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Leviafan [203]
3 years ago
14

Identify the equation in slope-intercept form for the line with the given slope that contains the given point. Slope =2; (1,4)

Mathematics
1 answer:
Elina [12.6K]3 years ago
3 0

Slope-intercept form: y=mx+b, with m being the slope and b being the y-intercept. First, plug in the given slope into the slope form:

y=2x+b

Now, given the coordinates (1,4), you can plug the coordinates into the equation for x and y respectively, to solve for b (the y-intercept).

4=2(1)+b

4=2+b

Subtract 2 from both sides.

2=b

The y-intercept is 2.

Now, plug that into the equation:

y=2x+2

The answer is y=2x+2.

I hope this helps :)

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There are 4 generations. Daughter, mother, grandma, and great-grandma. The daughter is 44 less than the grandma's age. The great
Snezhnost [94]

Answer:

Age of Grandma = 59 years.

Age of great Grandma = 81 years

Ages of Mother = 38 years

Age of Daughter = 15 years

Step-by-step explanation:

Given:

Total years they all lived = 193

We need to find the ages of all lady.

Solution:

Let the age of grandma be 'x'.

Now Given:

The daughter is 44 less than the grandma's age.

So we can say that;

Age of the Daughter = x-44

The great-grandma is 22 more than the grandma's age.

So we can say that;

Age of the great grandma  = x+22

The mother is 80 less than twice the grandma's age.

So we can say that;

Age of the mother  = 2x-80

Now we can say that;

Total years they all lived  is equal to sum of age of grandma, Age of the Daughter, Age of the great grandma, Age of the mother.

framing in equation form we get;

x+x-44+x+22+2x-80=193\\\\5x-102=193

Adding both side by 102 we get;

5x-102+102=193+102\\\\5x= 295

Dividing both side by 5 we get;

\frac{5x}{5}=\frac{295}{5}\\\\x= 59\ years

Hence Age of Grandma = 59 years.

Age of great Grandma = x+22 =59+22 = 81\ years

Ages of Mother = 2x-80= 2\times 59-80 = 38\ years

Age of Daughter = x-44=59-44=15\ years

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3 years ago
If sally has 566 books but has 5 box’s how many books goes into each box?
Bogdan [553]

All we have to do here is divide how many books she has (566) by how many boxes she has (5)

566 ÷ 5 = 113.2

We can round 113.2 to 113

Therefore about 113 books will be in each box

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3 0
3 years ago
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Add -3 5/6 + 5 3/7<br><br> A.) 1 25/42<br> B.) 2 8/13<br> C.)-9 11/42<br> D.) 1 27/42
Fantom [35]

Answer:

A. 1 25/42

Step-by-step explanation: =-3 5/6 +5 3/7

= (-23/6)+ (38/7)

=(-161+228)/42

=-67/42

8 0
3 years ago
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ale4655 [162]

Answer:

Step-by-step explanation:

Going down by each column it would be 7,17,24

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Estimate the value of 102. ÷ 4.7
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Answer:

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