118.56. 31.2 x 3.8 = 118.56
Given:
Point (7,12) is rotated 1260° counterclockwise about the origin.
To find:
The x-coordinate of the point after this rotation.
Solution:
If a point is rotated 360 degrees then its coordinates remains unchanged.
If a point is rotated 180 counterclockwise about the origin degrees, then

We know that,


After
rotation the coordinates of points remains same, i.e., (7,12). So, after that (7,12) is rotated 180° counterclockwise about the origin.

The point (7,12) becomes (-7,-12) after rotation of 1260° counterclockwise about the origin.
Therefore, the x-coordinate of the required point is -7.
Answer:
×
= 
Step-by-step explanation:
× 
To solve the above, we need to follow the steps below;
4k+2 can be factorize, so that;
4k +2 = 2 (2k + 1)
k² - 4 can also be be expanded, so that;
k² - 4 = (k-2)(k+2)
Lets replace 4k +2 by 2 (2k + 1)
and
k² - 4 by (k-2)(k+2) in the expression given
× 
× 
(2k+1) at the numerator will cancel-out (2k+1) at the denominator, also (k-2) at the numerator will cancel-out (k-2) at the denominator,
So our expression becomes;

Therefore,
×
= 
Step-by-step explanation:
B
1100
To find the sum of the first n terms of an arithmetic series use the formula,
S
n
=
2
n(a
1
+a
n
)
S
20
=
2
20(10+100)
S
20
=
2
2200
S
20
=1100
Answer:
Each Tomskian build 6 igloos per week.
Each Kyzylian build 5 igloos per week.
Step-by-step explanation:
Let T represent the number of Tomskians and K represent the number of Kyzylians the company needs to employ to meet its goal.
The inequality:
represents the situation that a company plans to build at least 152 igloos in a single week by employing T Tomskians and K Kyzylians.
We can see that 6T represents the number of igloos made by T Tomskians in one week and 5K represents the number of igloos made by K Kyzylians in one week .
Since all Tomskians and Kyzylians build the same number of igloos per week, therefore, each Tomskian build 6 igloos per week and each Kyzylian build 5 igloos per week.