The answer is 5 and 0
(-5) + 5 = 0
Answer:

Step-by-step explanation:
Always proceed by first extracting all common factors to all terms:
Notice that the factors: 5, x, and y are present in all terms, so we can extract them from the trinomial:

Now, the trinomial left (-x+2-3y) cannot be factored out, so then factoring is complete.
Part (d)
Answer: 180 degrees
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Explanation:
QS is a diameter, which makes angle SPQ to be 180 degrees (ie a straight angle). Arc QTS is also going to be 180 degrees, because all semicircles are half of the full circle of 360 degrees. So (1/2)*360 = 180.
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Part (e)
Answer: 50 degrees
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Explanation:
Angle QPR is a central angle that subtends (cuts off) the minor arc RQ, which is shown to be 50 degrees. The central angle is equal to this arc measure, so angle QPR is also 50 degrees
Answer:
<em>Shorter leg=3</em>
<em>Longer leg=4</em>
Step-by-step explanation:
<u>Equations</u>
In a right triangle, Pythagora's Theorem is satisfied. Being a the hypotenuse, b and c the legs of the triangle, then:

Let's call
x=the shorter leg of the triangle
The longer leg is 1 cm longer than the shorter leg, thus:
x+1=the longer leg.
Since the hypotenuse is 5 cm long:

Operating:

Swapping sides and simplifying:

Subtracting 25:

Dividing by 2:

Factoring:

We have two possible solutions:
x=3, x=4
The longer leg is x+1.
If x=3, x+1=4
If x=4, x+1=5. This solution is not valid because one leg would be equal to the hypotenuse.
Thus, the solution is:
Shorter leg=3
Longer leg=4
6x-2y=8
Subtract 6x from both sides
-2y=-6x+8
Divide both sides by-2
Y=3x-4