Answer: 8
Explanation:
Form: y = mx + b
Where:
m is the slope
b is the y-intercept
We have:
10x + y = 8
y = -10x + 8
Thus, the y-intercept is 8

Convert decimals to fractions

Multiply both sides by 10

Move expression to the left.

Remove zero.

Solve the quadratic equation.

Remove parenthesis and calculate.

Add the numbers

Separate the solutions

The final solution are
Answer:

Step-by-step explanation:
see the attached figure with the letter D to better understand the problem
we know that
The segment side AD is the height of triangle ABC
so
Triangles PBQ and ABD are similar by AA Similarity Theorem
The area of triangle ABC is equal to

we have

substitute


Remember that
If two triangles are similar then the ratio of its corresponding sides is proportional
so

substitute the given values



Answer:
4.
Step-by-step explanation:
We are asked to find the value of expression
at
.
First of all, we will find the derivative of the given expression using "Quotient Rule of Derivatives" as shown below:






Therefore, our required derivative is
.
Now, we will substitute
in our derivative to find the required value as:






Therefore, the value of expression
at
is 4.
Answer:
72 in
Step-by-step explanation:
We know that 120 in is equal to the sum of the given height expressions.
(9x) +(7x-8) = 120
16x = 128 . . . . . . add 8 and simplify
x = 8 . . . . . . . . . . divide by 16
9x = girl's height = 9·8 = 72 . . . . inches
The height of the girl is 72 inches.