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2 years ago

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Carlos is tiling a kitchen counter that is 12 feet by 3 feet.The counter has a rectangular hole 3 feet by 2 feet cut in it for a

sink.What is the area of the kitchen counter that Carlos will tile? Help

1 answer:

alina1380 [7]2 years ago

3 0

Answer:

Carlos has to tile 30 sq ft

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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

2 years ago

What is the slope of the line that goes through the points (12,-18) (-15,-18)

AnnZ [28]

Hi!

Step-by-step explanation:

$SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}$

$\frac{(-18)-(-18)}{(-15)-12}=\frac{0}{-27}=0$

<u><em>Slope is 0.</em></u>

<u><em>The answer is 0.</em></u>

Hope this helps!

Have a nice day! :)

:D

-Charlie

Thank you!

4 0

2 years ago

Simplify the expression 2(w+7)+6(3w−1).please help

Elza [17]

Answer:

20w+8

Step-by-step explanation:

hope it helps..................

6 0

2 years ago

Read 2 more answers

How to solve this task 4×-2+1=3×+5

just olya [345]

4x-2+1=3x+5

Subtract 3x from both sides

x-2+1=5

Same as

x-1=5

Add 1 to both sides

x=6

8 0

2 years ago

Paul wants to compare whether the prices of tangerines in two supermarkets differ significantly. He has been noting down the dai

Wewaii [24]

<span>Based on the rules of statistics</span>

68% of the data falls within 1 standard deviation of the mean

95% of the data falls within 2 standard deviation of the mean

99% of the data falls within 3 standard deviation of the mean

20 falls between the range of -56 to 56 (from the given 95%)

Hence we accept the null hypothesis; else, if the mean falls outside the range, we reject the null hypothesis.

<span> </span>

5 0

2 years ago