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2 years ago

PLEASE HELP ME. this is due TONIGHT and i need this done so i have time for other assignments. thank you so much

Mathematics

2 answers:

vlada-n [284]2 years ago

8 0

Answer:

28cm

Step-by-step explanation:

Area of a parallelogram equals the base length, which is y cm, multiplied by the height, which is 18cm.

Area= 504cm

y cm (base) x 18 cm (height) = 504cm^2 (area)

y cm = 504cm^2 / 18cm

y cm = 28cm

marin [14]2 years ago

6 0

Answer:

28 cm

Step-by-step explanation:

Just use some good ol' algebra:

18y = 504

y = 28 cm

A parallelogram is basically a wonky rectangle, so it uses the same formula for area.

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Solve for x.

Aliun [14]

9514 1404 393

Answer:

x = 3.6

Step-by-step explanation:

The angle bisector divides the segments proportionally. This means they satisfy ...

bottom segment / side segment = x/6 = (6-x)/4

Multiplying by 12 gives ...

2x = 3(6 -x)

2x = 18 -3x . . . . . eliminate parentheses

5x = 18 . . . . . . . . add 3x

x = 3.6 . . . . . . . . . divide by 5

_____

Alternate solution

I like to try to work these mentally. The total of side lengths is 10, so the total base length (6) is 6/10 = 0.6 times that. Then x will be 0.6 times the left side length: 0.6·6 = 3.6 = x.

8 0

2 years ago

Which of the following is an extraneous solution of sqrt 4x + 41 = x+5

stiv31 [10]

Answer:

x=-8

Step-by-step explanation:

$\sqrt{4x+41}=x+5$

on squaring both sides

$4x+41=(x+5)^2\\\\4x+41=x^2+10x+25\\\\x^2+6x-16=0\\\\x^2+8x-2x-16=0\\\\x(x+8)-2(x+8)=0\\\\(x-2)(x+8)=0$

either x-2=0 or x+8=0

either x=2 or x=-8

Putting x=2 in original equation, we get

$\sqrt{4\times 2+41}=2+5$

7=7 hence, it is not an extraneous solution

Putting x=-8 in original equation

$\sqrt{4\times (-8)+41}=-8+5$

i.e. 3=-3

Hence, x=-8 is an extraneous solution (since it doesn't satisfy the original equation)

3 0

3 years ago

Read 2 more answers

What is the next term in the sequence below?

andreyandreev [35.5K]

Answer: Option a.

Step-by-step explanation:

1. The sequence shown in the problem is a Geometric sequence, because it has a common ratio. This means that when you multiply one of those numbers by the common ratio, you obtain the next number.

2. Then, you can calculate the common ratio as following:

$r=\frac{108}{-324}=-\frac{1}{3}$