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3 years ago

F the equation of a circle is (x + 4)2 + (y - 6)2 = 25, its center point is (4, 6) (-4, 6) (4, -6)

Mathematics

1 answer:

tiny-mole [99]3 years ago

7 0

The center is point (-4, 6)

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Prove that the difference between a two-digit number and the product of its digits will always be a 2 digit number.

slamgirl [31]

Step-by-step explanation:

Let the two-digit number is $xy$

This can be written as:

10x + y, where 1 ≤ x ≤ 9 and 0 ≤ y ≤ 9

The difference between the number and product of its digits is:

d = 10x + y - xy

Rewrite this as below:

d = 10x - xy + y - 10 + 10 =

x(10 - y) - (10 - y) + 10 =

(x - 1)(10 - y) + 10

We see that:

0 ≤ x - 1 ≤ 8 according to the condition given above
1 ≤ 10 - y ≤ 10 again according to the condition given above

The value of d is then:

0 + 10 ≤ d ≤ 8*10 + 10
10 ≤ d ≤ 90

<h3>Proved</h3>

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2 years ago

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How many calcium ions are in 0.5 mol of CaCl2?

slamgirl [31]

1 Calcium ion / formula unit times 0.5 moles CaCl2 x 6.02 x 10^23 =

3.01 x 10^23 Calcium ions.

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2 years ago

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The gray is a sidewalk and the turquoise is grass. Both are squares. What is the area of the sidewalk?

Alona [7]

Find the area of both first. The sidewalk is 12 * 12 = 144 ft^2, and grass is 10 * 10 = 100 ft^2. Subtract the area of the grass from the sidewalk, 144-100 = 44 ft^2.

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3 years ago

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Picture shows the question. Please help!

zhenek [66]

Using the picture, we know (2x+6)+(5x-3)=24. Simplify to find x.

7x+3=24
7x=21
x=3

We know AB=2x+6, and x=3. Plug 3 in for x.
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AB=6+6
AB=12

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2 years ago

Write multiple equation that represents the questions how many 3/8 are in 5/4

mars1129 [50]

Answer:

poop

Step-by-step explanation:

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2 years ago