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Nonamiya [84]
3 years ago
11

A plane intersects the prism perpendicular to the base, intersecting opposite sides of the base. Which best describes the cross

section?
Mathematics
1 answer:
hammer [34]3 years ago
3 0

Answer:

Step-by-step explanation:

For a rectangular prism, a plane intersecting this prism produces a two dimensional figure as its cross section and in this case the cross section is a rectangle.

For a triangular prism, a plane intersecting this prism produces a two dimensional figure as its cross section and in this case the cross section is a triangle.

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Given square JKLM and t(-6,4) t (1,5) ​(JKLM)​RSTU, what is the area of​ RSTU?
Dafna1 [17]

Answer:

  • 144 cm²

Step-by-step explanation:

<u>The given translation doesn't change the shape or dimensions, hence the area remains same:</u>

  • A = a² = (12 cm)² = 144 cm²
5 0
2 years ago
Read 2 more answers
Grade Salary GS-1 $1,461 GS-2 $1,591 GS-3 $1,793 GS-4 $2,013 GS-5 $2,252 The table shows the monthly salaries for different grad
lawyer [7]

The range is the difference between the highest and lowest pays.

Highest pay: GS-5 - 2,252

Lowest pay: GS-1 - 1,461

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6 0
4 years ago
Which operation between two polynomials will not always result in a polynomial?
Assoli18 [71]
In order to build a polynomial we need one or more terms. A term is a number, variable (denoted by a letter) or any combination of numbers and variables held together by multiplication. The following are examples of terms:

5, 3x, -5ab c^{2},  \frac{2x^{3}y }{5},  x^{6}

Now it might look like one of those involves division but it can be thought of as multiplication by (2/5). When we do this the exponents must be positive.

Polynomials are expressions made up of terms held together by addition and subtraction. Again, the exponents must be positive. Since polynomials are made up of the sum or difference of terms, adding or subtracting polynomials just leads to more polynomials. Here are some examples of Polynomials:

4xy-3 x^{2} +7,  \frac{2x}{5}-3abc-5j

Now let’s consider what happens if we multiply polynomials. As an example we use: (x+5)(2x-y)=2 x^{2} +10x-xy-5y

What you might notice is that multiplication will lead us to multiply terms (but multiplying terms gives us more term,as) and also to add or subtract terms but that just gives more polynomials. Therefore multiplication leads to more polynomials.

Finally, we consider division. Here a simple example will do the trick: 2 is a term and x is a term. Let us divide 2 by x. We get: \frac{\2}{x}=2 x^{-1}  which is not a polynomial because we have a negative exponent. 

Thus, the answer to your question is division. Division of polynomials will not always result in a polynomial.

_______END OF ANSWER___________
 is. 
5 0
3 years ago
According to synthetic division below, which of the following statements are true ?
Whitepunk [10]

ANSWER

C

E

F

EXPLANATION

The result of the synthetic division is :

3 -1 0

The last number is the remainder which is 0

The first two numbers are the coefficients of the quotient.

Therefore the quotient is 3x -1

Since the remainder is 0, x-4 is a factor of

f(x) = 3 {x}^{2}  - 13x +  4

This also means that:

(3 {x}^{2}  - 13x +  4)  \div (x - 4) = 3x - 1

This again means that x=4 is a root of

f(x) = 3 {x}^{2}  - 13x +  4

The correct choices are C,E and F.

4 0
4 years ago
Y varies directly with x, and y = 15 when x = 3. What is the value of x when y = 4?
Naddika [18.5K]
3/15 = x/4
cross multiply
15x = (4)(3)
15x = 12
x = 12/15
x = 4/5 <==
8 0
3 years ago
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