Answer:
2a-6b+6c
Step-by-step explanation:
Combine like terms
Answer:
The image of the point (1, -2) under a dilation of 3 is (3, -6).
Step-by-step explanation:
Correct statement is:
<em>What are the coordinates of the image of the point (1, -2) under a dilation of 3 with the origin.</em>
From Linear Algebra we get that dilation of a point with respect to another point is represented by:
(Eq. 1)
Where:
- Reference point with respect to origin, dimensionless.
- Original point with respect to origin, dimensionless.
- Dilation factor, dimensionless.
If we know that
,
and
, then the coordinates of the image of the original point is:
![\vec P' = (0,0) +3\cdot [(1,-2)-(0,0)]](https://tex.z-dn.net/?f=%5Cvec%20P%27%20%3D%20%280%2C0%29%20%2B3%5Ccdot%20%5B%281%2C-2%29-%280%2C0%29%5D)


The image of the point (1, -2) under a dilation of 3 is (3, -6).
Answer:
The answer is below
Step-by-step explanation:
A tangent is a line which touches a circle at one point. The angle between a tangent and a circle is 90°.
The two tangent theorem states that tangent that meet at the same point are equal in length.
Therefore:
CD = c + d
but c = 5.1, hence:
CD = 5.1 + d
12.1 = 5.1 + d
d = 7
AD = a + d; but AD = 12.2, d = 7
12.2 = a + 7
a = 5.2
AB = a + b; but b = 3.3
AB = 5.2 + 3.3 = 8.5
BC = b + c = 3.3 + 5.1 = 8.4
Perimeter of ABCD = AB + BC + CD + AD = 8.5 + 8.4 + 12.1 + 12.2 = 41.2
Answer:
<o=180-132=48
so,<s=24(The angle at the circumference is half of its corresponding angle at center)
Answer:
JT=19
Step-by-step explanation:
3x+6+3x+7=37
6x+6+7=37
6x+13=37
-13 -13
6x=24
6x/6=24/6
x=4
3x+7
3(4)+7
12+7
JT=19