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lesya [120]
3 years ago
6

Find the possible values for k for which the line y = (1/2)x + k is tangent to x^2 + y^2 = 8k.

Mathematics
1 answer:
denpristay [2]3 years ago
3 0

8k because 8k had only simbol of k

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A 2 by 3 rectangle contains 8 squares. A 3 by 4 rectangle contains 20 squares. A 4 by 6 rectangle contains 50 squares. What size
scZoUnD [109]

Answer:

The rectangles that have exactly 100 squares are 1 by 100  4 by 11 and 5 by 8

Step-by-step explanation:

The given parameters are;

A 2 by 3 rectangle contains 8 squares

A 3 by 4 rectangle contains 20 squares

A 4 by 6 rectangle contains 50 squares  

We note that the number of squares varies proportionately to the increase in the dimension of the rectangle, that is we have;

2 by  3 rectangle contains 8 squares

3 by 4 rectangle contains 20 squares increase by 12 = 3 × 4

4 by 5 rectangle contains 40 squares increase by 20 = 4 × 5

The number of squares formed can therefore be arranged in a matrix as follows(please see attached matrix);

Column,     1,       2,     3,      4,       5,     6,        7,       8,         9,           10,         11

Row

1

2

3

4

5

6

7

8

9

10

11

It will be observed that after reaching a point where the row and column are equal, (x, x) the rate of increase in the number of squares become constant and equal to x × ((x - 1) × 0.5) + 1) = x × (x + 1)/2

From the matrix, the rectangles that have exactly 100 squares are 1 by 100  4 by 11 and 5 by 8 and there are no more as presented in the attached matrix, the number of squares formed keeps increasing for each column and row added.

4 0
3 years ago
The diameter of a meteorite in millimeters is calculated by four different methods. Order the results from least to greatest. Ex
grandymaker [24]

Answer:

√18, 13/3, 4.6, 4π

Step-by-step explanation:

joe = √18 = 4.24 mm

Lisa = 13/3 = 4.33 mm

Pablo = 4.6 = 4.60 mm

Julien = 4π = 12.56 mm

8 0
3 years ago
Do you guys know the answer?
Georgia [21]

147

Step-by-step explanation:

180-33=147

7 0
2 years ago
Read 2 more answers
3/4 times (-1/3) ?????
Snowcat [4.5K]

Answer:

-1/4

Step-by-step explanation:

You multiply the numerators, 3 multiplied by -1=-3.

Then the denominators, 4 multiplied by 3=12.

This means the answer is -3/12, but then you can simplify it to -1/4.

3 0
3 years ago
Read 2 more answers
Plz help this is so hard
Mashutka [201]
1) 5:4 2) 4:5 3) 5:9 4) 2:3 5) 1:4 6)3:2 7) 5:13 8) 6:7 9) 7:5 10) 13:18 11) 18:5 12) 6:13. The others were weird, because it's been forever since I've had to do these.
4 0
3 years ago
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