Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
we know that
The formula to solve a quadratic equation of the form

is equal to

Part 1)
in this problem we have

so

substitute in the formula

therefore


Part 2)
in this problem we have

so

substitute in the formula





therefore


Answer:
2
Step-by-step explanation:
Using the distance formula,

We just need to plug in the numbers.
So 
Then we simplify it to

Finally, we get
, which is
when simplified.
Answer:
The square root of 2, or the (1/2)th power of 2, written in mathematics as √2 or 21⁄2, is the positive algebraic number that, when multiplied by itself, equals the number 2. Technically, it is called the principal square root of 2, to distinguish it from the negative number with the same property
Step-by-step explanation:
Answer:
<h3>3cm</h3>
Step-by-step explanation:
Area of a triangle = 1/2 * base * height
Given
Area = 7 7/8cm²
Base = 5 1/4 cm
Required
Height of the triangle
Substitute;
7 7/8 = 1/2 * 5 1/4 * Height
63/8 = 1/2 * 21/4 * h
63/8 = 21H/8
63 = 21H
H = 63/21
H = 3cm
Hence the length of h is 3cm