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 .
Answer:
m=4
n=3
Step-by-step explanation:
m+2n=10
2n+3m=18
Subtract
-2m=-8
m=4
Solve for n
(4)+2n=10
2n+3(4)=18
2n=10-4
2n=18-12
2n=6
n=3
Answer:
a=110 b=24
Step-by-step explanation:
Y= a(x-3)^2+6
2= a(0-3)^2+6
2=a(-3)^2+6
2=a(9)+6
2-6=9a
-4=9a
-4/9=a
Therefore the equation in vertex form is
y = -4/9 (x-3)^2+6
Answer:
60km/h
Step-by-step explanation:
90 ÷ 1.5
= 60
60 km/h