥
or k ≤ -4
Assuming the equation is x^2 + y^2 = 1, then that's a circle, with radius 1, centered on the origin [0,0].
So there are two tangents at x = 0. They are y = 1, and y = -1 (horizontal lines).
There is one tangent at x = 1. It is x = 1 (a vertical line).
There is no tangent at x = 35, because the original equation has no solution at x = 35.
Answer:
C
Step-by-step explanation:
the side with 12 and on the smaller triangle and the side with 16 on the larger triangle are corresponding.
Answer:
m<D = 105
Step-by-step explanation:
So, Triangle STU and DEF are similar triangles, because their corresponding side lengths have the same ratio.
For example FD can be multiplied by 2.5 to get SU, and EF can be multiplied by 2.5 to get TU, and ED can me multiplied by 2.5 to get 15.
Anyways, since the two triangles are similar, they have the same angle measures, meaning that angle D can be found by subtracting 46 and 25 from 180 degrees to find the missing angle, which is 105 degrees. I hope that helps.
1.
height= 3
length= 5
width= 4
The number of cubes would be the result of the multiplication of the side measures. Doing so, we have:
3 x 5 x 4 = 60
We need 60 blocks
2
height= 4
length= 6
width= 4
The number of cubes would be the result of the multiplication of the side measures. Doing so, we have:
4 x 6 x 4 = 96
We need 96 blocks
3
height= 2
length= 3
width= 4
The number of cubes would be the result of the multiplication of the side measures. Doing so, we have:
2 x 3 x 4 = 24
We need 24 blocks
4
height= 4
length= 8
width= 6
The number of cubes would be the result of the multiplication of the side measures. Doing so, we have:
4 x 8 x 6 = 192
We need 192 blocks
5
height= 2
length= 6
width= 4
The number of cubes would be the result of the multiplication of the side measures. Doing so, we have:
2 x 6 x 4 = 48
We need 48 blocks
6
height= 1
length= 5
width= 3
The number of cubes would be the result of the multiplication of the side measures. Doing so, we have:
1 x 5 x 3 = 15
We need 15 blocks
7