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disa [49]
3 years ago
15

Passes through (1,-1) parallel to the line through (4,1) and (2,-3)

Mathematics
1 answer:
Vlada [557]3 years ago
4 0
Parallel means has the same slope
to find the slope
m = (y2 - y2)/ (x2 - x1)
m =( -3 - 1) / (2 - 4)
m = -4/-2
m = 2

The equation is
y = mx + b
y = 2x + b
to find the y-intercept, plug in the given coordinate
-1 = 2(1) + b
-1 = 2 + b
subtract 2 from both sides
-3 = b

The equation for the line that p<span>asses through (1,-1) and is parallel to the line through (4,1) and (2,-3) is
y = 2x - 3 

Hope this helps </span>
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Answer:

Say your not home!

Step-by-step explanation:

Say your not home,the set a date when yall can meet again!

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In quadrilateral ABDC, AB ∥ CD. Which additional piece of information is needed to determine that ABDC is a parallelogram?
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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
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Answer:

The rocket will reach its maximum height after 6.13 seconds

Step-by-step explanation:

To find the time of the maximum height of the rocket differentiate the equation of the height with respect to the time and then equate the differentiation by 0 to find the time of the maximum height

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- Differentiate y with respect to x

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- Add 32x to both sides

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- Divide both sides by 32

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- Round it to the nearest hundredth

∴ x = 6.13 seconds

∴ The rocket will reach its maximum height after 6.13 seconds

There is another solution you can find the vertex point (h , k) of the graph of the quadratic equation y = ax² + bx + c, where h = -\frac{b}{2a} and k is the value of y at x = h and k is the maximum/minimum value

∵ a = -16 , b = 196

∴ h=-\frac{196}{2(-16)}

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∵ h is the value of x at the maximum height

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∴ x = 6.13 seconds

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Let the speed of the current equal c
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The speed of the current is 1.5 mph so
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A donut shop is experimenting with two new types of cream-filled treats, one with raspberry filling, and the other with peach. A
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