If you graph the two equations then you will find that they intersect at (-2,-2).
You then have to check your answer.
x=4y+6
(-2)=4(-2)+6
-2=-8+6
-2=-2
x-3y=4
(-2)-3(-2)=4
-2+6=4
4=4
The equation:
y - y 1 = ( y2 - y1 ) / ( x2- x1) * ( x - x1 )
y - ( - 5 ) = ( 4 + 5 ) / ( - 5 + 7 ) * ( x - ( - 7 ) )
y + 5 = 9/2 ( x + 7 )
y + 5 = 9/2 x + 63 /2 / * 2
2 y + 10 = 9 x + 63
- 9 x + 2 x = 53
Answer:
C ) y + 5 = 9/2 ( x + 7 ) ; - 9 x + 2 y = 53
Answer:
- <u><em>D. (-5/13, -12/13)</em></u>
Explanation:
It is indicated to <em>find the coordinates</em> of the <em>point T (5/13, 12/13) </em>at a distance <em>π + x.</em>
- π is an arc of half a circle, i.e. 180º.
Then, the distance π+ x means that the <em>point T</em> is rotated 180º.
The rule for the rotation of a point 180º around the origin is:
Applying that rule to the point T:
- (5/13, 12/13) → (-5/13, - 12/13) ← answer
Answer:
27.8 degrees
Step-by-step explanation:
Wasn't it 'a,' not 'A,' that you wanted?
The ratio a/ 30 is the cosine of the angle 22 degrees, which in turn is 0.927:
a
Then 0.927 = ------- which yields a = 30(0.927) = 27.8 degrees
30
Answer:
18
Step-by-step explanation:
To find the number, write an algebraic equation with the given information. Let the variable n represent the unknown number.
Now, break it by parts - "three times a number" would be 
. The "is" means that it equals something, giving us 
. "36 less than 5 times the number" would be subtracting 36 from whatever 5 times the number is: 
. So, put it all together and it is 
.
Next, solve the equation for n. The answer will be the number.
Thus, the number is 18.
