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2 years ago

P is a prime number. Show that p²+6 could be either even or odd

1 answer:

6 0

p ² + 6 is even if p ² is even (the sum of two even numbers is even), and this happens only if p itself is even, i.e. if p = 2 since 2 is the only even prime.

All other primes p are odd, so p ² would be odd, and adding 6 would not change that (odd + even = odd).

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Answer problem below

garri49 [273]

Answer:

A = 2, B = 1, C = 28

Step-by-step explanation:

Find the slope of the line AB.

The slope:

m = (11 - 9)/(11 - 7) = 2/4 = 1/2

Since the altitude is perpendicular to AB, it has a slope of -2.

The line with the slope of -2 and passes through point C(6, 16).

Use point-slope equation to find the line:

y - 16 = -2(x - 6)
y - 16 = -2x + 12
y + 2x = 16 + 12
2x + y = 28

A = 2, B = 1, C = 28

7 0

2 years ago

Read 2 more answers

What’s 56 divided by ( -8 )

butalik [34]

Yea, -7 is the correct answer

7 0

2 years ago

Simplify 4/9 + 1/3 A 5/12 B 7/9 C 1 1/9 D 15/9

ELEN [110]

Answer:

B) 7/9

Step-by-step explanation:

<h3>Fraction addition:</h3>

If the denominators are not same, find the LCM of the denominators.

LCM of 3 and 9 is 9.

Now, find equivalent fractions with denominator as 9.

$\sf \dfrac{1}{3}=\dfrac{1*3}{3*3}\\\\$

$\sf =\dfrac{3}{9}$

Now add.

$\sf \dfrac{4}{9}+\dfrac{1}{3}=\dfrac{4}{9}+\dfrac{3}{9}\\\\$

$\sf =\dfrac{7}{9}$

4 0

1 year ago

Read 2 more answers

Solve the equation (linear equation) <img src="https://tex.z-dn.net/?f=8%5E%7B2x%2B7%7D%20%3D%20%28%5Cfrac%7B1%7D%7B32%7

Minchanka [31]

Answer: $x=-1$

Step-by-step explanation:

By the negative exponent rule, you have that:

$(\frac{1}{a})^n=a^{-n}$

By the exponents properties, you know that:

$(m^n)^l=m^{(nl)}$

Therefore, you can rewrite the left side of the equation has following:

$(\frac{1}{8})^{-(2x+7)}=(\frac{1}{32})^{3x}$

Descompose 32 and 8 into its prime factors:

$32=2*2*2*2*2=2^5\\8=2*2*2=2^3$

Rewrite:

$(\frac{1}{2^3})^{-(2x+7)}=(\frac{1}{2^5})^{3x}$

Then:

$(\frac{1}{2})^{-3(2x+7)}=(\frac{1}{2})^{5(3x)}$

As the base are equal, then:

$-3(2x+7)=5(3x)$

Solve for x:

$-6x-21=15x\\-21=15x+6x\\-21=21x\\x=-1$

8 0

3 years ago

I need help because I am so bad at algebra and it makes me cry every time

Natalka [10]

ST is not he midpoint of SN because y=15 and if you plug in you get SN to be 150 but ST is only 64 which is not half of 150

6 0

2 years ago