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beks73 [17]
4 years ago
12

Find a counterexample for the statement. If p is prime, then p2 + 4 is prime.

Mathematics
1 answer:
klio [65]4 years ago
5 0
If p is prime , then p could be 2.

p² + 4 could also be prime?  p = 2

2² + 4 = 4 + 4 = 8,  8 is not prime.

Therefore p = 2 is a counter example. In the sense that p = 2, does not support the statement that p² +  4 which is 8 in this case is a prime.

<span>So p = 2 is a counter example.</span>
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Can you please help me I’ll pay you £100
natima [27]

Answer:

The new points to the triangle will be:

A(-6, 6)\\B(-6, 3)\\C(-8, 3)

Step-by-step explanation:

Because the reflection point is at x = -1, all x values will subtract their distances from x = -1 to get their new values. The y values remain the same.

The starting values are:

A(4,6)\\B(4,3)\\C(6,3)

Point A is 5 units away from x = -1, so we'll subtract 5 from -1 to get the new x value: -1 - 5 = -6, so A(-6, 6).

Point B is also 5 unit away from x = -1, so we'll subtract 5 from -1 to get the new x value: -1 - 5 = -6, so B(-6, 3).

Point C is 7 units away from x = -1, so we'll subtract 7 from -1 to get the new x value: -1 - 7 = -8, so C(-8, 3).

7 0
2 years ago
Read 2 more answers
The graph of f(x) shown below has the same shape as the graph of g (x) = x^2 but it is shifted to the left 2 units. what is the
mariarad [96]

Answer:

  C.  F(x) = (x+2)²

Step-by-step explanation:

A horizontal shift to the right by "h" units is achieved by replacing x with (x-h). The shift we want is to the left by 2 units, so h = -2, and we have ...

  f(x) = g(x -(-2)) = g(x+2)

  f(x) = (x+2)²

8 0
4 years ago
Write equation for the ellipse with foci (9,0) and (-9,0) and endpoints on the verticle axis of (0,2) and (0,-2).
Inga [223]
See the answer on the attached 

6 0
3 years ago
Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent th
Effectus [21]

Answer:

y = 89 x = 123

Step-by-step explanation:

since they're both in standard form, its easier to do the process of elimination

x - y = 34

-x -y -212

------------------

-2y = -178

y = 89

now plug in y to any one of those two equations

x - y = 34

x - 89 = 34

x = 123

<em>to check:</em>

<em>x</em><em> </em><em>+</em><em> </em><em>y</em><em> </em><em>=</em><em> </em><em>2</em><em>1</em><em>2</em>

<em>1</em><em>2</em><em>3</em><em> </em><em>+</em><em> </em><em>8</em><em>9</em><em> </em><em>=</em><em> </em><em>2</em><em>1</em><em>2</em>

<em>2</em><em>1</em><em>2</em><em> </em><em>=</em><em> </em><em>2</em><em>1</em><em>2</em>

6 0
3 years ago
a line with slope 3 passes through point (0,10). What is the y-coordinate of the point on the line with x-coordinate 2
skad [1K]

The y-coordinate is 16

<h3><u>Solution:</u></h3>

Given that a line with slope 3 passes through point (0, 10)

To find the y-coordinate of the point on the line with x-coordinate 2

Which means the point is (2, y)

Let us find the required y co-ordinate using slope formula

<em><u>The slope of line is given as:</u></em>

For a line containing points (x_1 , y_1) and (x_2 , y_2) is given as:

\text {slope}=m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

\text {Here } x_{1}=0 ; y_{1}=10 ; x_{2}=2 ; y_{2}=y

Given that slope "m" = 3

Substituting the values we get,

\begin{array}{l}{3=\frac{y-10}{2-0}} \\\\ {3=\frac{y-10}{2}} \\\\ {6=y-10} \\\\ {y=10+6=16}\end{array}

Thus the y-coordinate is 16

8 0
3 years ago
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