The length of a rectangular room is 5 feet longer than twice the width If the room's perimeter is 166 feet, what is the length?
A. 67 feet
B. 44 feet
C. None of these
D. 114 feet
E. 57 feet

Answer:

x = 2

Step-by-step explanation:

C on edg 2020

The axis of symmetry of f(x) = 7-4x + x^2 is x = 2

We have:

f(x) = 7-4x + x^2

Differentiate the function

f'(x) = -4 + 2x

Set the function to 0

-4 + 2x = 0

Add 4 to both sides

2x = 4

Divide by 2

x = 2

Hence, the axis of symmetry of f(x) = 7-4x + x^2 is x = 2

Read more about axis of symmetry at:

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Answer:

105

Step-by-step explanation:

if both together cost $110

and the cell phone cost 100 more than the phone case, we need to find the cost for the phonecase

and it's 105

hope this helped:D

brainliest is appreciated if u want

Answer:

$105  r e  

Step-by-step explanation:

The dimension of the rectangle is 8m by 6.5m respectively

The formula for calculating the area of a rectangle is expressed as;

A =lw

If the length of a rectangle is 5 m less than twice the width, then;

l = 2w - 5

Substitute

A = w(2w-5)

52 = 2w² - 5w

2w² - 5w = 52

2w² - 5w - 52 = 0

(2w−13)(w+4)=0

Step 2: Set factors equal to 0.

2w−13=0 or w+4=0

w =13/2 or 6.5m

Determine the length

l = 2w - 5

l = 2(6.5) - 5

l = 13 - 5

l =8m

Hence the dimension of the rectangle is 8m by 6.5m respectively

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Answer:

7/16

Step-by-step explanation:

Answer:

784329

Step-by-step explanation:

Answer:

Between 3² and 4⁴

Between 3 and 4

Step-by-step explanation:

Number 15 is between between 3² and 4⁴

While √15 = 3.8 72 is between 3 and 4.

Answer:

radius = [tex]\sqrt{34}[/tex]

Step-by-step explanation:

The radius r is the distance from the centre to a point on the circle.

Use the distance formula to calculate r

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (5, - 3)

r = [tex]\sqrt{(5-0)^2+(- 3-0)^2}[/tex]

  = [tex]\sqrt{5^2+(-3)^2}[/tex]

  = [tex]\sqrt{25+9}[/tex]

  = [tex]\sqrt{34}[/tex]

Answer:

Step-by-step explanation:

The question isn't clear...

Answer:

A

Step-by-step explanation:

You are just going to have to divide the 7 which gives you 3.5

Answer: There are 10 two points and 16 five points questions.

Step-by-step explanation:

This is the detailed question:

A language arts test is worth 100 points. There are a total of 26 questions. There are spelling word questions that are worth 2 points each and vocabulary word questions worth 5 points each. How many of each type of question is there?

Let y = the number of 2 points questions

Let z = the number of 5 points questions

y + z = 26 ......... i

2y + 5z = 100 ........ ii

Multiply equation i by 2

Multiply equation ii by 1

2y + 2z = 52 ......... iii

2y + 5z = 100 ....... iv

Subtract iv from iii

-3z = -48

z = 48/3

z = 16

Since y + z = 26

y = 26 - 16

y = 10

y = 10 two points questions

z = 16 five points questions

There are 10 two points and 16 five points questions.

Answer: A. 1/2

Step-by-step explanation:

Answer:

How to find the circumference of a circle:

Step-by-step explanation:

Hope this helps! :)

Answer:

0.06

Step-by-step explanation:

Answer:

3x2(4x – 3) + 1(4x – 3)

Step-by-step explanation:

Answer:

i think is B.

Step-by-si tep explanation:

Answer:

74°

Step-by-step explanation:

The angle on a line = 180°

therefore:.

x + 106° = 180°

x = 180° - 106°

x = 74°

Answer: 74 degrees.

Step-by-step explanation:

Angles on the same side of a line add to 180.

The angle measure of 106 and the angle measure of x lie on the same side of the line WZ, so you can add them both to get 180:

106 + x = 180

x = 74

Answer:

graph b because its a parabola

Step-by-step explanation:

Answer:

Graph B does not belong

Step-by-step explanation:

All the other graphs are linear inequalities, whereas graph B is a quadratic inequality. You can also tell by how they look. The straight lines are linear, and the symmetric curve (parabola) is a quadratic

Answer: 40 feet

Step-by-step explanation:  Volume = length * width * height

then substitute Volume = 2 * 4 * 5

multiply Volume = 8 * 5

multiply again Volume = 40

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Answer:

The value of the car after 3 years is R$58.320.

O valor do carro ao final desse período é R$58.320.

Step-by-step explanation:

The value of the car after t years is given by the following equation:

[tex]V(t) = V(0)(1-r)^{t}[/tex]

In which V(0) is the initial value and r is the yearly depreciation rate.

In this question, we have that:

[tex]V(0) = 80000, r = 0.1[/tex]

So

[tex]V(t) = V(0)(1-r)^{t}[/tex]

[tex]V(t) = 80000(1-0.1)^{t}[/tex]

[tex]V(t) = 80000(0.9)^{t}[/tex]

Value of the car at the end of 3 years:

[tex]V(3) = 80000(0.9)^{3} = 58320[/tex]

The value of the car after 3 years is R$58.320.

O valor do carro ao final desse período é R$58.320.

Answer:

The answer is C

Step-by-step explanation:

Answer: The answer is C.

hope you do good on quiz! :D

Answer:

4 out of 14

Step-by-step explanation:

there is only 4 door bells and 14 bells in total

Answer:

1:5

Step-by-step explanation:

5x² = 25x²

Divide both sides by 5x²

5x²/5x² = 25x²/5x²

1:5

Answer:

15707.96

Step-by-step explanation:

Answer:

5000pi ft^3 (exactly) or 15,708 ft^3 (approximately)

Step-by-step explanation:

V = (pi)r^2h

r = radius = diameter/2

r = 20 ft/2 = 10 ft

V = (pi)(10 ft)^2(50 ft)

V = 5000(pi) ft^3

V = 5000(3.14159) ft^3 = 15,708 ft^3

Answer: 5000pi ft^3 (exactly) or 15,708 ft^3 (approximately)

Answer:

1/3 = 0.3333 = 33.33%

Step-by-step explanation:

In the six-sided die we have 6 possible values, from 1 to 6.

To roll a number less than 5, the options are: 1, 2, 3 or 4.

We have 4 options, so the probability is P = 4/6 = 2/3

To find the complement of this probability, we just need to calculate 1 minus the probability, so we have that:

complement = 1 - P = 1 - (2/3) = 1/3 = 0.3333 = 33.33%

(We could also find the probability of rolling 5 or 6, which is the complement of rolling less than 5)

Answer:

1/3

Step-by-step explanation:

I took the test

Answer:

x=80°

Step-by-step explanation:

supplementary angles equal 180°

∠J=80

80+x+20=180

100+x=180

x=80

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

look, area = length x width

so that means that the area of this rectangle is

= 11 1/2 * 8

= 23/2 * 8

= 23 * 4 (simplified)

= 92 in^2

Answer:

[tex]92in.^{2}[/tex]

Step-by-step explanation:

Area of a rectangle= L×W

If length= 11[tex]\frac{1}{2}[/tex]in. and width= 8in.,

∴ Area = 11[tex]\frac{1}{2}[/tex]in. × 8in.

           = [tex]\frac{23}{2}[/tex] × [tex]\frac{8}{1}[/tex] [tex]in.^{2}[/tex]

           = (23 × 4) [tex]in.^{2}[/tex]

           = 92[tex]in.^{2}[/tex]

Hope this helps!!!

Answer:

h=2

Step-by-step explanation:

7h=−(2h−18)

Distribute the minus sign

7h = -2h +18

Add 2h to each side

7h +2h = -2h+2h +18

9h = 18

Divide each side by 9

9h/9 =18/9

h =2

Answer:

h = 2

I got it right on Kahn Academy

Answer:

Using the Pythagorean theorem for isosceles right triangle, the length of  the hypotenuse is sqrt( 2 x 10^2) = ~14.1 in

Hope this helps!

:)