Answer:
the answer is 529
Step-by-step explanation:
divide 7,406 and 14 and the answer is 529
Answer:
It is rigid because all side lengths and angles are congruent.
Step-by-step explanation:
2 triangles have identical side lengths and angle measures. The second triangle is rotated slightly to the left. It is a rigid motion.
Definition of rigid motion : -
The performance of any combination of the following actions, namely - translation, rotation or/ and reflection keeping the size and shape of a geometric body constant is called performing 'Rigid motion'.
Answer:
Step-by-step explanation:
Given the following vectors a = (-3,4) and b = (9, -1)
|a| and |b| are the modulus of a and b respectively.
|a| = √(-3)²+4²
|a| = √9+16
|a| = √25
|a| = 5
Similarly;
|b| = √(9)²+1²
|b| = √81+1
|b| = √82
We are to find the following;
a) a + b
a+b = (-3,4) + (9, -1)
a+b = (-3+9, 4+(-1))
a+b = (6, 4-1)
a+b = (6,3)
b) 8a + 9b
8a + 9b = 8(-3,4) + 9(9, -1)
8a + 9b = (-24,32) + (81, -9)
8a + 9b = (-24+81, 32+(-9))
8a + 9b = (57, 32-9)
8a + 9b = (57, 23)
c) |a| = √(-3)²+4²
|a| = √9+16
|a| = √25
|a| = 5
d) |a − b|
To get |a − b|, we need to get a-b first
Solve for a -b
a-b = (-3,4) - (9, -1)
a-b = (-3-9, 4-(-1))
a-b = (-12, 4+1)
a-b = (-12,5)
Find modulus of a-b i.e |a − b|,
|a − b| = √(-12)²+5²
|a − b| = √144+25
|a − b| =√169
|a − b| = 13
Answer:
Second option is the correct answer
Step-by-step explanation:
The transformation set of 
values for function 
is ![[-1,1]](https://tex.z-dn.net/?f=%5B-1%2C1%5D)
this is an interval to which sine function maps.
You can observe that the interval to which 
function maps equals to ![[-2,0]](https://tex.z-dn.net/?f=%5B-2%2C0%5D)
.
So let us take a look at the possible options.
Option A states that shifting up by 
would result in having an interval ![[-1,1]+\frac{\pi}{2}\approx[0.57,2.57]](https://tex.z-dn.net/?f=%5B-1%2C1%5D%2B%5Cfrac%7B%5Cpi%7D%7B2%7D%5Capprox%5B0.57%2C2.57%5D)
which is clearly not true that means A is false.
Let's try option B. Shifting down by 
to get would mean that has a transformation interval of ![[-1,1]-1=[-2,0]](https://tex.z-dn.net/?f=%5B-1%2C1%5D-1%3D%5B-2%2C0%5D)
. This seems to fit our observation and it is correct.
So the answer would be B. If we shift down by one we get , which means that 
and 
.
Hope this helps :)
