Answer:

<h3>♁ Question :</h3>
- Find the distance between ( 5 , -6 ) and ( 3 ,4 ).
<h3>♁
Step by step explanation:</h3>
Let the points be A and B. Now,
- Let, A ( 5 , -6 ) ⇢ ( x₁ , y₁ )
- Let, B ( 3 , 4 ) ⇢ ( x₂ , y₂ )
Use the distance formula to determine the distance between A ( 5 , -6 ) and B ( 3 , 4 ).

Substitute the actual value of the points into the distance formula and then simplify.

Remember : The positive and negative integer are always subtracted but posses the sign of the bigger integer.

Remember : ( - ) × ( - ) = ( + )

Add the numbers : 4 and 6

Evaluate the power

Add the numbers : 4 and 100

units
Therefore , The distance between ( 5 , -6 ) and ( 3 , 4 ) is
units .
And we're done!
Hope I helped!
Have a wonderful time ! シ
~TheAnimeGirl
Answer: r = 7 meters
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 3.14
From the information given,
Volume = 2,769.48 cubic meters
Height = 18 meters
Therefore,
2769.48 = 3.14 × r² × 18
2769.48 = 56.52r²
r² = 2769.48/56.52 = 49
Taking square root of the left hand side and the right hand side of the equation, it becomes
r = √ 49 = 7 meters
Answer:
2/15 pound of dog food
Step-by-step explanation:
John has 4/5 of a pound of dog food left to share equally among 6 dogs in his pet shop. How many pounds of food can he give to each dog?
From the above question, we can deduce that:
6 dogs = 4/5 pound of dog food
1 dog = x pound of dog food
Cross Multiply
6 dogs × x pound = 1 dog × 4/5 pound of dog food
x pound = 1 dog × 4/5 pound of dog food/6 dogs
x pounds = 4/5 ÷ 6
x pounds= 4/5 × 1/6
x pounds = 4/30
x pounds = 2/15 pound of dog food
Therefore,if the dog food is shared equally, he can give each dog 2/15 pound of dog food.
Answer:
quotient =-2x-1
Step-by-step explanation:
solve it by synthetic division,