Can anyone help with the question ! Thanks <3

Mathematics

1 answer:

Artist 52 [7]3 years ago

7 0

Answer:

26, 42

Step-by-step explanation:

2, 4, 6, 10, 16

This sequence is $a_n=a_{n-1}+a_{n-2}$ ⇒ the next term is the sum of the previous 2 terms.

Therefore, the next 2 numbers in this sequence would be:

10 + 16 = 26 and 26 + 16 = 42

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Figures are similar. Find x.

katrin [286]

Answer:

24.3

Step-by-step explanation:

18/20 = x/20 (similar triangles)

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3 years ago

Rewrite y = -(x + 2)2 – 5 in standard form.

xenn [34]

Answer:

y = - x² - 4x - 9

Step-by-step explanation:

Given

y = - (x + 2)² - 5 ← expand (x + 2)² using FOIL

= - (x² + 4x + 4) - 5 ← distribute parenthesis by - 1

= - x² - 4x - 4 - 5 ← collect like terms

= - x² - 4x - 9 ← in standard form

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4 years ago

A circle is centered at the point (5, -4) and passes through the point (-3, 2).

zepelin [54]

Answer:

(x-5)^2+(y+4)^2=100

Step-by-step explanation:

As we know the given points

Center = (5, -4)

and

Point on circle = (-3,2)

The distance between point on circle and center will give us the radius of circle

So,

The formula for distance is:

$\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1})^{2}}\\Taking\ center\ as\ point\ 1\ and\ the\ other\ point\ as\ point\ 2\\d=\sqrt{(-3-5)^{2}+(2-(-4))^{2}}\\d=\sqrt{(-8)^{2}+(2+4)^{2}}\\d=\sqrt{(-8)^{2}+(6)^{2}}\\\\d=\sqrt{64+36}\\d=\sqrt{100} \\ d=10\\So\ the\ radius\ is\ 10$