Times 2nd equation by 2
add to first equation
3x+6y=6
<u>4x-6y=8 +</u>
7x+0y=14
7x=14
divide both sides by 7
x=2
sub back
2x-3y=4
2(2)-3y=4
4-3y=4
minus 4 both sideds
-3y=0
y=0
(x,y)
(2,0)
3. Binomial Formula: ( a + b ) ( a - b ) = a^2 - ab + ba - b^2 = a^2 - b^2
4x^2 - 25 = (2x - 5)(2x + 5)
Make 2 eqn, let a be apples and o be oranges:
1. 5a + 4o = 10
2. 5a + 5o = 11
set up an elimination:
1. minus 2.
5a + 4o = 10
- 5a + 5o = 11
____________
o = 1
sub “o” into one of the eqn
5a + 5(1) = 11
5a = 11-5
5a = 6
a = 6/5
a = 1.2
therefore, an orange costs $1.00 and an apple costs $1.20
Answer:
1 option is correct
Step-by-step explanation:
Angle AOB and DOC is vertically opposite angle
9514 1404 393
Answer:
x + y = 6 (or choice C, see comment)
Step-by-step explanation:
The equation of the line through point B and perpendicular to AB can be written as ...
(Bx -Ax)(x -Bx) +(By -Ay)(y -By) = 0 . . . . where A = (Ax, Ay) and B = (Bx, By)
(2 -(-3))(x -2) +(4 -(-1))(y -4) = 0
5x +5y -30 = 0
x + y = 6 . . . . . . reduce to standard form
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<em>Additional comment</em>
None of the offered choices describes a line through point B. (See second attachment). We note that several of the lines go through the point (4, 4). The segment joining points (-3, -1) and (4, 4) will be perpendicular to the line -7x -5y = -48, answer choice C.
Please talk to your teacher about this question.