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ladessa [460]
3 years ago
7

ASAP!!!!!!!!!!!!!!!!!! Consider the point A=(1,3) and the line B, given by the equation y=2x-2 write an equation in slope-interc

ept of the line passing through point A and parallel to line B
Mathematics
1 answer:
vagabundo [1.1K]3 years ago
8 0

Answer:

y = 2x+1 (slope-intercept form)

Step-by-step explanation:

From line B, y = 2x -2 and comparing with the general equation of line, y = mx +c, we have

m1 = 2

Parallelism rule states that m1=m2

Therefore, m2 = 2

Hence, the equation passing through point A(1,3) is

y-y1 = m2(x-X1)

y - 3 = 2(x-1)

y-3 = 2x-2

y = 2x-2+3

y = 2x+1 (slope-intercept form)

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Write a piecewise-defined function that represents the graph?
kodGreya [7K]

Answer:

f(x) = { x, -5 ≤ x < 0 and 3x - 3, 1 ≤ x < 5

Step-by-step explanation:

The equation of one line is y = x

The equation of the other line is y = 3x - 3

Altogether,

f(x) = { x, -5 ≤ x < 0 and 3x - 3, 1 ≤ x < 5

4 0
3 years ago
If there are 6 $5 bills how many 10$bills are there?
mezya [45]

Answer:

3

Step-by-step explanation:

6*5=30

30/10=3

3 0
2 years ago
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The price of 2 pears and 6 apples is $14. the price of 3 pears and 9 apples is $21. find the price for one pear and one apple
Romashka [77]
7 dollars

if 2 pears and 6 apples is 14
and 3 and 9 is 21

2x7 is 14
3x7 is 21
it's like your doubling the amount each time you add...

8 0
3 years ago
Ida is walking dogs to help pay for sports equipment. She gets paid $10 for every dog walked and made a total of $70 on Saturday
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A because x next to ten represents the amount of dogs that she walked
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A fruit company delivers its fruit in two types of boxes: large and small. a delivery of 5 large boxes and 3 small boxes has a t
Hoochie [10]
Let's let the weight of a large box be L, and the weight of a small box be S.

We know that 5 large boxes and 3 small boxes is 120kg, so:
5L + 3S = 120

We also know that 7 large boxes and 9 small boxes is 234kg, so:
7L + 9S = 234

You can multiply the first equation by 3 to get:
15L + 9S = 360

See how now both equations have 9S? We can now subtract one from the other:
(15L+9S) - (7L+9S) = 360-234
8L = 126
L = 15.75

Now sub this value back into an equation:
(5x15.75) + 3S = 120
3S = 41.25
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Double check these values
(7x15.75) + (9x13.75)
= 110.25 + 123.75
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So a large box is 15.75kg, and a small box is 13.75kg.

Hope this helped
5 0
3 years ago
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