I have 2 questions. Please help me with them. Thank you.

Mathematics

1 answer:

zavuch27 [327]3 years ago

6 0

(x+8)^(2) + (y+9)^(2) = 169
(x+8)^(2) + (y+9)^(2) = 13^2

h = -8
k = -9
r = 13

answer
A. center (-8,-9)
radius = 13

--------------

(x-7)^2 + y^2 = 225
(x-7)^2 + y^2 = 15^2

h = 7
k = 0
r = 15

answer
B. center (7,0)
radius = 15

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Nathaniel builds birds and birdhouses using Lego blocks. Let B represent the number of birds and H represent the number of birdh

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Answer:

At-most 3 birdhouses.

Step-by-step explanation:

Let B represent the number of birds and H represent the number of birdhouses that Nathaniel can build with his Lego blocks.

We have been given that Nathaniel builds birds and birdhouses using Lego blocks. The inequality $43B+215H\leq3000$ represents the number of birds and birdhouses Nathaniel could build.

To find the number of birdhouses that Nathaniel can build after making 50 birds, we will substitute B=50 in our given inequality and then solve for H.

$43*50+215H\leq3000$

$2150+215H\leq3000$

Let us subtract 2150 from both sides of our inequality.

$2150-2150+215H\leq3000-2150$

$215H\leq850$

Let us divide both both sides of our inequality by 215.

$\frac{215H}{215}\leq\frac{850}{215}$

$H\leq3.953488$

As Nathaniel can make build less than or equal to 3.953488 and the biggest integer less than or equal to 3.953 is 3, therefore, Nathaniel can build at-most 3 birdhouses with remaining Lego blocks.

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2 years ago

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Cho hai tập hợp A = {0,1,4,7,8,9}, B = {1,2,3,4,6,7,8}.Tập hợp B\A bằng:

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Đáp án

A. {2,3,6}

Lời giải:

B\A là tập hợp các phần tử B có mà A không có. => B\A = {2,3,6}

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2 years ago

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