Answer:
B
Step-by-step explanation:
Using the equation to find the slope, (-6 - -6) / (5 - 3) equals zero. This means that the line has no slope and must be flat.
To solve this system of linear equations we need a little trick called elimination steps are below
we are given the following system of equations


if you look at the x variables in both equations you can see that we can easily eliminate them by multiplying the bottom equation by -4 as so


simplify and we get


now we can combine like terms on each side with the x's cancelling and get

now divide off -35

great now we can go back to our original system and pick a equation and substitute y back in to find x lets use

so now we substitute y and get




now we put x and y into one coordinate (x,y)
so now our FINAL ANSWER IS
(-17,-1)
Step one- distribute
6y-9=27
Step 2- subtract 9 on both sides
6y=18
Step 3 divide on both sides
Y=3
Answer:
a. 〈4,3〉
b. 〈-2,7〉
c. 〈11,4〉
Step-by-step explanation:
a. u + v
〈1,5〉 + 〈3, −2〉
〈1+3,5-2〉
〈4,3〉
b. u - v
〈1,5〉 - 〈3, -2〉
〈1-3,5-(-2)〉
〈-2,7〉
c. 2u + 3v
2*〈1,5〉 + 3*〈3,-2〉
〈2*1,2*5〉 + 〈3*3,3*(-2)〉
〈2,10〉 + 〈9,-6〉
〈2+9,10-6〉
〈11,4〉
To draw the vectors, let's put them on the origin (0,0), so let's draw the line until the point of its component form, with an arrow. The vectors are shown below.
The first one sqrt29 or 5.38.
The second one is 5.0
By using the distance formula to solve and thinking of the 2 points given as sides of a triangle we solve for the hypotenuse. Taking the difference in the Y values and X values give us the 2 sides and from there we can do a^2 +b ^2 is c^2 to solve for the distance between them