A rectangle has side lengths of 5 centimeters and 3 centimeters. If the side lengths are doubled, will the area also double?

1 answer:

4 0

Hey user!

your answer is here..

I don't think that the area of the rectangle will also double if it's sides are doubled.

let us check :D

given :-

length of the rectangle = 5cm

breadth of the rectangle = 3cm

area of the rectangle = l × b

= 5 × 3

= 15 cm²

if the sides of the rectangle is doubled, then the length of the side will be :-

length = 5 × 2 = 10cm

breadth = 3 × 2 = 6cm

area of new rectangle = l × b

= 10 × 6

= 60 cm²

now, double of 15cm² = 15 × 2 = 30cm²

and the area of new rectangle is 60cm²

hence the area won't be double.

cheers!!

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The axis of symmetry for a function in the form f(x) = x2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the grap

Studentka2010 [4]

Answer:

D) $(-2,-9)$

Step-by-step explanation:

<u>Vertex Form of a Vertical Parabola:</u>

$y=a(x-h)^2+k$

Vertex -> $(h,k)$

Axis of Symmetry -> $x=h$

Vertical Scale Factor -> $a$

To turn $f(x)=x^2+4x-5$ into vertex form, we need to complete the square on the right side
Therefore, if $f(x)=0$ , then $0+9=x^2+4x-5+9$ completes the square on the right side
This becomes $9=(x+2)^2$
This means that our function in vertex form is $f(x)=(x+2)^2-9$