We take the distance from points which indicates the location of the park and the mall.
For distance through north and east, we have positive values and negative for west and south.
Mall: (-3, -4)
Park: (3, 5)
The distance is calculate through the equation,
d = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)
Substituting,
d = sqrt ((-4 - 5)² + (-3 - 3)²
d = sqrt 117 = 10.82
Thus, the distance between the mall and the park is approximately 10.82 miles.
Answer:
n = 1
Step-by-step explanation:
First, rearrange the equation to standard form 0 = ax² + bx + c, when everything equals 0.
5n² = 5
5n² - 5 = 0
State the variables a, b and c.
a = 5; b = 0; c = -5
Substitute a, b, and c into the quadratic formula.

Substitute
Simplify inside the √ and bottom
Simplify the top
Final answer
Therefore the solution is n = 1.
The quadratic formula usually is written with x, but it can be solved with any variable in standard form.
Answer:
1
Step-by-step explanation:
There are 8 marbles.
All marbles are red.
p(red) = 8/8 = 1
Answer: 1
Answer:

Step-by-step explanation:
<u>Given expression</u>:

To factor a quadratic in the form
, first find two numbers that multiply to
and sum to
:


Two numbers that multiply to -36 and sum to 5 are: 9 and -4
Rewrite b as the sum of these two numbers:

Factorize the first two terms and the last two terms separately:

Factor out the common term (2x + 3):

Therefore:

<u>Answer:</u>
17650 in².
<u>Step-by-step explanation:</u>
Given that the base of cylinder is 39 inch and it's height is 33inches . We need to find the surface area of the cylinder . So we know the TSA of cylinder as ,
