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Goshia [24]
3 years ago
15

What are the coordinates of the point that is 1/6 of the way from a(14,-1) b(-4,23)

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
8 0

Answer:

\text{The coordinates of point is }P(a,b)=(\frac{80}{7}, \frac{17}{7})

Step-by-step explanation:

\text{Given the coordinates of point that is }\frac{1}{6}\text{ of the way from a(14, -1), b(-4, 23)}

\text{If a point }P(a, b)\text{ divides the line joining two points }(x_1,y_1)\text{ and }(x_2, y_2)\\ \text{ in the ratio m:n internally, then the coordinates of point P are given by}

P(a,b)=(\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n})

The two points given are a(14, -1), b(-4, 23) and ratio m:n=1:6

P(a,b)=(\frac{1(-4)+6(14)}{1+6}, \frac{1(23)+6(-1)}{1+6})

P(a,b)=(\frac{80}{7}, \frac{17}{7})

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kondor19780726 [428]
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Can someone pls help me with this question
disa [49]
The answer will be C. -3
6 0
3 years ago
56 = ?×?×?×? i want to know what number ecual yo 56 by multiplying it 4 times to get your answer
erma4kov [3.2K]

Answer:

4 * 14 = 56

Step-by-step explanation:

56/2 = 28

28/2 = 14

14/2 = 7

7/7 = 1

56 = 2 * 2 * 2 * 7

56 = (2 * 2) * (2 * 7)

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7 0
3 years ago
Clancy has 423 cups of yogurt to share with his friends at a party. Each guest will receive 1 serving of yogurt which is 34 of a
nikitadnepr [17]

Answer:

The equation needed is

\frac{3}{4}p=423

p=564\ friends

Step-by-step explanation:

<u><em>The correct question is</em></u>

Clancy has 423 cups of yogurt to share with his friends at a party. Each guest will receive 1 serving of yogurt which is 3/4 of a cup. Write a multiplication equation to determine the number of people, p, who can be invited to the party

we know that

Each guest will receive 3/4 of a cup of yogurt

so

using proportion

Find out the number of people, who can be invited to the party, if Clancy has 423 cups of yogurt to share with his friends

Let

p -----> the number of people

\frac{1}{(3/4)} =\frac{p}{423}

\frac{3}{4}p=423 -----> equation needed

p=\frac{423}{(3/4)}

p=\frac{423*4}{3}

p=\frac{1,692}{3}

p=564\ friends

8 0
3 years ago
Need formula and answers
serious [3.7K]
The top angle (10x+10) is equal to the angle below the lowest line and the skewed line. However, the 4x+2 is on the other side. But both together add up to 180° (a straight line).

So 10x+10 = 180-(4x+2) is the formula you're looking for.

Solving it:

10x+10 = 180-(4x+2) =>
10x+10 = 178-4x =>
14x = 168 =>
x = 12

Look up the theory for F angles and Z angles. 


7 0
3 years ago
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