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yKpoI14uk [10]
3 years ago
7

Find the equation of the line.

Mathematics
2 answers:
vesna_86 [32]3 years ago
6 0

Answer:

y = 2/3x + 4

Step-by-step explanation:

The rise of the line is 2 and the run is 3. That means that our slope for this line in particular is 2/3!

The y intercept is positive 4!

malfutka [58]3 years ago
5 0

Answer:

y = 2/3x + 4

Step-by-step explanation:

Start off with the linear equation

y = mx+ b

Find the slope with two points:

(3,6), (-6,0)

y2-y1/x2-x1

-6/-9 = 2/3

y = 2/3 x + b

6 = 2 + b

b = 4

y = 2/3 x + 4  

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Jason went to the post office and bought both 41-cent stamps and 26-cent postcards and spent $10.28. The number of stamps was 4
Charra [1.4K]
<h3>Jason bought 20 stamps of $0.41 each and 8 postcards of $0.26 each.</h3>

<em><u>Solution:</u></em>

Let stamps be s and postcards be p

Given that,

The number of stamps was 4 more than twice the number of postcards

s = 4 + 2p -------- eqn 1

Jason bought both 41-cent stamps and 26-cent postcards and spent $10.28

41 cent = $ 0.41

26 cent = $ 0.26

Therefore,

s \times 0.41 + p \times 0.26 = 10.28

0.41s + 0.26p = 10.28 --------- eqn 2

Substitute eqn 1 in eqn 2

0.41(4 + 2p) + 0.26p = 10.28

1.64 + 0.82p + 0.26p = 10.28

1.08p = 10.28 - 1.64

1.08p = 8.64

Divide both sides by 1.08

p = 8

Substitute p = 8 in eqn 1

s = 4 + 2(8)

s = 4 + 16

s = 20

Thus Jason bought 20 stamps and 8 post cards

8 0
3 years ago
Point p’ (1,5) is the image of p (-3,1) under a translation<br><br> khan academy
GarryVolchara [31]

Answer:

<h2>X = \frac{-x}{3}</h2><h2>Y = 5y.</h2>

Step-by-step explanation:

We need to find the translation for which, (-3, 1) becomes (1, 5).

-3 will become 1, if it is divided by -3.

Hence, the translation for x axis is X = \frac{-x}{3}.

1 will become 5, when it is multiplied by 5.

Hence, The translation for y axis is Y = 5y.

6 0
3 years ago
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20 POINTS HELP Over time, the value of the property at 397 West Lake Street increased by 275%. If the initial value of the prope
Arlecino [84]

Answer: A is your answer.

6 0
3 years ago
A mother is currently 7 times older than her son. In 3 years time, she will be 5 times older than her son. Let x and y be the pr
Softa [21]

Answer:

If the child is currently 6 years old and the mom is 42, in three years she'll be 45 and he'll be 9

Step-by-step explanation:

The son is y and the mom is x

x=7y

x+3=5(y+3)

7y+3=5y+15

7y=5y+12

2y=12

y=6

8 0
3 years ago
Read 2 more answers
Help me plsssssssssssss
LUCKY_DIMON [66]

Answer:

The radius is 5 cm

Step-by-step explanation:

The formula for the area of a circle is :  \p*radius^2

To work out the length of the radius you would first need to divide the area of  78.5 cm by pi (pi=3.14), this gives you 25cm^2\\. This is because by dividing the area by pi we are isolating the value of the radius squared.

The final step is to work out the radius. You can do this by finding the square root of the radius squared which is 25, this gives you 5 cm. This means that the radius is 5 cm. This is because the square root is a number that when squared equals that number.

1) Divide 78.5 by pi.

78.5/\pi=25cm^2

2) Find the square root of 25 cm squared.

\sqrt{25} =5 cm

In this question pi is 3.14

6 0
3 years ago
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