Answer:
≈ 11.66 units
Step-by-step explanation:
<u>Given points:</u>
<u>To find:</u>
- The distance between the given points
<u>The distance between two points is calculated by formula:</u>
- d= √((x2-x1)² + (y2-y1)²)
- d= √(((7-(-3))² + (-1-5)²) = √(10²+(-6)²)= √136 ≈ 11.66 units
<u>Answer is</u> ≈ 11.66 units
Answer:
68
Step-by-step explanation:
1) Plug In (when you plug in you replace the defined variable with the number given. usually you have to find the numbers to plug in but since they're already given to you you just plug them in.) 4(3) + 8(7)=T T= total cost
2) Multiply 4*3=12 8*7=56
3) Add 12+56=68
4) <u>T=68</u>
Answer:
<h2>
y = - x </h2>
Step-by-step explanation:
The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:
m = -1
(-5, 5) ⇒ x₀ = -5, y₀ = 5
The point-slope form of the equation:
y - 5 = -1(x + 5)
So:
y - 5 = -x - 5 {add 5 to both sides}
y = -x ← the slope-intercept form of the equation
Answer:
A 100 lb person will weight 40 lb on Mars
Step-by-step explanation:
Given:
Weight on Mars directly varies as its weight on earth.
Let weight on Mars be = 
Let weight on Earth be = 
Its known that:
∝
Thus
where 
is constant of proportionality.
when 
, then 
thus, we have
dividing both sides by 95.
∴ 
Thus when 
, would be calculated as
∴ 
(Answer)
∴ A 100 lb person will weight 40 lb on Mars.
Answer:
The relationships are correct and valid
Step-by-step explanation:
The correct question is as follows;
Verify the following
i.[ -3/4]^3 = -27/64
ii. [-2/3]^6 = 64/ 729
We have the solution as follows;
i) we have;
(-3/4)^3
That means ;
-3^3 = -3^3 = -27
4^3 = 64
so;
(-3/4)^3 = -27/64
ii) (-2/3)^6
(-2)^6 = 64
3^6 = 729
Thus;
(-2/3)^6 = 64/729
