Answer:
7) 28.8 in
8) 80.6 mm
9) 68.3 cm
(All answers to the nearest tenth)
Step-by-step explanation:
7) The traingle is a right-angled triangle since the 4 angles of a rectangle are right angles.
Applying Pythagoras' Theorem,
x²= 16² +24²
x²= 832
x= √832
x= 28.8 in (nearest tenth)
8) Applying Pythagoras' Theorem,
x² +40²= 90²
x²= 8100 -1600
x²= 6500
x= 80.6 mm (nearest tenth)
9) See the attached picture for better understanding.
1st picture shows the simplified diagram of the question, indicating where line x lies in the rectangular prism.
Now, if we cut the prism into half diagonally so that we obtain 2 equal triangular prism, we would obtain 2 prisms that look like the one drawn in picture 2.
Now zoom in to the blue face of the prism, we would get a triangle as shown in picture 3.
Let's find the value of y.
Applying Pythagoras' Theorem,
y²= 40² +54²
y²= 4516
y= √4516
Look at picture 2 again at focus at the pink shaded triangle. It has been re-drawn in picture 4.
Now we know that y= √4516.
Applying Pythagoras' Theorem,
x²= (√4515)² +12²
x²= 4660
x= √4660
x= 68.3 cm (nearest tenth)
Answer:
The answer is C
Step-by-step explanation:
We have f(x) function as below:
and the converted function g(x) is as mentioned below:
We can observe that:
f(x)=-g(x)
Therefore it can be said that this function reflected horizontally.
Note: please check the plot attached.
Answer:
The graph has two zeros namely 3 and 1.
Step-by-step explanation:
Consider the given equation of graph
According to the Fundamental Theorem of Algebra
For a given polynomial of degree n can have a maximum of n roots.
Thus, for the given equation the degree of polynomial is 2 , thus the function can have maximum of 2 roots.
We know at roots the value of function is 0 that is f(x) = 0,
Substitute f(x) = 0 , we get,
This is a quadratic equation,
We first solve it manually and then check by plotting graph.
Quadratic equation can be solved using middle term splitting method,
here, -4x can be written as -x-3x,
Using zero product property,
or
or
Thus, the two zero of f(x) are 3 and 1.
We can also see on graph attached below that the graph has two zeros namely 3 and 1.
