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2 years ago

If the perimeter of a rectangle is 6x^2-2x+14 and the length is x^2-x+8 what is the measure of the width?

Mathematics

1 answer:

s2008m [1.1K]2 years ago

7 0

Answer:

w = 2x^2-2x+15

Step-by-step explanation:

Since the formula to find the perimeter is P=2l+2w, use this to set up your equation:

6x^2-2x+14 = 2(x^2-x+8) + 2w

Then, distribute the 2 to everything inside the parentheses.

6x^2-2x+14 = 2x^2-2x+16 + 2w

Subtract 2x^2-2x+16 from both sides, leaving you:

4x^2-4x+30 = 2w

Divide 2 from both sides.

2x^2-2x+15

The answer is 2x^2-2x+15

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What is the equation of a horizontal line passing through the point (2, 10)?

marusya05 [52]

Answer:

y=10

Step-by-step explanation:

x will vary, but y will remain constant because that is what a horizontal line means. If this helped, please mark the brainliest!

4 0

3 years ago

Read 2 more answers

Hey guys please help

zimovet [89]

Answer:

$7.98 \:m$

Step-by-step explanation:

Area of a triangle is base times height divided by 2.

$A= \frac{bh}{2}$

$69.6= \frac{b \times 17.45}{2}$

$69.6 \times 2= b \times 17.45$

$139.2=b \times 17.45$

$\frac{17.45b}{17.45}=\frac{139.2}{17.45}$

$b=\frac{2784}{349}$

$b=7.97707$

The appropriate unit is meters.

6 0

3 years ago

13. Translate the following verbal phrase

Artyom0805 [142]

a) algebraic expression

$\frac{3+x}{5}=10$

b) Solve and find value of x

x=47

Step-by-step explanation:

We need to translate the following verbal phrase into an algebraic equation

The quotient of three more than a number and five is ten

Let the number be x

three more than a number is written as: 3+x

Since quotient is 10 so,

The algebraic expression will be:

$\frac{3+x}{5}=10$

Now, <u>solving to find value of x</u>

$\frac{3+x}{5}=10$

Multiplying both sides by 5

$\frac{3+x}{5}*5=10*5\\3+x=50$

Now Subtract -3 from both sides

$3+x-3=50-3\\x=47$

So, value of x=47

Learn More:

You can find more info about translating verbal phrase into an algebraic equation

brainly.com/question/1600376

brainly.com/question/1617787

For finding value of x, more info can be found at:

brainly.com/question/1616605

Keywords: verbal phrase, algebraic expression

#learnwithBrainly

8 0

3 years ago

Prove identity : (2 cos 2x)/(cot x – tan x) = sin 2x

Nimfa-mama [501]

Step-by-step explanation:

(2 cos(2x)) / (cot x – tan x)

Multiply top and bottom by sin x cos x:

(2 cos(2x) sin x cos x) / (cos² x – sin² x)

Use double angle formula:

(2 cos(2x) sin x cos x) / (cos(2x))

2 sin x cos x

Use double angle formula:

sin(2x)

4 0

4 years ago

Prove that for any value of x the value of the expression (x–3)(x+7)–(x+5)(x–1) is equal to –16.

Pachacha [2.7K]

For any value of x the value of the expression (x–3)(x+7)–(x+5)(x–1) is equal to –16.

Step-by-step explanation:

In order to prove the statement we can take any value of x and then solve the expression to see if it equal to -16 or not.

So,

Taking x = 2

$=(x-3)(x+7)-(x+5)(x-1)\\=(2-3)(2+7)-(2+5)(2-1)\\=(-1)(9)-(7)(1)\\=-9-7=-16$

Taking x = 5

$=(x-3)(x+7)-(x+5)(x-1)\\=(5-3)(5+7)-(5+5)(5-1)\\=(2)(12)-(10)(4)\\=24-40\\=-16$

Taking x= 10

$=(x-3)(x+7)-(x+5)(x-1)\\=(10-3)(10+7)-(10+5)(10-1)\\=(7)(17)-(15)(9)\\=119-135=-16$

Hence,

For any value of x the value of the expression (x–3)(x+7)–(x+5)(x–1) is equal to –16.

Keywords: Polynomials, expressions

Learn more about polynomials at:

#LearnwithBrainly

6 0

3 years ago