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Sergio [31]
4 years ago
12

Circle 1 has center (−4, 5) and a radius of 6 cm. Circle 2 has (2, −3) and a radius 9 cm.

Mathematics
1 answer:
zheka24 [161]4 years ago
3 0
First translate the circle from (-4,5) to (2,-3) [ a translation of (+6, -8) ] by the transformation rule
(x,y)->(x+6, y-8)
the scale factor would be the ratio of the radii of image (circle 2) divided by that of preimage (circle 1)
=9/6=3/2
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At what corridnate point do y= 1/2 x + 4 and x + 4y = 4 intersect.
Viefleur [7K]

Answer:

(-4;2)

Step-by-step explanation:

1. if y=1/2 x+4, then 2y=x+8; it is possible to re-write as x-2y+8=0;

2. if x+4y=4, it is possible to re-write it as x+4y-4=0;

3. if x-2y+8=0 and x+4y-4=0, then x-2y+8=x+4y-4; ⇒ -2y+8=4y-4; ⇒ 6y=12; ⇔ y=2.

4. if y=2, then it is possible to substitute its value into any equation given in the condition:

x+4y=4 (substitution y=2); ⇒ x+8=4; ⇒ x= -4.

5. finally x= -4; y=2. It means (-4;2)

PS. the suggested solution is not the only way to resolve this task.

6 0
3 years ago
What's the Volume of this??
mr_godi [17]

Answer:

V = 90 cm^3

Step-by-step explanation:

The volume is given by

V = Bh

where B is the area of the base and  h is the height

The base is the two sides that are identical, which is the triangle

B = 1/2 bh

   = 1/2 (4*3)

   = 1/2 (12)

   = 6

Substituting into the volume equation, where h = 15

V = 6*15

V = 90 cm^3

8 0
4 years ago
Please someone actually help :((( honestly im just gonna drop out
Lorico [155]

Answer:

12

Step-by-step explanation:

4u - 8u = -63 + 15 ( collecting like terms)

-4u = -48

u = 12

8 0
3 years ago
Read 2 more answers
Help pleaseeeeeeeeeeeee
eduard

Step-by-step explanation:

17.0 there you go I hope this helped

4 0
3 years ago
Read 2 more answers
(3 3/8 – 1 1/5) + 1 7/8
makvit [3.9K]

Answer:

4 3/10

Step-by-step explanation:

3 3/8-1 1/5+17/8

=27/8-1 1/5+17/8

=27/8-6/5+17/8

=87/40+17/8

=43/10

=4 3/10

7 0
3 years ago
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