Answer:
(x, y) = (77/240, -3/10)
Step-by-step explanation:
It is convenient to write the equations in standard form.
Multiplying the first equation by 21 gives ...
21y = 24x -14
Multiplying the second equation by 8 gives ...
24x +9y = 5
Then the system of equations in standard form is ...
Subtracting the first from the second, we get ...
(24x +9y) -(24x -21y) = (5) -(14)
30y = -9
y = -9/30 = -3/10
Substituting this into the second equation, we have ...
24x +9(-3/10) = 5
24x = 7.7 . . . . . . . add 27/10
x = 7.7/24 = 77/240
The solution is (x, y) = (77/240, -3/10).
Answer:
If the line RS has been rotated 90 degrees, then VU will be perpendicular to RS and the two slopes must be opposite and reciprocal, i.e. product of the two slopes will equal -1.
As a verification, we find the locations of V and U from rotations of R & S.
(actually, the triangle had been rotated -90°, 90 ° clockwise)
Step-by-step explanation:
Slope RS, m1:
Slope VU, m2
Hence m1*m2=1*-1=-1, meaning that m1 and m2 are opposite (in sign) and are reciprocal to each other, as expected
Answer:
6 team members
Step-by-step explanation:
We know that 2 team members can solve 13 problems in an hour. So, all you have to do is find what 195÷13 is, and multiply that by 2.
195÷13= 315
15*2= 30
And we have our answer!
I hope this helps! If it did, it would mean a lot to me if you could mark me brainliest :D
Have a nice day!
Hello there.
<span>How to solve -2 = -6 + 4v?</span>
<span><span>−2</span>=<span><span>4v</span>−6</span></span>
<span><span><span>4v</span>−6</span>=<span>−2</span></span>
<span><span><span><span>4v</span>−6</span>+6</span>=<span><span>−2</span>+6</span></span><span><span>4v</span>=4</span>
<span><span><span>4v/</span>4</span>=<span>4/4
</span></span><span>v=1</span>
