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alexdok [17]
3 years ago
11

(4, -1), (7, 4) find the distance between each pair of points

Mathematics
1 answer:
goldenfox [79]3 years ago
3 0

Answer:

Distance = \sqrt{(7-4)^{2}+(4+1)^{2}  } = 5.830951894845

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What are the X- and y- intercepts of the line? 2x + 3y = -12
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Subtract 2x from both sides. 

3y = - 2x - 12

Divide every term by 3 to get the y-variable by itself.

y = - 2/3x - 4

Since the equation is not in slope-intercept form (y = mx + b), your y-intercept is just the number in the b slot. Y-intercept is - 4 or (0, - 4).

Now to find your x-intercept, plug in 0 where the y-variable is and solve for x.

0 = - 2/3x - 4
4 = - 2/3x 

Multiply both sides by - 3/2 to isolate the variable. 

4(- 3/2) = x
- 12/2 = x
- 6 = x.

Your x-intercept is - 6 or (- 6, 0). 
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Now convert 3/8 to a decimal number by completing the long division. Remember to add 0s to the dividend as you work. Divide thro
VMariaS [17]

Answer:

you feel happy with the process on the long division page you can skip the first bit.

divide step 1 4 ÷ 25 = 0 remainder 4 The first number of the dividend is divided by the divisor.

divide step 2 The whole number result is placed at the top. Any remainders are ignored at this point.

divide step 3 25 × 0 = 0 The answer from the first operation is multiplied by the divisor. The result is placed under the number divided into.

divide step 4 4 − 0 = 4 Now we take away the bottom number from the top number.

divide step 5 Bring down the next number of the dividend.

divide step 6 43 ÷ 25 = 1 remainder 18 Divide this number by the divisor.

divide step 7 The whole number result is placed at the top. Any remainders are ignored at this point.

divide step 8 25 × 1 = 25 The answer from the above operation is multiplied by the divisor. The result is placed under the last number divided into.

divide step 9 43 − 25 = 18 Now we take away the bottom number from the top number.

divide step 10 Bring down the next number of the dividend.

divide step 11 185 ÷ 25 = 7 remainder 10 Divide this number by the divisor.

divide step 12 The whole number result is placed at the top. Any remainders are ignored at this point.

divide step 13 25 × 7 = 175 The answer from the above operation is multiplied by the divisor. The result is placed under the number divided into.

divide step 14 185 − 175 = 10 Now we take away the bottom number from the top number.

divide step 15 Now we have reached the end of the whole numbers we add a decimal place and the first zero. Notice the decimal point which has appeared on the answer line and by the dividend. It does not appear anywhere else.

divide step 16 Bring down the next number of the dividend.

divide step 17 100 ÷ 25 = 4 remainder 0 Divide this number by the divisor.

divide step 18 The whole number result is placed at the top. Any remainders are ignored at this point.

divide step 19 25 × 4 = 100 The answer from the above operation is multiplied by the divisor. The result is placed under the number divided into.

divide step 20 100 − 100 = 0 Now we take away the bottom number from the top number.

divide step 21

The subtraction has given zero. We stop when this happens. The answer is 17.4

As long as the subtraction gives a number above zero the long division can carry on to as many decimal places as we wish.

Answer: 435 ÷ 25 = 17.4 FOLLOW ME

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3 years ago
A shop has a 3 for 2 offer on chocolate bars The normal price of a chocolate bar is 72p Sian gets 3 chocolate bars from the shop
Agata [3.3K]

Answer:

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Step-by-step explanation:

From the above question, we are told that:

The shop has 3 for 2 offer on chocolate bars going on .This means a customer can buy 2 chocolates get 1 free, for the price of 2 chocolates, a customer can get 3 chocolates.

If the price of 1 chocolate bar = 72p

2 chocolate bars =

72p × 2

= 144p

Hence, Sian spends 144p

We are asked to convert our answer to pounds

The symbol p represent pence in money form

Hence,

100p(pence) = 1 pound

144p(pence) = x

100p × x = 144p × 1

x = 144p/100p

x = 1.44 pounds

Therefore, Sian spends 1.44 pounds

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