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3 years ago

Select equations that are equivalent to the equation y-3=2(x+5) Select all that apply

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

8 0

$y - 3 = 2(x + 5) \\ \Leftrightarrow y = 2x + 10 + 3 = 2x + 13$

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Find the length to the nearest centimeter of the diagonal of a square 30 cm. on a side

tiny-mole [99]

Answer:

42 cm.

Step-by-step explanation:

Please find the attachment.

Let x be the length of diagonal of the square.

We have been given that length of each side of a square is 30 cm. We are asked to find the length of the diagonal of square to the nearest centimeter.

We can see from our diagram that triangle AC is the diagonal of our square.

Since all the interior angles of a square are right angles or equal to 90 degrees, so we will use Pythagoras theorem to find the length of diagonal.

$AC^2=AD^2+DC^2$

Upon substituting our given values in above formula we will get,

$x^2=(30\text{ cm})^2+(30\text{ cm})^2$

$x^2=900\text{ cm}^2+900\text{ cm}^2$

$x^2=1800\text{ cm}^2$

Let us take square root of both sides of our equation.

$x=\sqrt{1800\text{ cm}^2}$

$x=42.4264\text{ cm}\approx 42\text{ cm}$

Therefore, the length of diagonal of our given square is 42 cm.

8 0

3 years ago

The cost of 12 pencils is rupees 37 4 by 5 find the cost of one pencil

Svetllana [295]

Answer:

Cost of 12 pencils = 37 4/5 = 189/5

Cost of 1 pencil = 189/5 ÷ 12

= 189/5 x 1/12 = 189/60 = 63/20 = 3 3/20

So required answer is 3 3/20

Hope This Helps You!

5 0

3 years ago

Math nation section 2

MrRa [10]

Send the question?

Must click thanks and mark brainliest

6 0

3 years ago

Find the quotient and reduce to lowest terms: ((x²-4)/(3x)) ÷ ((x-2)/(2x)).

DENIUS [597]

Answer: 2/3 * (× + 2 )

Step-by-step explanation:

((x²-4)/(3x)) ÷ ((x-2)/(2x)). ⇒ [ ( ×² - 4 ) * 2x ] ÷ [ ( × - 2 ) *3x ]

Simplifying by x [ 2 * ( ×² - 4 ) ] ÷ [ ( × - 2 ) *3 ] ⇒ (2/3)*{ [ ( x-2 )*(×+2)]÷ (×-2) }

Simplifying by ( ×+2) 2/3 * (× + 2 )

3 0

3 years ago

Well when you do a problem and it's multiplication and you have to us your math skills and then when you get it wrong don't that

masha68 [24]

Not necessarily. You could have done your multiplication wrong. Or in some cases, yes, you could have to use another skill. For example, you can't solve an optimization problem with addition, you need some calculus skills under your belt.

8 0

3 years ago