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Pavlova-9 [17]
2 years ago
6

use the point-slope equation to identify the slope and the coordinates of a point on the line y – 4 = 1/2 (x – 1). the slope of

the line is . a point on the line is

Mathematics
2 answers:
mihalych1998 [28]2 years ago
7 0

Answer:

The slope of the line is \dfrac{1}{2} and a point on the line is (1, 4)  

Step-by-step explanation:

The general point slope of line passing through (x_1,y_1) and having slope as m.

y-y_1=m(x-x_1)

The given equation of the straight line,

y-4=\dfrac{1}{2}(x-1)

Comparing this to the general equation we get the point as (1, 4) and slope as \dfrac{1}{2}

Elden [556K]2 years ago
7 0

we know that

The equation of the line into point-slope form is equal to

y-y1=m(x-x1)

where

m is the slope

(x1,y1) is the point

In this problem we have

y-4=\frac{1}{2}(x-1)

therefore

<u>The slope is equal to</u>

m=\frac{1}{2}

<u>The point is equal to</u>

(1,4)

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Jana earns $25 per week for mowing the lawn and deposits the money into her savings account. The amount of money in Jana’s accou
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Answer:

  The amount of money in the account in addition to that earned from mowing lawns.

Step-by-step explanation:

125 is the amount in the account when 0 weeks are spent mowing lawns. Presumably, it is the initial value of the account before the first lawn money is added.

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Diane reed had office supply sales of $3,285 this month. this is a 78% of last months supply sales. what was the amount of last
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To solve this problem, we can set up an equation, letting the unknown value of last month's supply sales be represented by the variable x.

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78/100 = 0.78

Now, we are ready to set up our equation, using our knowledge that the word "of" refers to multiplication in mathematics.

3,285 = 0.78x

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8 0
2 years ago
Simplify: -3(y + 2)^2– 5 + 6y<br> What is the simplified product in standard form?
Ymorist [56]

-3(y²+4y+4) - 5 +6y

-3y² - 12y - 12 -5 + 6y

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-(3y²+6y+17)

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Read 2 more answers
Myra asked Annabelle to buy her some perfume while she was in France. Annabelle paid 200 euros for it. Myra wants to pay Annabel
serious [3.7K]

Answer:

286

Step-by-step explanation:

Given : Myra asked Annabelle to buy her some perfume while she was in France. Annabelle paid 200 euros for it. Myra wants to pay Annabelle back in U.S. dollars.

To Find:  If the foreign exchange rate between the U.S. dollar and the euro is 1:0.7, how much should Myra pay Annabelle?

Solution:

Since Annabelle paid 200 euros

And Myra wants to pay Annabelle back in U.S. dollars.

Let Myra paid amount to Annabelle in U.S. dollar be x

We are also given that  the U.S. dollar and the euro is 1:0.7

⇒\frac{1}{0.7}=\frac{x}{200}

⇒\frac{1*200}{0.7}=x

⇒\frac{200}{0.7}=x

⇒285.7=x

⇒285.7≈286

Thus Myra should pay $286 to Annabelle



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