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iragen [17]
2 years ago
10

10. What is the equation of a line that passes through the point (4, 1) and is parallel to the line 2x - y = 42 A. y = 2x + 2 B.

y = 2x - 7 C. y = -2x + 6 D. y=-2x + 9​
Mathematics
1 answer:
andreyandreev [35.5K]2 years ago
7 0

9514 1404 393

Answer:

  2x -y = 7

Step-by-step explanation:

Only the constant is different for the parallel line. It must be chosen so that the given point satisfies the equation.

  2x -y = 2(4) -(1) = 7

The equation is ...

  2x -y = 7

You might be interested in
Joe tracked the height of his Dalmatian puppy from age 13 weeks to 25 weeks. He graphed the data and determined the line of best
nadya68 [22]

Answer:

22.5 weeks

Step-by-step explanation:

y = 1.12x + 28.78 represents the height of the puppy.  Here that height is 54 cm:

Then 54 = y = 1.12x + 28.78

Combining the constants, we get 1.12x = 25.22.  Dividing both sides by 1.12, x turns out to be 22.5 weeks.

3 0
3 years ago
E
laiz [17]

Answer:

  44x +56y = 95

Step-by-step explanation:

To write the equation of the perpendicular bisector, we need to know the midpoint and we need to know the differences of the coordinates.

The midpoint is the average of the coordinate values:

  ((-2.5, -2) +(3, 5))/2 = (0.5, 3)/2 = (0.25, 1.5) = (h, k)

The differences of the coordinates are ...

  (3, 5) -(-2.5, -2) = (3 -(-2.5), 5 -(-2)) = (5.5, 7) = (Δx, Δy)

Then the perpendicular bisector equation can be written ...

  Δx(x -h) +Δy(y -k) = 0

  5.5(x -0.25) +7(y -1.5) = 0

  5.5x -1.375 +7y -10.5 = 0

Multiplying by 8 and subtracting the constant, we get ...

  44x +56y = 95 . . . . equation of the perpendicular bisector

8 0
3 years ago
HELP ASAP!!! 40 POINTS
ICE Princess25 [194]

Using derivatives, it is found that the x-values in which the slope belong to the interval (-1,1) are in the following interval:

(-15,-10).

<h3>What is the slope of the tangent line to a function f(x) at point x = x0?</h3>

It is given by the derivative at x = x0, that is:

m = f^{\prime}(x_0).

In this problem, the function is:

f(x) = 0.2x^2 + 5x - 12

Hence the derivative is:

f^{\prime}(x) = 0.4x + 5

For a slope of -1, we have that:

0.4x + 5 = -1

0.4x = -6

x = -15.

For a slope of 1, we have that:

0.4x + 5 = 1.

0.4x = -4

x = -10

Hence the interval is:

(-15,-10).

More can be learned about derivatives and tangent lines at brainly.com/question/8174665

#SPJ1

8 0
2 years ago
What number comes next in the pattern and why? 2,3,6,15,42
Ahat [919]
I think the answer is 123 

8 0
3 years ago
Ll make u as brainlist
insens350 [35]

Answer:

3 raise to -7 ÷3 raise to -10 × 3 raise to -5

3 raise to -7-(-10)×3 raise to -5

3 raise to 3×3 raise to -5

3 raise to 3+-5

3 raise to -2

1/3²

1/9

hope it helps you!

6 0
3 years ago
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