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Airida [17]
3 years ago
9

If you are paid $238.74 for 211 2 hours of work, what amount should you be paid for 34 hours of work at this same rate of pay?

Mathematics
1 answer:
melamori03 [73]3 years ago
6 0

Answer:

3.84335227

Step-by-step explanation:

like the photo

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Grade 12<br>mathematics<br>(√98-√50)² ​
allsm [11]

Answer:

8

Step-by-step explanation:

Two different approaches:

<u>Method 1</u>

Apply radical rule √(ab) = √a√b to simplify the radicals:

√98 = √(49 x 2) = √49√2 = 7√2

√50 = √(25 x 2) = √25√2 = 5√2

Therefore,  (√98 - √50)² = (7√2 - 5√2)²

                                         = (2√2)²

                                         = 4 x 2

                                         = 8

<u>Method 2</u>

Use the perfect square formula: (a - b)² = a² - 2ab + b²

where a = √98   and   b = √50

So            (√98 - √50)² = (√98)² - 2√98√50 + (√50)²

                                      = 98 - 2√98√50 + 50

                                      = 148 - 2√98√50

Apply radical rule √(ab) = √a√b to simplify radicals:

√98 = √(49 x 2) = √49√2 = 7√2

√50 = √(25 x 2) = √25√2 = 5√2

Therefore,     148 - 2√98√50 = 148 - (2 × 7√2 × 5√2)

                                                 = 148 - 140

                                                 = 8

4 0
2 years ago
1. The midpoint of the segment joining points (a, b) and ( j, k) is: a. (j-a,k-b) b. ((j-a)/2,(k-b)/2) c. (j+a,k+b) d. ((j+a)/2,
harkovskaia [24]
1. The midpoint of the segment joining points (a, b) and ( j, k) is ((j+a)/2,(k+b)/2)

2. Let the coordinate of H be (a, b)
T(0, 4) = ((a + 0)/2, (b + 2)/2)
(a + 0)/2 = 0 => a + 0 = 0 => a = 0
(b + 2)/2 = 4 => b + 2 = (2 x 4) = 8 => b = 8 - 2 = 6
Therefore, the cordinate of H is (0, 6)

3. Point (-4, 3) lies in Quadrant II

4. Point (6, 0) lies on the x-axis

5. Any line with no slope is parallel to the y-axis

7. a is the value of the x-coordinate.
5a + 3 = 8
5a = 8 - 3 = 5
a = 5/5 = 1
a = 1

8. Equation of a circle is given by (x - a)^2 + (y - b)^2 = r^2; where (a, b) is the center and r is the radius.
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Therefore, its center point is (-5, 7)

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Therefore, its radius is 6

10. If the equation of a circle is (x - 2)^2 + (y - 6)^2 = 4, the center is point (2, 6).
True

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Which expression can be used to represent the phrase “four less than seven”?
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Answer:

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D.The puppy gains approximately 0.25 pound each week.

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