Answer:
<em>m∠ FAE = 20°, m∠ CAD = 60°</em>
Step-by-step explanation:
If you take a look at the picture below, this explanation proves that the measure of FAE ⇒ 20°, and m∠ CAD = 60°;
Answer:
The given system has NO SOLUTION.
Step-by-step explanation:
Here, the given system of equation is:
6 x - 2 y = 5 .......... (1)
3 x - y = 10 .... (2)
Multiply equation 2 with (-2), we get:
3 x - y = 10 ( x -2)
⇒ - 6 x + 2 y = - 20
Now, ADD this to equation (1) , we get:
6 x - 2 y - 6 x + 2 y = 5 - 20
or, 0 = - 15
WHICH IS NOT POSSIBLE as 0 ≠ -15
Hence, the given system has NO SOLUTION.
Here, 3m is a scalar that we use to multiply each element of the matrix.
We have
![3m \left[\begin{array}{cc}-5m&2m\\6m&6n\end{array}\right]](https://tex.z-dn.net/?f=%20%203m%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-5m%262m%5C%5C6m%266n%5Cend%7Barray%7D%5Cright%5D%20)
.
We get
![\left[\begin{array}{cc}(3m)(-5m)&(3m)(2m)\\(3m)(6m)&(3m)(6n)\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%283m%29%28-5m%29%26%283m%29%282m%29%5C%5C%283m%29%286m%29%26%283m%29%286n%29%5Cend%7Barray%7D%5Cright%5D%20)
which simplifies to
![\left[\begin{array}{cc}-15m^2&6m^2\\18m^2&18mn\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-15m%5E2%266m%5E2%5C%5C18m%5E2%2618mn%5Cend%7Barray%7D%5Cright%5D%20)
Answer:
the question is weird but heres what i think
Step-by-step explanation:
10+10=20
20x10+45
245+30=275
Answer:
y = - 2x + 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute (4, 5) into the partial equation
5 = - 8 + c ⇒ c = 5 + 8 = 13
y = - 2x + 13 ← equation of line
