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3 years ago

RS= 4y+2, ST = 3y+8, and RT = 38 what is the value of y

Mathematics

1 answer:

emmainna [20.7K]3 years ago

7 0

Answer:

y = 4

Step-by-step explanation:

Given that,

RS= 4y+2, ST = 3y+8, and RT = 38

We need to find the value of y.

As,

RT = RS+ST

Put all the values,

38 = 4y+2+3y+8

38-2-8 = 4y+3y

28 = 7y

y = 4

So, the value of y is equal to 4.

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Hello!

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3 years ago

Rewrite the equation by completing the square. 4 x^{2} +20x +25 =0

Ede4ka [16]

Answer:

(x+5/2)^2 = 0

Step-by-step explanation:

4 x^{2} +20x +25 =0

Divide by 4

4/4 x^{2} +20/4x +25/4 =0

x^2 +5x +25/4 =0

Subtract 25/4 from each side

x^2 +5x +25/4 -25/4 =-25/4

x^2 +5x =-25/4

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Square it

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(x+5/2)^2 = 0

Take the square root of each side

x+5/2 = 0

x = -5/2

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2 years ago

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QUICK PLEASE!! -5.6 = h/5 + 12.2 show steps!

BaLLatris [955]

Answer: h = 89

Step-by-step explanation: Hope correct :)

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2 years ago

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Se tiene un rectángulo cuya base mide el doble que su altura y su área es 12

irina [24]

Answer:

Part 1) The perimeter is $P=6\sqrt{6}\ cm$

Part 2) The diagonal is $d=\sqrt{30}\ cm$

Step-by-step explanation:

The question in English is

You have a rectangle whose base is twice the height and its area is 12

square centimeters. Calculate the perimeter of the rectangle and its diagonal

step 1

Find the dimensions of rectangle

we know that

The area of rectangle is equal to

$A=bh$

$A=12\ cm^2$

$bh=12$ ----> equation A

The base is twice the height

$b=2h$ ----> equation B

substitute equation B in equation A

$(2h)h=12\\2h^2=12\\h^2=6\\h=\sqrt{6}\ cm$

Find the value of b

$b=2\sqrt{6}\ cm$

step 2

Find the perimeter of rectangle

The perimeter is given by

$P=2(b+h)$

substitute

$P=2(2\sqrt{6}+\sqrt{6})\\P=6\sqrt{6}\ cm$

step 3

Find the diagonal of rectangle

Applying the Pythagorean Theorem

$d^2=b^2+h^2$

substitute

$d^2=(2\sqrt{6})^2+(\sqrt{6})^2$

$d^2=30$

$d=\sqrt{30}\ cm$

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3 years ago

Which expression is equivalent to the given expression?

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Answer:

C. - 4x^2 + 5x - 4

Step-by-step explanation:

just expand the equation and you'll get C

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3 years ago

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