Answer:

Step-by-step explanation:
They give us the slope so this makes it a lot easier.
Slope intercept formula is
y=mx+b
(m) is slope
(b) is y intercept
we can apply our slope into the formula
y=-3/2x+b
Now we can replace (y) with the (y) from the ordered pair they gave us (4, 10), and replace the (x) with the (x) from the ordered pair they gave us
(4, 10)
10=-3/2(4)+b
Now solve
10=-6+b
Add 6 to each side
16=b
Now we we put both our slope and intercept into the formula.

Answer:
5 sqrt2.
Step-by-step explanation:
5 sqrt 8 - sqrt 18 - 2 sqrt 2
= 5 sqrt(4*2) - sqrt(9*2) - 2 sqrt2
= 5 sqrt4*sqrt 2 - sqrt 9*sqrt 2 - 2 sqrt2
= 10 sqrt2 - 3 sqrt2 - 2 sqrt 2
= 5 sqrt2.
Answer:
Step-by-step explanation:
The sum of angles in a triangle is always 180 degrees.
x+40+80=180
x+120=180
x=60 degrees
Answer:
The correct option is;
A. Randomized block design
Step-by-step explanation:
A randomized block design is one where the sample or subjects of the experiment are split into groups called blocks of experimental units where the variation in each block is lower than the variation among or between blocks, such that variation is controlled. In a random order, the treatments are performed on each experimental of the blocks.
In the question, the experimental units are grouped by gender and the treatment (consumption of chocolate or placebo) is randomly administered to the experimental units.
Given:
Consider the given expression is:

To find:
The simplified form of the given expression.
Solution:
We have,

Using distributive property, it can be written as:



Therefore, the correct option is A.