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Lorico [155]
3 years ago
15

Simplify 2⁰+5¹+4³/7​

Mathematics
1 answer:
Mkey [24]3 years ago
4 0

Answer:

10

Step-by-step explanation:

2^0 = 1

5^1  = 5

4^3 = 4 x 4 x 4

=> 16 x 4

=> 64

=> 1 + 5 + 64 / 7

=> 6 + 64 / 7

=> 70 / 7

=> 10

So, the answer is 10

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Triangle def has vertices d(2,-5) e(6,-1) and f(5,6) verify that def is isosceles
goldfiish [28.3K]
To prove that the given triangle is an isosceles, two of its sides must have equal lengths.

Between D(2,-5) and E(6,-1):
d = √(6 - 2)² + (-1 - ⁻5)² = 4√2

Between E(6,-1) and F(5,6):
d = √(5 - 6)² + (6 - ⁻1)² = 5√2

Between D(2,-5) and F(5,6)
d = √(5 - 2)² + (6 - ⁻5)² = √130

<em>Since there are no equal lengths, the triangle is NOT an isosceles triangle.</em>

The bisector of angle F is a line segment from vertex F to the midpoint of line DE.

Midpoint: x = (2+6)/2 = 4; y = (-5+-1)/2 = -3
The midpoint is at (4,-3).
The equation of the line follows the point-slope formula:
y - y₁ = [(y₂ - y₁)/(x₂ - x₁)](x - x₁)
Substituting using points (5,6) and (4,-3)
y - 6 = [(⁻3 - 6)/(4 - 6)](x - 5)
y - 6 = (9/2)(x - 5)
2(y - 6) = 9(x - 5)
2y - 12 = 9x - 45
<em>2y - 9x = -33 </em>

4 0
3 years ago
Write 2 in the form of a fraction (a/b).
Yuri [45]

Answer:

23/8

Step-by-step explanation:

6 0
2 years ago
Please i need some questions please forward it to me.<br>cause i need some points if you would mind​
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Answer:

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Step-by-step explanation:

6 0
3 years ago
Need help with questions 18,20, and 22 please and thank you
Tatiana [17]

Answer:

18. x² + x - 4

20.  \frac{x^{2} +2x-3}{x+1} or  x + 1 - \frac{4}{x+1}

22. x² + 2x - 2

Step-by-step explanation:

For some reason my work was unable to be submitted so please see attachment for detailed explanation

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3 years ago
Loss of traction to the rear tires can result in __________ .
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HOPE THIS HELPS!!!
6 0
3 years ago
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