Answer:
1) 3 units
2)4 units
3) 5 units
4)10 units
Step-by-step explanation:
We can use the Distance Formula to find the distance between the two points given to us. The Distance Formula is for points (x1 , y1) & (x2 , y2) is
★ Distance = √[ (x2 - x1)² + (y2 - y1)²]
<u>1) (0,0) & (0,3)</u>
⇒ Distance = √ [ (3-0)²+(0-0)² ]
⇒ Distance = √ [ 3² ]
⇒ Distance = 3 units .
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<u>2</u><u>) (0,0) & (</u><u>4</u><u>,</u><u>0</u><u>)</u>
⇒ Distance = √ [ (4-0)²+(0-0)² ]
⇒ Distance = √ [ 4² ]
⇒ Distance = 4 units .
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<u>3) (0,0) & (4,3)</u>
⇒ Distance = √ [ (3-0)²+(4-0)² ]
⇒ Distance = √ [ 3²+ 4² ]
⇒ Distance = √ 9 + 16
⇒ Distance = √25
⇒ Distance = 5 units .
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<u>4</u><u>) (0,0) & (</u><u>8</u><u>,</u><u>6</u><u>)</u>
⇒ Distance = √ [ (8-0)²+(6-0)² ]
⇒ Distance = √ [ 8²+ 6² ]
⇒ Distance = √ 64 + 36
⇒ Distance = √100
⇒ Distance = 10 units .
Substitution Method:
3x - 10 = 2x - 5
3x = 2x + 5
x = 5
Now solving for y:
y = 3x - 10
y = 3(5) - 10
y = 15 - 10
y = 5
(x, y) = (5, 5)
Check answer:
5 = 3(5) - 10
5 = 15 - 10
5 = 5
5 = 2(5) - 5
5 = 10 - 5
5 = 5
Since all of the equalities are true, (5, 5) is a true solution
Answer:
- √7
Step-by-step explanation:
√63 = √9*7 = √9*√7
Sqrt(9) = 3
3√7 - 4√7 = -1√7= -√7
Answer:
45 degrees
Step-by-step explanation:
Answer:
the answer is 1.5 because converting them into their fractional form indeed informs u that 1.5 is thus greater than 2.25 BT lesser than 1
