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alekssr [168]
1 year ago
7

Graph transformations GCSE maths. Please helpppp. Thanks

Mathematics
1 answer:
vitfil [10]1 year ago
3 0
<h3>Answer: Rotate 180 degrees around point B</h3>

Explanation:

Point A(-3,1) moves to A ' (1,1). The line through these two points is y = 1.

Point C(-3,3) moves to C ' (1, -1). The line through these two points is y = -x

These two lines intersect at point B(-1,1) which is the invariant point, aka fixed point. It is the center of rotation.

Notice how points A, B and A' are collinear (i.e. they are on the same line). The same can be said about points C, B and C'.

Because of these two sets of collinear points, it means we have a 180 degree rotation going on.

Check out the diagram below.

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Simplify the expression \[\frac{6}{\sqrt{36} + \sqrt{27}} + \frac{6}{\sqrt{27} + \sqrt{18}} + \frac{6}{\sqrt{18} + \sqrt{9}}.\]
Viktor [21]

Answer:

= 18 ( 3 + 2(\sqrt{3}  + \sqrt{2} ))

Step-by-step explanation:

6(\sqrt{36} +\sqrt{27}) + 6(\sqrt{27} +\sqrt{18}) + 6(\sqrt{18} + \sqrt{9} )\\= 6( {6} +\sqrt{9*3}) + 6( \sqrt{9*3}  +\sqrt{9*2}) + 6(\sqrt{9*2} + 3 )\\= 6( {6} +3\sqrt{3}) + 6(3\sqrt{3} +3\sqrt{2}) + 6(3\sqrt{2} + 3 )\\=36 + 18\sqrt{3} + 18\sqrt{3} + 18\sqrt{2}+ 18\sqrt{2} + 18\\= 36+18  +18( \sqrt{3}+ \sqrt{3} +\sqrt{2} + \sqrt{2})\\= 54 + 18 (2\sqrt{3} +2\sqrt{2})\\=54 + 36\sqrt{3}  + 36\sqrt{2}\\= 18 ( 3 + 2(\sqrt{3}  + \sqrt{2} ))

7 0
3 years ago
9. The points (4, –6) and (9, -6) represent the location of two towns on a
k0ka [10]

Answer:

5 miles apart

Step-by-step explanation:

(4,-6) is 5 units away from (9,-6)

4 0
3 years ago
What is 0.82 as a fraction
shepuryov [24]
I am pretty sure it's 82/100.
4 0
3 years ago
Read 2 more answers
The diameter of fishing line varies. Fishing lines can have a diameter as small as 2 x 102 inch and as large as 6 x 10-2 inch. H
Reil [10]
Answer:
3 times

Explanation:
We know that:
small diameter = 2 * 10^-2 in
large diameter = 6 * 10^-2 in

We want to know how many times larger is the thin diameter compared to the large one.
We will do this as follows:
large diameter = k * small diameter
where k is the number of times that we want to find
6 * 10^-2 = k * 2 * 10^-2
k = (6 * 10^-2) / (2 * 10^-2)
k = 3

This means that the large diameter is 3 times the small one.

Hope this helps :)
4 0
3 years ago
Which statement is true about the graphs of the two lines y = –6 and x =1/6 ?
sweet-ann [11.9K]
These lines are perpendicular because y = -6 is a horizontal line with a slope of 0 and x = 6 is a vertical line with an undefined slope
6 0
3 years ago
Read 2 more answers
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