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Hoochie [10]
2 years ago
10

In the equation x² + 64 = 16x, the roots are ____.​

Mathematics
2 answers:
Andru [333]2 years ago
5 0

Answer:

square roots are x, 8, 4x

Step-by-step explanation:

x^2 square root is x

64 square root is 8

16x square root is 4x

sweet [91]2 years ago
3 0
The answer will be x = 8.


I hope this helps you! :)
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9514 1404 393

Answer:

  1. rectangle; parallelogram with 90° angle
  2. 150 feet
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Step-by-step explanation:

1. The slope of AB is ...

  mAB = (yB-yA)/(xB-xA) = (4-0)/(6-3) = 4/3

The slope of AD is ...

  mAD = (yD-yA)/(xD-xA) = (6-0)/(-5-3) = 6/-8 = -3/4

The product of these slopes is (4/3)(-3/4) = -1, so the segments AB and AD are perpendicular.

The midpoints of AC and BD will be the same if the sum of their coordinates is the same:

  A+C = (3, 0) +(-2, 10) = (1, 10)

  B+D = (6, 4) +(-5, 6) = (1, 10)

The midpoints of the diagonals of ABCD are the same, so the figure is a parallelogram. One corner angle is 90°, so the parallelogram is a rectangle. The quadrilateral ABCD is a rectangle.

__

2.  Using the coordinate differences found in part 1, we know the length AB is the hypotenuse of a 3-4-5 triangle, so is 5 grid squares. Similarly, the length of AD is twice that length, so is 10 grid squares. The perimeter in grid squares is ...

  P = 2(L+W) = 2(10+5) = 30 . . . . grid squares

Each grid square represents 5 ft, so the perimeter is ...

  (30 squares)(5 ft/square) = 150 ft . . . perimeter

__

3. The rectangle is 5 × 10 grid squares, or 25 × 50 ft. Then its area is ...

  A = LW = (50 ft)(25 ft) = 1250 ft²

At $0.03/ft², the payment for mowing would be ...

  ($0.03/ft²)(1250 ft²) = $37.50

The $40 flat rate would make you the most money.

5 0
2 years ago
What is the opposite of 48? <br> A. –84 B. –48 C. 48 D. 84
Aleksandr [31]
It's B Dat is dat is right
7 0
3 years ago
P=2^(43112609)-1 Suppose you have traveled to a faraway place where the base of the number system is 37 . (The inhabitants of th
AfilCa [17]

Answer:

  8,275,842 digits

Step-by-step explanation:

One more than the floor of the logarithm to the base 37 gives the number of digits. The change of base formula can be used.

  \log_{37}{(2^{43112609}-1)}\approx\dfrac{43112609\log{2}}{\log{37}}\approx 8275841.2

Expressed in the base-37 number system, P has 8275842 digits.

6 0
3 years ago
If f(x) = 9x2 − x3, find f '(1) and use this value to find an equation of the tangent line to the curve y = 9x2 − x3 at the poin
yaroslaw [1]

Answer:

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3 years ago
5) Select the best method to solve the system.
MrMuchimi

Answer:

elimination

Step-by-step explanation:

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3 years ago
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