Ms. Miller wants to give each of her students 1/4 of a pound of modeling clay. She has 26 students. How many pounds of modeling
1 answer:
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Solution:
Given that the point P lies 1/3 along the segment RS as shown below:
To find the y coordinate of the point P, since the point P lies on 1/3 along the segment RS, we have
Using the section formula expressed as
In this case,
where
Thus, by substitution, we have
Hence, the y-coordinate of the point P is
Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches. What is the side length, in inches, of the pet shop sign?
Answer:
the length of the sign is inches
Step-by-step explanation:
Given
Area of the square of design =
First we find the roots of equation
The roots of the quadratic equation are given by
where
That is, the factors of the polynomial are
and
.
So, Area of the square design = =
Area of a square = Length^2
Thus, the length of the sign is inches