Answer:
A. A translation 4 units to the left and 3 units down.
Step-by-step explanation:
180 degrees in a triangle therefore you will subtract 54 and 79 from 180 which then gives you the answer --47--
do you understand how to do it now ?
Answer:
| v | = 5,831
Step-by-step explanation:
Take the starting point.
In the graph you can see that the coordinates are (1,1)
Then it takes the final point that has the coordinates (4.6)
Now subtract the final coordinates - the initial coordinates
v = <
>
v = <4-1, 6-1>
v = <3, 5>
Then, by definition, the magnitude of the vector is:
![|v| = \sqrt{3^2 +5^2}\\\\|v| = \sqrt{9 + 25}\\\\|v| = \srqrt{34}\\\\|v| = 5.831](https://tex.z-dn.net/?f=%7Cv%7C%20%3D%20%5Csqrt%7B3%5E2%20%2B5%5E2%7D%5C%5C%5C%5C%7Cv%7C%20%3D%20%5Csqrt%7B9%20%2B%2025%7D%5C%5C%5C%5C%7Cv%7C%20%3D%20%5Csrqrt%7B34%7D%5C%5C%5C%5C%7Cv%7C%20%3D%205.831)
Answer:
Step-by-step explanation:
In parallelogram opposite angles are equal
6x = 66 {Divide both sides by 6}
x = 66/6
x = 11
20y - 46 = 13y + 10 {Add 46 to both sides}
20y - 46 + 46 = 13y + 10 + 46
20y = 13y + 56 {Subtract 13y from both sides}
20y - 13y = 13y-13y + 56
7y = 56 {Divide both sides by 7}
y = 56/7
y = 8
Answer:
11
Step-by-step explanation:
The two equations appear to be ...
- 12x +4y = 152
- 32x +12y = 420
These can be solved for y using Cramer's rule:
y = (152(32) -420(12))/(4(32) -12(12)) = -176/-16 = 11
The cost of the vegetarian lunch is 11.
_____
<em>Comment on Cramer's Rule</em>
For equations ...
ax +by =c
dx +ey = f
The solutions are ...
x = (bf -ey)/(bd -ea)
y = (cd -fa)/(bd -ea) . . . . note the denominators are the same expression
Once you memorize the pattern of products, this can be the simplest way to solve a pair of equations--especially if you only need one of the variable values.