CLAY A potter crafts a triangular prism out of clay.
1 answer:
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Answer:
PQ = 5 units
QR = 8 units
Step-by-step explanation:
Given
P(-3, 3)
Q(2, 3)
R(2, -5)
To determine
The length of the segment PQ
The length of the segment QR
Determining the length of the segment PQ
From the figure, it is clear that P(-3, 3) and Q(2, 3) lies on a horizontal line. So, all we need is to count the horizontal units between them to determine the length of the segments P and Q.
so
P(-3, 3), Q(2, 3)
PQ = 2 - (-3)
PQ = 2+3
PQ = 5 units
Therefore, the length of the segment PQ = 5 units
Determining the length of the segment QR
Q(2, 3), R(2, -5)
(x₁, y₁) = (2, 3)
(x₂, y₂) = (2, -5)
The length between the segment QR is:
Apply radical rule:
Therefore, the length between the segment QR is: 8 units
Summary:
PQ = 5 units
QR = 8 units
<u>Answer:</u>
The value of f(x) = when x=3 is 19, hence the correct option is ‘d’.
<u>Solution:</u>
A two degree polynomial equation is given in the question.
The equation is:
We need <em>to find the value of f(x) when the value of x is 3. </em>
To solve a question like this we have to substitute the given value of x in the given equation and then simplify it.
Now let's substitute the value of x in the given equation.
First we square the number 3 and then multiply it with 2 and then add 1.
This is done because of the BODMAS rule, in which multiplication is given higher preference as compared to addition.
On solving the equation we get,
F(x)=2×9+1
F(x)=18+1
F(x)=19.
Therefore the value of f(x) when x=3 is 19.
Hence the correct option is ‘d’.