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Olegator [25]
3 years ago
10

The line y = x − 6 y=x−6 has exactly one point in common with the circle x 2 + y 2 = r 2 x2+y2=r2. what is the value of r 2 r2?

Mathematics
1 answer:
quester [9]3 years ago
7 0
Given:
y = x - 6         (1)
 for the line
x² + y² = r²     (2)
 for the circle

When the line intercepts the circle, the x and y values will be equal.
Equate the values of y by substituting (1) into (2).
x² + (x - 6)² = r²
x² + x² - 12x + 36 = r²
2x² - 12x + 36 = r²

Answer:  r² = 2x² - 12x + 36
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Step-by-step explanation:

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The probability of choosing a male albino rat and then either a female albino rat or a male spotted rat = \dfrac{76}{89}

7 0
3 years ago
Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of s
lakkis [162]

Answer:

5 hrs  19.57 Minutes will be taken to prepare 1575 Bags by Ashley & her 4 friends if Ashley take 2/3 minute to prepare a bag & her each friend takes 75% Longer

Step-by-step explanation:

Ashley Takes  2/3  minute to prepare a bag

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time taken by her friends =  2/3  + (75/100)(2/3)

= (2/3)( 1  + 3/4)

= (2/3)(7/4)

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=  3/2  +  4*6/7

=  (21 + 48)/14

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1 Bag prepared in    14/69   minutes

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= 319.57 minutes

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5 0
3 years ago
How can you use similar triangles to solve real-world problems?
Pavel [41]

Answer:

similar triangles can be used to find the height of a building.

Step-by-step explanation:

3 0
2 years ago
A company dyes two sizes of rugs. A small rug requires 2 hours for dyeing and a medium-size rug requires 3 hours for dyeing. The
TiliK225 [7]
X + y > = 15.....this is saying that small rugs (x) + medium rugs (y) when made, are greater then or equal to 15...because they have to make at least 15

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7 0
3 years ago
The slope that goes through the points (3,-4) and (-2,6)​
kicyunya [14]

Answer:

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Step-by-step explanation:

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3 years ago
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