ABC is reflected about the line y= -x to give abc with vertices a (-1,1) b (-2,1) c (-1,0) what are the vertices of abc
1 answer:
Answer:
(-1, 1), (-1, 2), (0, 1)
Step-by-step explanation:
It appears as though letter designations have become confused. If not, your question answers itself, as a, b, c are given and you're asking for a, b, and c.
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Reflecting the given points across the line y=-x transforms them like this:
(x, y) ⇒ (-y, -x)
That is, you swap the coordinates and negate them both. The result will be as shown above and in the attachment.
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Answer:
Step-by-step explanation:
When we divide polynomials by polynomials with more than one term, we use long division or factorization to simplify.
This polynomial isn't easily divided after factorization so we will use long division. And we will use the remainder theorem to write any remainder.
We start long division by finding what multiplies with x+5 to get . This is 6x.
So . We have 6x left as a remainder from 36x.
We now divide x+5 into 6x+35. What multiplies with x+5 to get 6x+35? 6.
So we have 6x+6 as our answer so far and after we multiply 6(x+5)=6x+30 we will have a final remainder of 5.
We write our answer as .
Answer:
The required result is proved with the help of angle bisector theorem.
Step-by-step explanation:
Given △ABD and △CBD, AE and CE are the angle bisectors. we have to prove that
Angle bisector theorem states that an angle bisector of an angle of a Δ divides the opposite side in two segments that are proportional to the other two sides of triangle.
In ΔADB, AE is the angle bisector
∴ the ratio of the length of side DE to length BE is equal to the ratio of the line segment AD to the line segment AB.
→ (1)
In ΔDCB, CE is the angle bisector
∴ the ratio of the length of side DE to length BE is equal to the ratio of the line segment CD to the line segment CB.
→ (2)
From equation (1) and (2), we get
Hence Proved.
The radius of a circle with the same vertex as a center is 12 units
<h3>Application of Pythagoras theorem;</h3>To get the radius of the circle, we need to determine the diameter of the circle first:
According to SOH CAH TOA:
Determine the radius of the circle
Radius = dismeter/2
Radius = 24/2
Radius = 12
Hence the radius of a circle with the same vertex as a center is 12 units
Learn more on radius of a circle here: brainly.com/question/24375372