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ANEK [815]
3 years ago
5

Determines the equation of the circumference passing through points A (-2; 0), B (6; 0) and having the center on the line x + 2y

+ 4 = 0. It then determines the line tangent to the circumference at point A .​
Mathematics
1 answer:
Alenkasestr [34]3 years ago
4 0

Answer:

y = 4/3 x + 8/3

Step-by-step explanation:

A (-2; 0), B (6; 0) on circle circumference, circle center O (h , k) and radius r

(-2 - h)² + (0 - k)² = r²

(6 - h)² + (0 - k)² = r²

(-2 - h)² = (6 - h)²

4 + 4h + h² = 36 - 12h + h²

16h = 32           h = 2

the center on the line x + 2y + 4 = 0, ∴ 2 + 2y + 4 = 0

y = -3   i.e.  k = -3         center O (2 , -3)

segment OA: (2 , -3) (-2 , 0)

slope OA = (-3 - 0) / (2 - (-2)) = -3 /4

tangent line through A (Lₐ) slope Lₐ = 4/3

y = mx + b    for A(-2 , 0)

b = y - mx = 0 - (4/3 x (-2)) = 8/3

line tangent to the circumference at point A: y = 4/3 x + 8/3

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Someone please help me
Lesechka [4]

If these 2 triangles are similar to each other, the corresponding sides have to exist in proportion to one another. The angles would be exactly the same (side length doesn't matter at all!). Going from the bigger triangle to the smaller, KL corresponds to RS; LJ corresponds to SQ; JK corresponds to QR. The ratio of KL:RS is 5:1; the ratio of LJ:SQ is 5:1; the ratiio of JK:QR is 5:1. That means that the sides are all proportionate and the triangles are similar by the SSS postulate. Now that we know that the triangles are similar, we can say that all the corresponding angles are the same by CPCTC but we had to determinte side similiarity first. Your answer is the second choice, SSS

8 0
3 years ago
If 3(d+1)=4(d–2)<br> then what is the value of 5(d–2)
Sonja [21]

Answer:

5(d - 2) = 45

Step-by-step explanation:

Solve the given equation for d

3(d + 1) = 4(d - 2) ← distribute parenthesis on both sides

3d + 3 = 4d - 8 ( subtract 3d from both sides )

3 = d - 8 ( add 8 to both sides )

11 = d

Then

5(d - 2) = 5(11 - 2) = 5(9) = 45

3 0
2 years ago
To find the product of 42.12 and 10³, move the decimal point in 42.12 __ places to the right because 10³ has __ zeros.
docker41 [41]

Answer:

Both answers are 3.

Step-by-step explanation:

10^3 = 10 * 10 * 10 = 1000

When you multiply 42.12 by 10^3, you are multiplying 42.12 by 1000.

When you multiply a number by a power of 10, such as 10, 100, 1000, etc., move the decimal point of the number to the right the same number of places as the number of zeros in the power of 10.

42.12 * 1000 = 42,120

5 0
3 years ago
What is greater 42.9 or 42.900 ANSWER PLSSSS
chubhunter [2.5K]
They are the same , hope this helps :)
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2 years ago
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1 penny = 0.005 ft
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8 0
2 years ago
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