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3 years ago

FORMING AND SOLVING EQUATION

1 answer:

8 0

We know, Perimeter of a rectangle = 2(l + w)
2(6+x+2) = 2(3+2x+1)
2(8+x) = 2(4+2x)
16+2x = 8+4x
16-8 = 4x - 2x
8 = 2x
x = 4

Unknown lengths, x+2 = 4+2 = 6
2x+1 = 2(4)+1 = 8+1 = 9

2) We know, Area of a rectangle = a * b
2[7(x+1)] = 4(3x+6)
2[7x+7] = 12x+24
14x+14 = 12x+24
14x-12x = 24-14
2x = 10
x = 5

Lengths of unknown sides, x+1 = 5+1 = 6 cm
3x+6 = 3(5)+6 = 15+6 = 21 cm

Hope this helps!

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Step-by-step explanation:

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3 years ago

What is 1/10th of 2,871,000?

abruzzese [7]

This is fairly simple. Divide 2,871,000 by 10 and that's your answer!

$\frac{2,871,000}{10} =287,100$

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3 years ago

Find the area and perimeter of the algebra titles don't forget your units

Rufina [12.5K]

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3 years ago

Looking for the answer to this

SashulF [63]

<h2>Required Answer :-</h2>

Given system of linear equations are ,

x + y = 2
-3x + y = 2

And we need to find the Solution of the linear equation . So let's Firstly number the equations .

$\large{\red{\frak{ Given}}}\begin{cases} \sf x + y = 2\qquad ..........(i) \\\\\sf -3x + y = 2 \qquad ..........(ii) \\\end{cases}$

→ Multiplying equⁿ (i) by 3 ,

=> 3 ( x + y ) = 2*3

=> 3x + 3y = 6

→ Adding the two equations ,

=> 3x + 3y -3y + y = 6 + 2

=> 4y = 8

=> y = 8/4

=> y = 2

→ Put y = 2 in (i) ,

=> x + y = 2

=> x + 2 = 2

=> x = 2- 2

=> x = 0

<h3>★ Hence the required solution is ( 0 , 2 ) .</h3>

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3 years ago

Please help me with this problem, please

Harman [31]

Answer:

sin(x) = 5/13

cos(y) = 5/12

Therefore, sin(x) = cos(y)

Step-by-step explanation:

Trig ratios:

$sin(\theta)=\dfrac{O}{H}\\\\\\cos(\theta)=\dfrac{A}{H}\\\\\\tan(\theta)=\dfrac{O}{A}$

where $\theta$ is the angle, O is the measure of the side opposite the angle, A is the measure of the side adjacent to the angle and H is the hypotenuse, of a right triangle