By stacking 12 metal sheets, each 1.2 mm thick, on top of one another, the combined thickness will be 1.44 cm (14.4 mm).
To achieve a thickness of 1.44 cm, the metal sheets must be stacked on top of each other.
Since the thickness of each individual metal sheet is 1.2 mm, we need to find the number of sheets required to reach 1.44 cm.
First, we convert 1.44 cm to mm, which is 1.44 cm × 10 mm/cm = 14.4 mm.
Next, we divide the total thickness (14.4 mm) by the thickness of each metal sheet (1.2 mm):
Number of sheets = 14.4 mm / 1.2 mm
= 12
Therefore, to achieve a thickness of 1.44 cm, you need to stack 12 metal sheets on top of each other.
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A. x-intercepts: (1,0), (7,0)
B. Vertex: (3,-16)
C.Vertex: (-3,20)
D. Vertex: (3, 20)
E. x-intercepts: (-1,0). (7.0)
F. x-intercepts: (1.0), (-7,0)
The vertex and intercepts of the graph of will be and , respectively.
A vertex in a quadratic equation is the minimum or maximum point of the equation and anintercept of a graph is the point at which the graph intersects the axis.
Vertex form,
We have,
Now,
Find the intercept and to find intercept put ;
i.e.
Now using Mid-term split method find value of ;
⇒
⇒
So, these are the intercept of the expression.
Now find the vertex using the above given formula;
Rewrite in vertex form
Add and subtract in given expression;
Now convert quadratic part of equation in ;
Now compare it with
We get,
So, these are the vertex of expression.
Hence, we can say that the vertex and intercepts of the graph of will be and , respectively.
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(4x + 40)degrees and 3x
first (shortest) side = x
second side = x + 5
third side = 2x - 5
the perimeter = 64 ft and is equal x + (x + 5) + (2x - 5)
x + x + 5 + 2x - 5 = 64
4x = 64 |:4
x = 16 ft
x + 5 = 16 + 5 = 21 ft
2x - 5 = 2(16) - 5 = 27 ft
Answer: 16ft, 21ft and 27ft.
A. 30+6p
B. 30p
C. 30+p
D. 11p
B. {(3, 4), (-3, 8), (6, 8)}
C. {(-3, 4), (3,-8), (3, 8)}
D. {(-3, 4), (3,5), (-3, 8))
Answer:
B
Step-by-step explanation:
Recall that functions are defined only if for each value in the domain produces one and only one value in the range.
If we view the relations in the questions as x-y coordinates, this means that for every x-value, you can only have one y-value
Lets evaluate the options:
A) we can see that for x = -3, this gives 2 possible values for y i.e (-3,4) and (-3,8) (hence this is not a function)
C) we can see that for x = 3, this gives 2 possible values for y i.e (3,-8) and (3,8) (hence this is not a function)
D) we can see that for x = -3, this gives 2 possible values for y i.e (-3,4) and (-3,8) (hence this is not a function)
the only choice where this doesn't occur is choice B