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inn [45]
2 years ago
15

Find the equation of the line through point (4,−7) and parallel to =−2/3+3/2 Use a forward slash (i.e. "/") for fractions (e.g.

1/2
Mathematics
1 answer:
sp2606 [1]2 years ago
7 0

Answer:

y=-2/3x-13/3

Step-by-step explanation:

parralel line have the same gradient

y=mx+c is the general straight line equation

m represents the gradient

if the equation is y=-2/3x+3/2

m=-2/3

the coordinates (4,-7)

x=4

y=-7

substitute into equation

-7=-2/3×4+c

-7=-8/3+c

c=-7+8/3

c=-13/3

so the equation is :

y=-2/3x-13/3

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Ed bus a box of eggs costing £2.30, two packs of bacon for £2.60 each and two tins of baked beans. He pays with a £10 note gets
kirill115 [55]

Answer:

£0.85 for each

£1.70 for both

Step-by-step explanation:

Variable x = cost of baked beans

2.30 + 2(2.60) + 2x = 10 - 0.80

Use PEMDAS

2.30 + 5.20 + 2x = 10 - 0.80

7.50 + 2x = 9.20

Subtract both sides by 7.50

2x = 1.70

Divide both sides by 2 to isolate the variable

x = 0.85

Let's check our work by plugging this into our original equation

2.30 + 2(2.60) + 2(0.85) = 10 - 0.80

2.30 + 5.20 + 1.70 = 10 - 0.80

7.50 + 1.70 = 9.20

9.20 = 9.20

Our number is correct

7 0
3 years ago
Fen completed a triathlon race whose total distance is DDD kilometers. First, she swam a distance of 0.50.50, point, 5 kilometer
Ivanshal [37]

D = 0.5 + 20x + 0.5v

Initial distance covered d1 = 0.5km

If she rode a bicycle for x hours at an average speed of 20 kilometers per hour, then her distance during thus period is,;

Speed = Distance/Time

Distance d2 = speed × time

d2 = 20x

If she ran for 0.5 hour at an average speed of v kilometers per hour, her distance this time will be;

Distance d3 = 0.5v

If her total distance is D, then;

D = d1+d2+d3

D = 0.5 + 20x + 0.5v

Hence an equation that relates D, x, and v is D = 0.5 + 20x + 0.5v

To learn more about equations from the given link

brainly.com/question/19538218

#SPJ4

7 0
2 years ago
6. Write the following proportion using colons. 7 is to 21 as 3 is to 9. A. 7:21 = 3:9 B. 7:3 = 21:9 C. 21:7 = 3:9 D. 7:21 = 9:3
Vika [28.1K]

Answer:

A. 7:21 = 3:9

Step-by-step explanation:

7 is to 21 as 3 is to 9.

Replace the word to with colons and the word as with the equals sign

7:21 = 3:9

5 0
3 years ago
Find a​ point-slope form for the line with slope 1/5 and passing through the point ​(​-6,-9​).
Elenna [48]

Answer:

y=1/5x-39/5

Step-by-step explanation:

y=mx+b (slope y intercept formula)

y=1/5x+b

take (-6,-9) and put in appropiate places

-9= -6/5+b

*multiply lhs and rhs by 5

-45= -6+5b

-45+6=5b

-39=5b

-5b=39

b=39/-5

y=1/5x-39/5

5 0
3 years ago
The length of a rectangle is 18 cm and the width is 6 cm. A similar rectangle has a width of 2 cm.What is the length of the seco
Novay_Z [31]

Answer:

Length = 6cm

Step-by-step explanation:

You would get 6cm as the length, because 6 ÷ 3 = 2, that is your width. So in the same way, you would divide 18 by 3 and get 6, thus the length of the second rectangle is 6 centimeters

Hope it helps :D

7 0
3 years ago
Read 2 more answers
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