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4 years ago

Explain why the highest common factor between 2 distinct prime numbers is one

Mathematics

2 answers:

Kitty [74]4 years ago

6 0

Answer:

Because the only factors a prime number has is itself and one, so both prime numbers would have only themselves and one, and one is the only one they have in common.

NISA [10]4 years ago

6 0

Answer:

The highest common factor between 2 distinct prime numbers is 1 because the only factors that creates a prime number is 1 times itself. This is only true when using full numbers. In this case, we are excluding fractions and decimals.

Step-by-step explanation:

For example: 2 and 41

1 × 2= 2; Nothing else when multipled equals 2

1 × 41= 41; Nothing else when multipled equals 41

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Geometry Homework: Find m<Q

White raven [17]

Answer: angle Q = 75 degrees

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

The tickmarks on segments PR and PQ indicate they are congruent, ie PR = PQ. Because of this, the base angles R and Q (opposite the segments mentioned) are congruent

Angle R = Angle Q
Since angle R is (2x+15) degrees, so is angle Q

Now use the idea that adding three angles of a triangle leads to 180 degrees
P+Q+R = 180
x+(2x+15)+(2x+15) = 180
5x+30 = 180
5x = 180-30
5x = 150
x = 150/5
x = 30

If x = 30, then angle Q is
angle Q = (2x+15) degrees
angle Q = (2*x+15) degrees
angle Q = (2*30+15) degrees
angle Q = (60+15) degrees
angle Q = 75 degrees

5 0

3 years ago

Hello can u help plz?

I am Lyosha [343]

Answer:

slope would be 3 or 3/1

Step-by-step explanation:

I think i'm not totally sure it could be -3 or -3/1

7 0

3 years ago

What is the solution for the equation -2(×-20)=44-×

choli [55]

Answer:

x= -4

Step-by-step explanation:

Using BODMAS, bracket first, multiply all in the bracket with -2, getting the answer, collect like terms and the answer is gotten

8 0

3 years ago

A triangle has vertices at (-9,2), (-9,-6), (-3,-6). What is the perimiter of the triangle in units?

vladimir2022 [97]

Answer:

The perimeter is 24 units

Step-by-step explanation:

Given

$A = (-9,2)$ --- $(x_1,y_1)$

$B = (-9,-6)$ --- $(x_2,y_2)$

$C = (-3,-6)$ --- $(x_3,y_3)$

Required

Determine the perimeter

To do this, we calculate the distance AB, BC and AC.

Distance is calculated as:

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2$

So, we have:

$AB = \sqrt{(-9 - -9)^2 + (2 - -6)^2$

$AB = \sqrt{64$

$AB = 8$

$BC = \sqrt{(-9 - -3)^2 + (-6 - -6)^2$

$BC = \sqrt{36$

$BC = 6$

$AC = \sqrt{(-9 --3)^2 + (2 --6)^2$

$AC = \sqrt{100$

$AC = 10$

So, the perimeter (P) is:

$P = AB + BC + AC$

$P =8 + 6 + 10$

$P =24$

3 0

3 years ago

Jarrett's puppy weighed 3 3/4 ounces at Birth. At 1 week old, the puppy weighed 5 1/8 ounces. At 2 weeks old, the puppy weighed

Ad libitum [116K]

Answer: The answer is $7\dfrac{7}{8}$ ounces.

Step-by-step explanation: Given in the question the weight of Jarrett's puppy at birth, one week old and 2 weeks old are as follows:

$b_0=3\dfrac{3}{4}=\dfrac{15}{4}~\textup{ounces},\\\\\\b_1=5\dfrac{1}{8}=\dfrac{41}{8}~\textup{ounces},\\\\\\b_3=6\dfrac{1}{2}=\dfrac{13}{2}~\textup{ounces}.$

We can see that

$b_1-b_0=b_2-b_1=\dfrac{11}{8}.$

So, the weight of the baby will make an arithmetic progression with first term 'a' and common difference 'd' as follows:

$b_0=\dfrac{15}{4},~~d=\dfrac{11}{8}.$

Thus, the weight of the puupy after 3 weeks will be

$b_3=b_0+3\times d=\dfrac{15}{4}+3\times\dfrac{11}{8}=\dfrac{30+33}{8}=\dfrac{63}{8}=7\dfrac{7}{8}~\textup{ounces}.$

5 0

4 years ago

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