Answer:
x = 0
Step-by-step explanation:
→ Expand out the brackets
6 - 18x + 4x - 6 = 0
→ Collect all the like terms
-12x = 0
→ Now solve
x = 0
Answer:
(0, 2 ) and (-
,
)
Step-by-step explanation:
Given the 2 equations
2x² + 4x - y = - 2 → (1)
x² + y = 2 → (2)
subtract x² from both sides in (2)
y = 2 - x² → (3)
Substitute y = 2 - x² into (1)
2x² + 4x - (2 - x²) = - 2
2x² + 4x - 2 + x² = - 2
3x² + 4x - 2 = - 2 ( add 2 to both sides )
3x² + 4x = 0 ← in standard form
x(3x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x = 0
3x + 4 = 0 ⇒ 3x = - 4 ⇒ x = -
Substitute these values into (3) for corresponding values of y
x = 0 : y = 2 - 0² = 2 - 0 = 2 ⇒ (0, 2)
x = -
: y = 2 - (-
)² = 2 -
=
⇒ ( -
,
)
The difference is in way we observe some object that is moving. In translatory motion each point of the object has to go in straight line. A ball for example when kicked is rolling which means that not all of its oints are going in straight line. Some of points on ball are rotating. On the other hand in rectilinear motion it is only important that object is moving on straight line and it doesnt matter if it is rotating. So kicked ball that moves on ground is example of that.
Example of translatory motion can be our body in a bus that is going in straight line but not that wheels are rotating so they are moving rectilinear.
Answer:
y=-2x+5. (4,-3)
Step-by-step explanation:
1) What's being asked in other words is to write a function. So the initial point is (1,3). In x-axis, a translation movement can only be to the right or to the left. Similarly for y-axis the possible movements are shifting up or down. The question says, 3 units right for x-cordinate and 6 units down for y cordinate. So the final point of this translation would be (1+3,3-6) =(4,-3)
2) To write a linear function we need to find out the slope:


y=-2x+5
<u>Proof:</u>
x=1
y=-2(1)+5
y=3 Then (1,3)
x=4
y=-2(4)+5
y=-8+5
y=-3 Then (4,-3)
The probability that Olive flips heads and rolls an even number is 3/12 or 1/4.
These events are known as independent events which means the result of one event will not affect the other. The find the probability of the two events, you must multiply the probability of flipping heads and rolling an even number on a number cube.
1/2 x 3/6 = 3/12 OR 1/4 :)