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Karo-lina-s [1.5K]
3 years ago
8

2 v What is the equation of a line that is parallel to y = -4x – 3 and shifted down 3 units?

Mathematics
1 answer:
Ugo [173]3 years ago
3 0

Answer: y=-4x-6

Step-by-step explanation:

Given

The equation of line is y=-4x-3

The line which is parallel to the given line is y=-4x+c

and shifted by 3 units down i.e. its y-intercept is 3 units below the given line

\therefore y=-4x-3-3\\\Rightarrow y=-4x-6

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Use the Pythagorean theorem to find y.
PilotLPTM [1.2K]

Answer:

19.1

Step-by-step explanation:

13²+14²=365

√365≈ 19.1

8 0
2 years ago
What is the perimeter of a polygon with verticals at (-1, 3) , (-1, 6) , (2, 10) , (5, 6) , and (5, 3)
Marat540 [252]

Answer:

22 units

Step-by-step explanation:

The perimeter of a polygon is said to be the sum of the length of it's sides.

From the question, we have 5 vertices. This means the polygon is a pentagon. It's given vertices are

A = (−1, 3)

B = (−1, 6) ​

C = (2, 10)

D = (5, 6) ​​

E = (5, 3) ​

To find the distance between two points, we use the formula

d = √[(y2 - y1)² + (x2 - x1)²]

Between A and B, we have

d(ab) = √[(6 - 3)² + (-1 --1)²]

d(ab) = √(3²) + 0

d(ab) = √9 = 3

Between B and C, we have

d(bc) = √[(10 - 6)² + (2 --1)²]

d(bc) = √[4² + 3²]

d(bc) = √(16 + 9) = √25 = 5

Between C and D, we have

d(cd) = √[(6 - 10)² + (5 - 2)²]

d(cd) = √[(-4)² + 3²]

d(cd) = √(16 + 9) = √25 = 5

Between D and E, we have

d(de) = √[(3 - 6)² + (5 - 5)²]

d(de) = √(-3)² + 0

d(de) = √9 = 3

Between E and A, we have

d(ea) = √[(3 - 3)² + (5 --1)²]

d(ea) = √[0 + (6)²]

d(ea) = √36 = 6

The perimeter is given as

d(ab) + d(bc) + d(cd) + d(de) + d(ea) =

3 + 5 + 5 + 3 + 6 = 22 units

7 0
2 years ago
Someone please help I will give biranlyest to who ever is right.​
Hitman42 [59]

Answer:

A. cd4

Step-by-step explanation:

3 0
3 years ago
Need some help with multiplying algebraic fractions
Nezavi [6.7K]

Answer:

a=10, b=5, c=2, d=12

Step-by-step explanation:

Multiply each variable together

5*2=10

8*3=24

10x^{3}y^{2}/24x

the coefficients (numbers) can each be divided by 2

5x^{3} y^{2}/12x

subtract the "x" exponents together

5x^{2} y^{2}/12

8 0
3 years ago
1 part sugar and 4 parts of water she uses 3/4 cup of sugar
PolarNik [594]
1 part sugar : 4 parts water

3/4 cup of sugar.

1:4 = 3/4 : x
x = 4 * 3/4
x = 12/4

x = 3 part water

5 0
3 years ago
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