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3 years ago

The perimeter of rectangle is 294 cm. The width is 57 cm. Find the length.

1 answer:

4 0

The perimeter of a rectangle is length + length + width + width (also know as the distance around the whole shape) so an equation like this can be written:

294 = 57 + 57 + 2l (as in the length times two, or length + length)

294 = 114 + 2l

180 = 2l

90 = l

So the length of this rectangle is 90

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PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!

aivan3 [116]

Hello and Good Morning/Afternoon

Let's take this problem step-by-step:

To find the solution to a system of equation

⇒ must set the equations equal to each other

⇒ and solve

Let's put that into action

$x^2-2x+3 = -2x + 12\\x^2-2x+2x+3-12=0\\x^2-9=0\\(x+3)(x-3)=0$

At this point, to make the whole thing equal zero

⇒ either 'x+3' or 'x-3' equals zero

⇒ must find 'x' that satisify either equation

$x-3=0\\x=3\\\\x+3=0\\x=-3$

Let's find the corresponding f(x) to each x-value

$f(3) = -2(3)+12=-6+12 = 6\\\\f(-3) = -2(-3) + 12=6+12=18$

Therefore the solutions are (3,6) and (-3,18)

Answer: (3,6), (-3,18)

Hope that helps!

#LearnwithBrainly

3 0

1 year ago

Is N² + N always an even number? Explain

qaws [65]

Answer:

Yes

Step-by-step explanation:

Yes.

Let's first start with even numbers. (N - even number)

Any even number squared, is an even number. Then, we add that squared even number to another even number which would give us an even number.

Now, let's see odd numbers.

Any odd number squared would be an odd number. When you add "N", it would be adding an odd number to an odd number, which gives you an even number.

We can start by factoring the expression:

$N^2+N=N(N+1)$

This is essentially multiplying two consecutive numbers, which in turn means that one number has to be even, and one has to be odd. An odd number multiplied by an even number will always be even.

7 0

2 years ago

Help please need this answer

fredd [130]

Answer:

(5,4) is the solution

Step-by-step explanation:

2x + y = 14 --> y = -2x + 14

Substitute y = -2x + 14 into 3x - 2y = 7

3x - 2( -2x + 14) = 7

3x + 4x - 28 = 7

7x = 35