Answer:
Step-by-step explanation :The volume V of a prism is V = Bh, where B is the area of the base, h is the height of the prism.To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
Answer:
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
1
,
−
2
)
Focus:
(
1
,
−
23
12
)
Axis of Symmetry:
x
=
1
Directrix:
y
=
−
25
12
x
y
−
1
10
0
1
1
−
2
2
1
3
10
<span>You get a roaring friar place!</span>
Using the equation of the circle, it is found that since it reaches an identity, the point (√5, 12) is on the circle.
<h3>What is the equation of a circle?</h3>
The equation of a circle of center
and radius r is given by:

In this problem, the circle is centered at the origin, hence
.
The circle contains the point (-13,0), hence the radius is found as follows:



Hence the equation is:

Then, we test if point (√5, 12) is on the circle:


25 + 144 = 169
Which is an identity, hence point (√5, 12) is on the circle.
More can be learned about the equation of a circle at brainly.com/question/24307696
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Answer:
1. True
2. False
3. True
4. False
5. True
Step-by-step explanation:
1. For a real number a, a + 0 = a.
This is true, any number plus zero is that number.
2. For a real number a, a + (-a) = 1.
This is false. Adding a negative number is the same as subtracting that number. So a + (-a) = a - a = 0
3. For a real numbers a and b la-bl = |b-al.
This is true. Absolute value represents the distance between two numbers. This number can never be negative, therefore la-bl = |b-al.
4. For real numbers a, b, and c, a +(bº c) = (a + b)(a + c).
False. a + (b * c) = a + bc.
If you foil (a + b)(a + c) you will see its equal to a²+ab+ac+bc, which is definitely different than a + (b*c)
5. For rational numbers a and b when b# o, is always a rational number.
True, a rational number is one that can be written as a fraction with two integers. The quotient of two rational numbers can always be written as a fraction with integers.