What are the excluded values of the function? y = 5/6x-72A.
x=0
B.
x=12
C.
x=72
D.
x=11
Answers
y=5/(6x-72)
==>6x-72≠0
==>x≠72/6
==>x≠12
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What is the quotient (x3 + 6x2 + 11x + 6) ÷ (x2 + 4x + 3)?x + 2 x – 2 x + 10 x + 6
45°
36°
30°
Answers
360° : 12 = 30°
Answer: D ) 30°
the answer is
d=30 degrees
Answers
Answer & Step-by-step explanation:
Make a fraction using the numerator:
Simplify the fraction. Both the numerator and the denominator are multiples of 3, so divide top and bottom by 3 to the lowest possible integer:
Insert into the equation:
:Done
You can use different numbers too
Answers
Answer:
19/15
Step-by-step explanation:
Give your answer in its simplest form.
Answers
Answer:
a = √a b = √5 c = √10
ac/b = (√a)(√10)/√5
= √ 10 × a /√5
= √10a / √5
Rationalize the surd
√10a ×√5/(√5)²
= √50a /5
= 5√2a/ 5
= √2a
The final answer is √2a
Hope this helps
Final answer:
You need to substitute the given values into the ac/b equation. After substitization and simplification, the equation ac/b simplifies to √2.
Explanation:
The equation that we need to evaluate is ac/b, using the variables a, b, and c given in the question. So, substituting the given values, we get:
a * c / b = √a * √10 / √5
Since a is equal to √a, we can replace a with √a in the equation, so it then becomes:
√a * √10 / √5 = √(a*10) / √5
Since a is √a, a*10 is therefore √10, so the equation becomes:
√10 / √5
That simplifies to √2 in its simplest form.
Learn more about Square Roots here:
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Answers
Answers
The shapes formed by vertical, angled, and horizontal cross-section of a rectangular prism are: vertical: rectangle, horizontal: rectangle and angled: parallelogram
What is a cross-section of an object?
A cross-section of a solid is a plane figure obtained by the intersection of that solid with a plane. The cross-section of an object therefore represents an infinitesimal "slice" of a solid, and may be different depending on the orientation of the slicing plane.
Given is a rectangular prism, we need to define its cross-section
The vertical and horizontal cross-section are fairly straight forward. They are simply mirror images of the outward showing faces.
The angled cross-section is a bit more complicated and there's a lengthy proof involved, but long story short, the angled cutting plane divides the 3D solid such that we have 2 sets of lines that have the same slope (if we consider a 2D view), which leads to 2 sets of parallel sides.
Hence, the shapes formed by vertical, angled, and horizontal cross-section of a rectangular prism are: vertical: rectangle, horizontal: rectangle and angled: parallelogram
Learn more about cross-section, click;
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L = 10
H = 6
W = 4
Imagine the shape is facing slightly towards your left
A left vertical cross section (perpendicular to the base) of the cuboid would result in a 10 by 6 rectangle
A right vertical cross section (perpendicular to the base) of the cuboid would result in a 6 by 4 rectangle
A horizontal cross section (parallel to the base) of the cuboid would result in a 10 by 4 rectangle
An angled cross section (through the middle) would also give a rectangle but the dimensions would be different. If the cut went from one '4' edge to the one in the opposite corner, the length of that would be found using Pythagoras
a² + b² = c²
6² + 10² = c²
36 + 100 = 136
√136 ≈ 11.66cm
11.66 by 4 rectangle
The shows that the resulting shape will always be a rectangle for these cross sections.
The only case in which it would not, would be if one of the faces of the cuboid was a square - in which case one of the cross sections would also be a square.