Answer:
5x - 2y = -10 (B.) This should be right so if its not let me know I am stumped on what else it would be
Step-by-step explanation:
Parallelism: Same slope but different y-intercept
1 - Get into slope formula
5x - 2y = 7
<u>- 5x -5x </u>
-2y = -5x + 7
-2y/-2 = -5x/-2 +7/-2
y = (5/2)x - 7/2
2 - Plug x and y from (0, 5) into y = mx + b however note the - 7/2 is extranneous and wont be used for b
y = (5/2)x + b
5 = (5/2)0 + b
5 = 0 + b
5 = b
Therefore
y = 5/2x + 5 is your slope formula.
Now to get x to the other side.
3 - Get it back to standard form.
y = 5/2x + 5
- 5/2x -5/2x
- 5/2x + y = 5
(Multiply 2 into everything to get rid of the fraction)
-5x + 2y = 10
Answer:
68 square unites
Step-by-step explanation:
Draw a live from (-8,2) to (0,2) and up to (0,4). This divides it into three shapes.
Big triangle = 0.5x8x12=48
Little triangle = 0.5x2x4=4
Rectangle = 8x2=16
48+4+16=68
Answer:C. (4,5)
Step-by-step explanation:
The first equation can be simplified to y=1/2x +3.
To prove the QRST is a parallelogram.
Step 1: Given 
and 
Step 2: 
are alternate interior angles.
Definition of alternate interior angles
Step 3: Alternate interior angle theorem:
If two parallel lines cut by a transversal then the alternate interior angles are congruence.
QR and TS are parallel lines cut by QS.
Therefore, 
Step 4: Reflexive property of congruence:
Any geometric figure is congruence to itself.
Therefore, 
Step 5: By the above steps
(Angle), (Angle) and (Side)
Hence 
(by ASA congruence theorem)
Step 6: Corresponding parts of congruence triangles are congruent.
Step 7: Property of parallelogram:
If one pair of opposite sides are both parallel and congruent, then the quadrilateral is a parallelogram.
Hence Quadrilateral QRST is a parallelogram.
Since x=7 we plug the number in for x and get 7-8
Answer= -1
