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2 years ago

Find the GCF 0f 12 and 18

Mathematics

1 answer:

melisa1 [442]2 years ago

8 0

Answer:

Step-by-step explanation:

Using Euclid's algorithm, we divide the larger by the smaller. If the remainder is zero, the divisor is the GCF. Otherwise, we replace the larger with the remainder and repeat.

18 ÷ 12 = 1 r 6

12 ÷ 6 = 2 r 0 . . . . the GCF is 6

You can also factor the numbers and see what the common factors are.

18 = 2·3·3

12 = 2·2·3

The common factors are 2·3 = 6.

In the factorizations, we see 2 to powers of 1 and 2, and we see 3 to powers of 1 and 2. The GCF is the product of the common factors to their lowest powers: (2^1)(3^1) = (2)(3) = 6

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In a city, the distance between the library and the police station is 3 miles less than twice the distance between the

telo118 [61]

Answer:

C. 4 miles

Step-by-step explanation:

Let the distance between police station and the fire station be x.

According to question we have:

the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station,
the distance between the library and the police station is 5 miles.

It can be expressed as:

5 = 2x - 3

Solve the equation for x:

2x = 5 + 3
2x = 8
x = 4

<u>Correct choice</u> is C

7 0

2 years ago

Name the geometric solid suggested by a beach ball

tino4ka555 [31]

Answer:

Sphere

Step-by-step explanation:

we know that

A sphere is a round, ball-shaped solid

The geometric solid suggested by a beach ball is a sphere

see the attached figure to better understand the problem

6 0

3 years ago

How many times does the minute hand on the clock pass 6

julsineya [31]

Answer:

12 times a day.

Step-by-step explanation:

The minute hand will pass 6 on a clock from midnight to noon each day for 12 times a day.

3 0

2 years ago

Read 2 more answers

Please help me no bs

Nataly_w [17]

Answer:

what do you need help with? and thank you for the points! Once you tell me what you need help with I will write the answer in the comments!

Step-by-step explanation:

3 0

2 years ago

the line joining A(a, 3) to B(2 -3) is perpendicular to the line joining C(10,1) to B. The value of a is?

RideAnS [48]

Well, first off, let's find what is the slope of BC

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
B&({{ 2}}\quad ,&{{ -3}})\quad 
% (c,d)
C&({{ 10}}\quad ,&{{ 1}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{1-(-3)}{10-2}\implies \cfrac{1+3}{10-2}
\\\\\\
\cfrac{4}{8}\implies \cfrac{1}{2}$

now, a line perpendicular to that one, will have a negative reciprocal slope, thus

$\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad \cfrac{1}{2}\\\\
slope=\cfrac{1}{{{ 2}}}\qquad negative\implies -\cfrac{1}{{{ 2}}}\qquad reciprocal\implies - \cfrac{{{ 2}}}{1}\implies \boxed{-2}$

now, we know the slope "m" of AB is -2 then, thus

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
A&({{ a}}\quad ,&{{ 3}})\quad 
% (c,d)
B&({{ 2}}\quad ,&{{ -3}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-3-3}{2-a}=\boxed{-2}
\\\\\\
\cfrac{-6}{2-a}=-2\implies -6=-4+2a\implies -2=2a\implies \cfrac{-2}{2}=a
\\\\\\
-1=a$

6 0

2 years ago