How to solve 4 x = 16

Answer:

225 ft^2

Step-by-step explanation:

From what we have in the question, we have 60 ft of fencing

To maximize the area, we will need to have a square

For a square, the length of all sides are equal

Let us call one of the sides s

Thus, from the perimeter of the square;

4s = 60

s = 60/4

s = 15 ft

The area is thus, the product of the side length of the square

15 * 15 = 225 ft^2

Answer:

A) x = 5 or x = 6

B) x = 0.298 or 6.702

C) x = 3

D) x = ±1

Step-by-step explanation:

A) Values of x for which;

x² − 11x + 31 = 1

x² - 11x + 30 = 0

Using quadratic formula, we have;

x = 5 and x = 6

B) Values of x for which;

x² − 5x − 3 = 2x − 5

x² − 5x - 2x - 3 + 5 = 0

x² - 7x + 2 = 0

Using quadratic formula, we have;

x = 0.298 or 6.702

C) Values of x for which;

7x + 1 = 3x² − 2x + 1

3x² - 2x - 7x + 1 - 1 = 0

3x² - 9x = 0

3x² = 9x

Divide both sides by 3x to get;

x = 3

D) Values of x for which;

−2x² + 5x + 6 = 4x² + 5x

Rearranging, we have;

4x² + 2x² + 5x - 5x - 6 = 0

6x² - 6 = 0

x² = 6/6

x² = 1

x = √1

x = ±1

The values of [tex]x[/tex] for the given situations would be as follows:

A). [tex]x = 5[/tex] or [tex]x = 6[/tex].

B). [tex]x = 0.298[/tex] or [tex]6.702[/tex]

C). [tex]x = 3[/tex]

D). [tex]x =[/tex] ±[tex]1[/tex]

a). [tex]x^2 - 11x + 31 = 1[/tex]

⇒ [tex]x^2 - 11x + 30 = 0[/tex]

by employing the quadratic equation, we have the values of [tex]x[/tex];

Considering

a = 1

b = -11

c = 30

⇒ {[tex]-(-11)[/tex] ± [tex]\sqrt{(-11)^2 -4 .1. 30 }[/tex]}[tex]/2.1[/tex]

Now,

[tex]x =[/tex] ([tex]11[/tex] ± [tex]1)/2[/tex]

Thus, the values for which the given trinomial would be equivalent to 1 would be:

∵ [tex]x = 5[/tex] and [tex]x = 6[/tex]

b). [tex]x^2 - 5x - 3 = 2x - 5[/tex]

⇒ [tex]x^2 - 5x - 2x - 3 + 5 = 0[/tex]

⇒ [tex]x^2 - 7x + 2 = 0[/tex]

by employing the quadratic equation, we have the values of [tex]x[/tex];

Therefore, the values of polynomials [tex]x^2 - 5x - 3 = 2x - 5[/tex] when:

∵ [tex]x = 0.298[/tex] or [tex]x = 6.702[/tex]

c). [tex]7x + 1 = 3x^2 - 2x + 1[/tex]

⇒ [tex]3x^2 - 2x - 7x + 1 - 1 = 0[/tex]

⇒ [tex]3x^2 - 9x = 0[/tex]

⇒ [tex]3x^2 = 9x[/tex]

by dividing both the sides by [tex]3x[/tex] to receive;

Hence, the binomial and trinomial [tex]7x + 1 = 3x^2 - 2x + 1[/tex] when:

∵ [tex]x = 3[/tex]

d). [tex]-2x^2 + 5x + 6 = 4x^2 + 5x[/tex]

by arranging them again, we get;

[tex]4x^2 + 2x^2 + 5x - 5x - 6 = 0[/tex]

⇒ [tex]6x^2 - 6 = 0[/tex]

⇒ [tex]x^2 = 6/6[/tex]

The trinomial and binomial [tex]-2x^2 + 5x + 6 = 4x^2 + 5x[/tex] would be when:

∵  [tex]x =[/tex] ±[tex]1[/tex]

Learn more about "Binomial" here:

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Answer:

Step-by-step explanation:

Assuming that the tile sizes are an average of 1x1 then the expression would simply be multiplying the number of rows by the number of columns. This would provide us with a product which would be the area of the bathroom as well as the number of individual tiles that the bathroom needs and/or already has installed represented by the variable t. Therefore, the expression would be the following.

253 * 48 = t

12,144 = t

Answer:

20

Step-by-step explanation:

Data for the question :

1 3/4, 2 1/2, 2, 2 3/4, 1, 1 3/4, 1 1/4, 3, 3 1/4, 3 3/4, 2, 2

Answer:

Julie is Incorrect

Step-by-step explanation:

Given the data:

1 3/4, 2 1/2, 2, 2 3/4, 1, 1 3/4, 1 1/4, 3, 3 1/4, 3 3/4, 2, 2

The least amount of time spent is : 1

The most amount of time spent is 3 3/4

According to Julie ; the most amount of time spent is equal to 1 1/2 the least amount of time spent.

That is,

3 3/4 = 1 * 1 1/2

3 3/4 = 15/4

1 * 3/2 = 3/2

Hence, she is incorrect ;

15/4 ≠ 3/2

Answer:

-5/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-3-7)/(6-2)

m=-10/4

simplify

m=-5/2

Answer:

√16 or 4

hope this helps!

Answer:

the square root of 169 is 13 then ×2

26

I hope I am correct mate

enjoy your day

#Captainpower

Answer:

?

Step-by-step explanation:

Answer:

The sale price of the vehicle is $36885

Step-by-step explanation:

One particular model had a sticker price of $49,180 when it was new. This means that the initial cost of the car was $49,180. It has just been marked down by 25%. This means the initial price of the car was reduced by an amount. The amount by which the initial price of the car was reduced would be

25/100 × 49180 = 0.25 × 49180 = $12295.

The sale price of the vehicle would be

49180 - 12295 = $36885

Answer:

Function 1 is negative with a slope of -5 and Function 2 is positive with a slope of 3.

Step-by-step explanation:

Slope Formula: (y2 - y1)/(x2 - x1)

Function 1: m = -2 - (-12) / 1 - 3

m = 10 / -2

m = 5 / -1

m = -5

Function 2: m = 3/1

m = 3

Answer:

the 3rd one.

Step-by-step explanation:

Option D is correct, Aiku has a total of 4.12 meters of rope in all.

Two or more expressions with an Equal sign is called as Equation.

To find the total length of the rope in meters, we need to convert the lengths of the two ropes from centimeters to meters and then add them together.

The length of the first rope is 45 centimeters, which is equal to 0.45 meters (since 1 meter = 100 centimeters).

The length of the second rope is 367 centimeters, which is equal to 3.67 meters.

Adding these two lengths together, we get:

0.45 meters + 3.67 meters = 4.12 meters

Therefore, Aiku has a total of 4.12 meters of rope in all.

To learn more on Equation:

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#SPJ2

Answer

This question has multiple answers to narrow it down to one we need to know how old is Maria.

Step-by-step explanation:

The radius of the circle is 3

Answer:

Please refer the below attachments.

Hope it helps

Please mark me as the brainliest

Thank you

Answer:

AC = 4.7 feet

Step-by-step explanation:

cos 20° = x

                5

5 · cos 20° = x

4.7 = x

Answer:

its b

Step-by-step explanation:

====================================================

Explanation:

Since x and y are in a proportional relationship, this means that y = kx. This is a direct variation equation.

k is the proportionality constant

To find k, we'll use any nonzero x and y pairing. Let's say we use the second row with x = -3 and y = 1

This leads to

y = kx

y/x = k

k = y/x

k = 1/(-3)

k = -1/3

Or we could use the third row to get

k = y/x

k = 2/(-6)

k = (1*2)/(-3*2)

k = -1/3

We get the same value of k for that row as well. I'll let you check the other rows. You cannot use the first row because dividing by zero is not allowed.

Since k = -1/3, this means y = kx updates to y = (-1/3)x which matches with choice A. So effectively, whatever the x input is, we multiply that by -1/3 to get the y output.

Multiplying by -1/3 is the same as dividing by -3. This means that y = (-1/3)x is the same as y = -x/3

Answer:

7

Step-by-step explanation:

its 7

Answer:

slope Formula = y^2-y^1/x^2+x^1

Step-by-step explanation:

now,

[tex]10 - 3 \div 6 - 5 [/tex]

[tex]7 \div 1[/tex]

[tex] = 7[/tex]

Answer:

x = 10

[tex] m\angle DCE=55\degree [/tex]

Step-by-step explanation:

Since, CE bisects angle DCF, therefore:

[tex] m\angle ECF= m\angle DCE[/tex]

[tex] 6x-5=4x + 15 [/tex]

[tex] 6x-4x=5 + 15 [/tex]

[tex] 2x=20 [/tex]

[tex] x=\frac{20}{2} [/tex]

[tex] x=10[/tex]

[tex] m\angle DCE=(4x+15)\degree [/tex]

[tex] m\angle DCE=(4\times 10+15)\degree [/tex]

[tex] m\angle DCE=(40+15)\degree [/tex]

[tex] m\angle DCE=55\degree [/tex]

Answer:

-1.3

Step-by-step explanation:

number line will go all the way to the left and then 7 to the right. which is -1.3

The value of -2 - -7 as modelled in the attached image is; -1.3

According to the question;

The number line model given can be used to evaluate -2 - -0.7 by simply finding the distance between -2 and -0.7 as in the attached image.

Ultimately, the value of -2 - -0.7 is; -1.3

Read more;

https://brainly.com/question/18329661

Answer: pretty sure it is linear

Step-by-step explanation:

Answer:

D. Organic shapes

Step-by-step explanation:

Achromatic shapes: shapes with "no color".

Geometric shapes: shapes with straight lines and angles that symbolize structure and order.

Irregular shapes: shapes that have sides and angles of any length and size.

Organic shapes: shapes with a natural look and a flowing and curving appearance. Organic shapes are associated with things from the natural world, like plants and animals.

I hope this helps :)

Answer:

Its the real answer of my inorganic shapes

Step-by-step explanation:

If im wrong im sorry

Answer: f=3

Step-by-step explanation:

Answer:

[tex]x=17[/tex]°

Step-by-step explanation:

Because the diagonal lines are marked with arrows, we know that they are parallel. The two angles that are marked with measures are same-side interior angles. Same-side interior angles of parallel lines are supplementary, meaning that the sum of their measures is [tex]180[/tex]°.

Now, with all of this information, we can set up the following equation and solve for [tex]x[/tex]:

[tex]115+4x-3=180[/tex]

[tex]112+4x=180[/tex] (Simplify LHS by combining like terms)

[tex]112+4x-112=180-112[/tex] (Subtract [tex]112[/tex] from both sides of the equation to isolate [tex]x[/tex])

[tex]4x=68[/tex] (Simplify)

[tex]\frac{4x}{4}=\frac{68}{4}[/tex] (Divide both sides of the equation by [tex]4[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=17[/tex]° (Simplify)

Hope this helps!

Answer:

p = 4

Step-by-step explanation:

Answer:

p=4

Step-by-step explanation:

combine like terms

-6p=-24

divide

p=4

Answer:

10-6=4

Step-by-step explanation:

Answer:

A) 8

Step-by-step explanation:

There are two ways you can solve this:

Pythagorean Theorem:

The Pythagorean Theorem states: [tex]a^{2} +b^{2} =c^{2}[/tex] and [tex]c^{2} -a^{2} =b^{2}[/tex] or [tex]c^{2} -b^{2} =a^{2}[/tex]. Sides a and b represent the legs of the right triangle. The side length c represents the hypotenuse. So, we need to find one of the legs (b) of the smaller triangle. To do this, we can use the equation:

Division/Proportion:

Line DH has two measures: 3 and 6. The total length of the line is 9. This means that triangle DHM has a side length of 9 compared to triangle FHK's side length of 6. Turn this into the ratio 9:6. Now divide 9/6 to get 1.5. This means that the larger triangle (DHM) is 1.5 times larger than the smaller triangle (FHK). To solve for side length b, divide 12/1.5 to get 8.

Note:

Hope it helps!

Answer:

y = 0.75

Step-by-step explanation:

(4y + 1) = 4

4y + 1 = 4

4y + 1 - 1 = 4 - 1

4y = 3

4y ÷ 4 = 3 ÷ 4

y = 0.75