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MariettaO [177]

3 years ago

10

Katie uses a copy machine to enlarge her rectangular design that is 6 in. wide and 8 in. long. The new width is 10 in. What is t

he new length?

1 answer:

kirill [66]3 years ago

4 0

She added 4 inches to the width. Therefore, to ensure equivalence, she would add 4 to the length. You get 12in.

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Kenneth did of 1/3 of his laundry on Sunday and 7/15 of his laundry on monday. what fraction of laundry did kenneth do in total?

victus00 [196]

1/3 + 7/15 =

4/5

Therefore the answer is 4/5. So Kenneth did 4/5 of his laundry in total.

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3 0

3 years ago

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The following expression is written by some students: A+B=C. if ''A'' is always twice the value of ''B''. what is the value of '

ANEK [815]

Answer:

c=3

Step-by-step explanation:

a+b=c

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6 0

2 years ago

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8 0

3 years ago

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8 0

3 years ago

Write the equation of circle b with center B(-2,3) that passes through (1,2)

professor190 [17]

Answer:

$(x+2)^2 + (y-3)^2 = 10$

Step-by-step explanation:

The standard equation for circle is

$(x-a)^2 + (y-b)^2 = r^2$

where point (a,b) is coordinate of center of circle and r is the radius.

______________________________________________________

Given

center of circle =((-2,3)

let r be the radius of circle

Plugging in this value of center in standard equation for circle given above we have

$(x-a)^2 + (y-b)^2 = r^2 \ substitute (a,b) \ with (-2,3) \\=>(x-(-2))^2 + (y-3)^2 = r^2 \\=>(x+2)^2 + (y-3)^2 = r^2 (1)$

Given that point (1,2 ) passes through circle. Hence this point will satisfy the above equation of circle.

Plugging in the point (1,2 ) in equation 1 we have

$\\=>(x+2)^2 + (y-3)^2 = r^2 \\=> (1+2)^2 + (2-3)^2 = r^2\\=> 3^2 + (-1)^2 = r^2\\=> 9 + 1 = r^2\\=> 10 = r^2\\=> r^2 = 10\\$

now we have value of r^2 = 10, substituting this in equation 1 we have

Thus complete equation of circle is $=>(x+2)^2 + (y-3)^2 = r^2\\=>(x+2)^2 + (y-3)^2 = 10$

7 0

3 years ago