100 = 10 × 10
100 = 2 × 5 × 2 × 5
100 = 2² × 5²
The prime factorization of 100 is 2² × 5².
She should plant 14 plants in each row
Step-by-step explanation:
Given
Total pepper plants = 196
As the plants have to be in square shape, the number of rows and the plants in each row will be equal
Let x be the number of rows
Then

Taking square root on both sides

Hence,
She should plant 14 plants in each row
Keywords: Square root, Radicals
Learn more about square root at:
#LearnwithBrainly
First picture:
You got the first two right (good job!), so I'll just tackle the third one. If you have to compute
, it means that you have to substitute
in place of
. Differently from the first two points, this will generate a new function, rather than a specific value:

Second picture:
Given the point
highlighted in the picture, you can deduce that the base is
units long (since it spans from
to
) and the height is
units long (because it spans from
to
). So, the area of the rectangle is the multiplication between base and height:

But we know that
, so we have

The domain of this function is given by the domain of the square root: we want its argument to be non, negative, so we have

But since the problem is symmetric, the answer is

You can only see the answer
because, if you choose
or
, the rectangle degenerates to a segment, and your exercise doesn't like this scenario, apparently
Answer:
y = 8 + x or
Keesha.cousin.age = 8 + Keesha.age
Step-by-step explanation:
II. When Keesha.cousin is older than Keesha 8 years
Give y = 8 + x, when y is Keesha cousin.age, x is Keesha.age
y = 8 + x
II. Prove by given Keesha is 10 years old.
y = 8 + 10
y = 18 or Keesha cousin is 18 years old.
Hope that help :)