Please fill in the missing cells and describe the rule

Mathematics

1 answer:

Elan Coil [88]3 years ago

4 0

Answer:

The OUT for -3 is 6, and the OUT for 1 is 2.

Step-by-step explanation:

The rule is for any x, OUT(x) = IN(x) * (x+1)

Below is showing the rule:

IN=2: 2*3=6

IN=4: 4*5=20

IN=10: 10*11=110

etc.

If I helped, a brainliest would be greatly appreciated!

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What’s the linear equation in slope intercept form to (-3,7) and (6,-8)?

Aleonysh [2.5K]

Y= -5/3x + 2

To find slope:
-8-7 / 6 - (-3) = -5/3

Plug in x and y from one of the points to the equation to find b

7 = -5/3 (-3) + b

B = 2

Put it all together:

y = -5/3x + 2

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a street light is at the top of a 18 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a s

shutvik [7]

The most appropriate choice for similarity of triangles will be given by -

Speed of tip of the shadow of woman = 6 ft/s

What are similar triangles?

Two triangles are said to be similar, if the corrosponding angles of the triangles are same and the corrosponding sides of the triangles are in the same ratio.

Here,

The diagram has been attached here

Let the distance of woman from the pole be x ft and the distance of tip of the shadow to the pole be y ft.

Height of street light = 18 ft

Height of woman = 6ft

The two triangles are similar [As height of woman is parallel to the height of pole]

$\frac{y - x}{6}=\frac{y}{18}\\18y - 18x = 6y\\18y - 6y = 18x\\12y = 18x\\y = \frac{18}{12}x\\y = \frac{3}{2}x\\$