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3 years ago

What is the distance between point G (-4,1) and point H(-12, 1)?

Mathematics

2 answers:

Alex17521 [72]3 years ago

4 0

B 8 units they are correct

Karolina [17]3 years ago

3 0

Answer:

The correct answer is B. 8 units.

Step-by-step explanation:

Since distance is only equal to absolute value, there is no need to worry about positive or negative integers. Just subtract a regular 12 - 4 to get 8 which is how far they are apart from each other. And there is the answer.

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Helpp!!<br> Simplify : [( 4 1/6 + 2 1/3 ) ÷ 4 1/3 ] - 1 1/2

Nadusha1986 [10]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{0}}}}}$

Step-by-step explanation:

$\sf{ [ (4 \frac{1}{6} + 2 \frac{1}{3} ) \div 4 \frac{1}{3}] - 1\frac{1}{2} }$

Convert the mixed numbers into improper fraction

$\longrightarrow{ \sf{ [ ( \frac{25}{6} + \frac{7}{3} ) \div \frac{13}{3}] - \frac{3}{2}}}$

Add the fractions : 25 / 6 and 7 / 3

While performing addition or subtraction of unlike fractions, you have to express the given fractions into equivalent fractions of common denominator and add or subtract as we do with like fraction.

To do so, first take the L.C.M of 6 and 3 which results to 6

$\longrightarrow\sf{ [( \frac{25 + 7 \times 2}{6} ) \div \frac{13}{3} ] - \frac{3}{2}}$

$\longrightarrow{ \sf{ [( \frac{25 + 14}{6} ) \div \frac{13}{3} ] - \frac{3}{2} }}$

$\longrightarrow{ \sf{ [ \frac{39}{6} \div \frac{13}{3}] - \frac{3}{2} }}$

Multiply the dividend by the reciprocal of the divisor.

Reciprocal of any number or fraction can be obtained by interchanging the position of numerator and denominator

$\longrightarrow{ \sf{ [ \frac{39}{6} \times \frac{3}{13} ] - \frac{3}{2}}}$

To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term

$\longrightarrow{ \sf{ [ \frac{39 \times 3}{6 \times 13} ] - \frac{3}{2}}}$

$\longrightarrow{ \sf{ [ \frac{117}{78} ] - \frac{3}{2} }}$

$\longrightarrow{ \sf{ \frac{3}{2} - \frac{3}{2} }}$

While performing the addition or subtraction of like fractions , you just have to add or subtract the numerator respectively in which the denominator is retained same

$\longrightarrow{ \sf{ \frac{3 - 3}{2} }}$

Subtract 3 from 3

$\longrightarrow{ \sf{ \frac{0}{2}}}$

Divide 0 by 2

$\longrightarrow{ \sf{0}}$

Hope I helped!

Best regards!

3 0

3 years ago

Evaluate the expression 12 - 3y +420-4) for y = 3.<br> 2

DiKsa [7]

Answer:

Step-by-step explanation:

7 0

3 years ago

Mr. Gardner is making 6 treat bags. He has 185 chocolate covered raisins to share evenly among the teat bags. How many chocolate

Hunter-Best [27]

Answer:

30 Chocolate covered raisins will be in each bag and 5 will be left over.

Step-by-step explanation:

In order to solve this, you must divide the number of Chocolate covered raisins by the number of bags you are making. 185 divided by 6 is 30 with 5 left over.

3 0

2 years ago

chelsea has four hours of free time on saturday. she would like to spend no more than 2/3 of an hour on each activity. how many

shutvik [7]

4 / (2/3) =
4 * 3/2 =
12/2 =
6 activities

OR

2/3(60) = 120/3 = 40 minutes per activity
40 hrs = (60 x 40) = 240 minutes
240/40 = 6 activities

4 0

3 years ago

Suppose two trains leave a certain station, at the same time, traveling in opposite directions. One train travels 1010 mph fas

sweet-ann [11.9K]

Answer: speed other the slower train is 46 mph.

speed other the faster train is 56 mph.

Step-by-step explanation:

Let x represent the speed of the slower train. One train travels 10 mph faster than the other. This means that the speed of the faster train is (x + 10) mph.

In 4.5 hours, the trains are 459 miles apart. This means that the total distance travelled by both trains in 4.5 hours is 459 miles.

Distance = speed × time

Distance travelled by the slower train in 4.5 hours is

4.5 × x = 4.5x

Distance travelled by the faster train in 4.5 hours is

4.5(x + 10) = 4.5x + 45

Since the total distance covered is 459 miles, therefore,

4.5x + 4.5x + 45 = 459

9x = 459 - 45 = 414

x = 414/9

x = 46 mph

Speed of the faster train is

46 + 10 = 56 mph

3 0

3 years ago