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3 years ago

Complete the first step in writing the equation of a circle in graphing form.

1 answer:

5 0

X² - 2x + y² + 6y - 6 = 0
x² - 2x + y² + 6y = 6
(x² - 2x + 1) + (y² + 6y + 9) = 6 + 1 + 9
(x - 1)² + (y + 3)² = 16
center: (h, k) = (x, y) = (1, -3)
radius: 4

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Suppose a triangle has two sides of length 33 and 37 and that the angle between these two sides is 120 what is the length of the

Nutka1998 [239]

Answer:

60.65

Step-by-step explanation:

The Law of Cosines can help you figure this out. Call the given sides "a" and "b" and the given angle "C". Then the third side, "c" will satisfy the relation ...

c² = a² + b² -2ab·cos(C)

= 33² +37² -2·33·37·cos(120°) = 3679

c = √3679 ≈ 60.65476 ≈ 60.65

The length of the third side is about 60.65 units.

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3 years ago

using ruler and set square draw AB 8cm long. construct line PQ parallel to line AB such that distance apart is 2.5cm

svetoff [14.1K]

Step-by-step explanation:

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2 years ago

Solve the inequality for V. -8.3 _>_ V - 1.9

Arada [10]

First keep in mind that the given value is negative and that it is greater than or equal to whatever 'v' is.

$-8.3 \geq v - 1.9$

When solving for a variable in any equation, you do something to both sides in order to keep it equal. Here, v is being subtracted by 1.9; therefore we can add 1.9 to both sides in order to isolate the variable.

$-8.3 + 1.9 \geq v - 1.9 + 1.9$
$-6.4 \geq v$

Despite not needing a value for the question, it is worth noting that since this is an inequality, v can be any value from -6.4 to ∞ in order to make it true.

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3 years ago

9.3.2 Listed below are body temperatures from five different subjects measured at 8 AM and again at 12 AM. Find the values of d

kotegsom [21]

Answer:

$\frac{}{d}$ = −0.26

$s_{d}$ = 0.4219

Step-by-step explanation:

Given:

Sample1: 98.1 98.8 97.3 97.5 97.9

Sample2: 98.7 99.4 97.7 97.1 98.0

Sample 1 Sample 2 Difference d

98.1 98.7 -0.6

98.8 99.4 -0.6

97.3 97.7 -0.4

97.5 97.1 0.4

97.9 98.0 -0.1

To find:

Find the values of $\frac{}{d}$ and $s_{d}$

d overbar ( $\frac{}{d}$ ) is the sample mean of the differences which is calculated by dividing the sum of all the values of difference d with the number of values i.e. n = 5

$\frac{}{d}$ = ∑d/n

= (−0.6 −0.6 −0.4 +0.4 −0.1) / 5

= −1.3 / 5

$\frac{}{d}$ = −0.26

s Subscript d is the sample standard deviation of the difference which is calculated as following:

$s_{d}$ = √∑( $d_{i}$ - $\frac{}{d}$ )²/ n-1