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Svetach [21]
3 years ago
5

X2+ 1 = 9

Mathematics
1 answer:
Aleks04 [339]3 years ago
3 0

Answer:

X = 4

Step-by-step explanation:

x2 + 1 = 9

We have to cross 1 over to the other side so that x becomes a value on its own. Because we are it over, the addition sign changes to subtraction which makes the expression,

x2 = 9- 1

x2 = 8

For x to stand alone we have to divide both sides by 2

x 2/2 = x

and 8/2 = 4

Therefore x=4 (Answer)

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Answer:

D. Infinite solutions

Step-by-step explanation:

Any solution where a number equals itself represents infinite amount of solutions.

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If they immediately ran in opposite directions with speeds of 180 feet per minute and 120 feet per minute respectively, how many
Olin [163]
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1Joe gets a job picking fruit. Joe is paid $5 for every bushel of apples he
steposvetlana [31]

Answer:

B

Step-by-step explanation:

The number of bushels of apples he picks (B) would be times by 5 as he would earn that much per bushel to get his pay (P)

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3 years ago
The vertices of a triangle are (-1,3) (6,3) and (-1,-4)
Travka [436]

Answer:

24.5 unit²

Step-by-step explanation:

Area of ∆

= ½ | x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂) |

= ½ | (-1)(3 -(-4)) + 6(-4 -3) + (-1)(3 - 3) |

= ½ | -7 - 42 |

= ½ | - 49 |

= ½ (49)

= 24.5 unit²

<u>Method 2:</u>

Let the vertices are A, B and C. Using distance formula:

AB = √(-1-6)² + (3-3)² = 7

BC = √(-6-1)² + (-4-3)² = 7√2

AC = √(-1-(-1))² + (4-(-3))² = 7

Semi-perimeter = (7+7+7√2)/2

= (14+7√2)/2

Using herons formula:

Area = √s(s - a)(s - b)(s - c)

here,

s = semi-perimeter = (14 + 7√2)/2

s - a = S - AB = (14+7√2)/2 - 7 = (7 + √2)/2

s - b = (14+7√2)/2 - 7√2 = (14 - 7√2)/2

s - c = (14+7√2)/2 - 7 = (7 + √2)/2

Hence, on solving for area using herons formula, area = 49/2 = 24.5 unit²

3 0
2 years ago
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