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4 years ago

AB passes through a A(-3,0) B(-6,5) what is the equation of the line that passes through the origin and is parallel to AB

1 answer:

6 0

Slope = (5 - 0)/(-6 + 3) = -5/3

<span>passes through the origin
</span>y = mx + b
0 = -5/3(-3) + b
b = -5

equation

y = -5/3x - 5

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Write an equation to find the nth term. Then find ₐ₂₄<br> -1, -4, -7, -10,...

Maru [420]

The equation to find the nth term is:

an = a+(n-1)d

Where a is the first term in the sequence, which is -1 and d is the difference, which in this sequence the next term is found by subtracting 3 from the previous term, so d = -3 and n is the term you want to find.

The equation becomes:

an = -1 +(n-1)(-3)

a24 = -1 + (24-1)(-3) = -1 + (23(-3)) = -1-69 = -70

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3 years ago

Which equation represents the value of x?

shepuryov [24]

Using the Pythagorean theorem you would find X by taking the square root of the base squared (Y^2) subtracted from the hypotenuse squared ( 10^2 = 100)

The equation would be x = √100-y^2

The second answer is the correct one.

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3 years ago

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At noon, ship a is 40 nautical miles due west of ship b. ship a is sailing west at 18 knots and ship b is sailing north at 17 kn

igor_vitrenko [27]

The distance between the ships changing at 92.29 Knots

Using the position of ship A as the reference point, at time t measured in hours past noon, ship A is 18 t miles west of this point and ship B is 40 + 17t north of this point.
The distance between ships is then

$d(t) = \sqrt{(18t)^{2} + (40+17t)^{2} } \\$

The rate of change of distance is -

$\frac{dd}{dt} = \frac{36t + 2(40 + 17t)17}{2\sqrt{18t^{2} + (40 + 17t) } }$

after putting t = 5 into this rate of change ,

we get, answer = 92.29

To learn more about differentiation from the given link

brainly.com/question/25081524

#SPJ4

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2 years ago

The width of a rectangular painting is 3 in. less than the length. The area of the painting is 40 in ^2 .Find the length and wid

Amiraneli [1.4K]

Answer:

Mark me as brainlist

Step-by-step explanation:

a) (h + 5)(2h + 8) is the expression for the combined area of the painting and frame

b) The combined area when h = 12 is 544 square inches

c) The combined area when h = 15 is 760 square inches

Solution:

Given that,

A frame that is 2.5 inches wide goes around the painting

The frame will go around all 4 sides of the painting.

That means that the length of each side of the painting will increase by 2.5 inches

Therefore,

The height of painting and frame is:

h = h + 2.5 + 2.5

h = h + 5

(2.5 inches on the top and the bottom)

Also given that,

Width of a rectangular painting is 3 inches more than twice the height

w = 3 + 2h

Now the width of painting and frame is:

w = 3 + 2h + 2.5 + 2.5

(Again, 2.5 inches on the top and the bottom)

w = 2h + 8

Thus the combined area of the painting and frame is:

B) Substitute h = 12 inches

Thus the combined area when h = 12 is 544 square inches

C) Substitute h = 15 inches

Thus combined area when h = 15 is 760 square inches

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3 years ago

This pair of figures is similar. Find the missing side.

blondinia [14]

Answer:

Step-by-step explanation:

Since 10x4=40, and 14x4=56, then all you have to do is multiply 3 by 4, to get 12.

8 0

3 years ago

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