3 years ago

Describe the pattern in each sequence and determine the next term of the sequence.

Mathematics

1 answer:

tekilochka [14]3 years ago

4 0

The patterns are multiplying by three!

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Consider A = (-9,4) and B (11,17). = Point P₂ partitions the segment from B to A in a 3:5 ratio. Find the coordinates of point P

Bogdan [553]

An easy way to do this is to parameterize the directed line segment from B to A by the function

$\ell_{B\to A}(t) = (1-t) B + t A = (1 - t) (11, 17) + t (-9, 4)$

with 0 ≤ t ≤ 1.

The point P₂ splits up AB so that BP₂ = 3/8 AB and AP₂ = 5/8 AB. Then we reach the point P₂ when t = 3/8, so its coordinates are

$P_2 = \ell_{B\to A}}\left(\dfrac38\right) = \dfrac58 (11,17) + \dfrac38 (-9,4) = \boxed{\left(\dfrac72, \dfrac{97}8\right)}$

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2 years ago

Devin has a furniture store. He sold a shoe rack recently for 3450. It cost him just 2300 to make the rack

True [87]

Answer:

50%

Step-by-step explanation:

3450 - 2300 = 1150

1150/ 2300 × 100 = 50

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3 years ago

What is the value of the express?

spin [16.1K]

Answer:

wheres the expression

Step-by-step explanation:

6 0

3 years ago

Solve this using substitution y=4x-8 and y=2x+10

ASHA 777 [7]

$\left\{\begin{array}{ccc}y=4x-8\\y=2x+10\end{array}\right\\\\4x-8=2x+10\\4x-2x=10+8\\2x=18\ \ \ /:2\\x=9\\\\y=4\cdot9-8=36-8=28\\\\Answer:x=9\ and\ y=28$

4 0

3 years ago

Find the point on the terminal side of θ = -3<img src="https://tex.z-dn.net/?f=%20%5Cpi%20" id="TexFormula1" title=" \pi " alt="

viktelen [127]

This is in the third quadrant where the tangent of the angle is positive

tan pi/4 = 1 = y/-1 so y = -1

The required point is (-1,-1)

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3 years ago