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4 years ago

11

Which statement is false ? 1. Every integer is also a real number , 2. No irrational number is rational , 3. Every integer is al

so an irrational number , 4. Every irrational number is also a real number ?

1 answer:

Whitepunk [10]4 years ago

3 0

Every integer is also an irrational number...false

-2 is an integer...and it is rational because it can be made into a fraction..-2/1

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Determine the surface area of the triangle prism below

nasty-shy [4]

Answer:

Myself answers:

Step-by-step explanation:

The surface area of the triangle prism, although not drawn to scale can only be:

D. 4320 square feet

4 0

3 years ago

Please help me!

nikklg [1K]

Explanation:

The solution set for a system of equation is the set of points where the graphs of the equations intersect.

__

<h3>general case</h3>

A system will have <em>one solution</em> if there is a <em>single point of intersection</em> of the graphs of the equations.

A system will have <em>no solutions</em> if the graphs have <em>no points of intersection</em>.

A system will have an <em>infinite</em> number of <em>solutions</em> if the graphs <em>intersect at an infinite number of points</em>.

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<h3>linear equations</h3>

When the equations are linear equations, their graphs are straight lines. If the lines have different slopes, they must intersect at exactly one point: there will be one solution.

If the lines have the same slope, there are two possibilities:

the lines are parallel -- no solutions
the lines are coincident -- infinite solutions

The attached graph illustrates these cases.

the red and blue lines are the graphs of a system of equations with one solution. Those lines have different slopes
the blue and green lines are the graphs of a system of equations with no solution. Those lines are parallel.
The red and (dotted) purple lines are the graphs of a system of equations with infinite solutions. Those lines are coincident.

8 0

2 years ago

Given segment AB with points (-4, 8) and (6, 3) respectively. Find the coordinates of point P that partitions Segment AB in the

netineya [11]

Answer:

$P = (2,5)$

Step-by-step explanation:

Given

$A(-4,8)$

$B(6,3)$

$m:n = 3 : 2$

Required

Determine P

Since P divides the segment into 3:2, P is calculated using

$P = (\frac{nx_1 +m x_2}{m+n},\frac{ny_1 + my_2}{m+n})$

Where

$(x_1,y_1) = (-4,8)$

$(x_2,y_2) = (6,3)$

$m:n = 3 : 2$

Substitute these values in the above formula:

$P = (\frac{2 * -4 +3 * 6}{3 + 2},\frac{2 * 8 + 3 * 3}{3 + 2})$

$P = (\frac{-8 +18}{3 + 2},\frac{16 + 9}{3 + 2})$

$P = (\frac{10}{5},\frac{25}{5})$

$P = (2,5)$

8 0

3 years ago

(4 - x ≤ -1) ∩ (2 + 3x ≥ 17)

DaniilM [7]

Step-by-step answer:

Given:

two inequalities:

4-x <= -1 ........................(1)

2+3x >= 17......................(2)

Required: find the solution of the intersection of inequalities.

Solution:

Solution to (1):

4-x <= -1 transpose

4+1 <=x simplify

5 <= x rewrite

x >= 5

Solution to (2)

2+3x >= 17

3x >= 17-2

3x >= 15

x >= 5

The intersection of the two solutions x>=5 and x>=5 is therefore x>=5

Check:

x=4, => 4-4 = 0 >1 so not a solution

x=4, => 2+3(4) = 14 < 17 so not a solution

x=5, => 4-5 = -1 so a solution

x=5, => 2+3(5) = 17, so a solution.

similarly for 6, 7, ....

3 0

3 years ago

What is the definition of the Angle Addition Postulate?

nasty-shy [4]

The angle addition postulates states that if an angle UVW has a point S lying in its interior, then the sum of angle UVS and angle SVW must equal angle UVW, or ?UVS + ?SVW= ?UVW.

8 0

3 years ago