Answer:
Hi there!
Your answer is:
<em>8</em><em>.</em><em>6</em><em> </em><em>units</em>
Step-by-step explanation:
The distance formula is
√ ( (x2-x1)^2 + (y2-y1)^2 )
In your points:
A (-3, -2)
-3 is x1
-2 is y1
B (4, -7)
4 is x2
-7 is y2
Plug in to distance formula
√ ( 4-( -3))^2 + ( -7 - (-2))^2
√ (4+3)^2 + (-7+2)^2
√ (7^2) + ( -5)^2
√ 49 + 25
√ 74
This equals roughly 8.6 units!
We know that
Rigid transformation:
A rigid transformation (also called an isometry) is a transformation of the plane that preserves length.
Reflections, translations, rotations, and combinations of these three transformations are "rigid transformations"
so, it's length must be preserved
now, we will check each option
option-A:
we have (x,3y)
y-value changes but x-value will remain same
It changes length
so, this is not rigid transformation
option-B:
we have (3x,y)
x-value changes but y-value will remain same
It changes length
so, this is not rigid transformation
option-C:
(2x, y+2)
It changes length of x-value
but it is only shifting y-value
so, it changes length
so, this is not rigid transformation
option-D:
Both shifts values
but it's length will always be same
so, this is rigid transformation..............Answer
Answer:
57.5 mi
Step-by-step explanation:
1 in = 5 mi
11.5 × 5 = 57.5 mi
Answer:
a)
grams
b)
grams
c)
decigrams
d)
milligrams
Step-by-step explanation:
a)
To convert centigrams to grams you have to divide by 100.
centigrams =
grams
=
grams
b)
To convert milligrams to grams you have to divide by 1000.
milligrams =
grams
=
grams
c)
To convert grams to decigrams you have to multiply by 10.
grams =
decigrams
=
decigrams
d)
To convert grams to milligrams you have to multiply by 1000.
grams =
milligrams
=
milligrams
Answer: 33.85
Step-by-step explanation: Add them up