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expeople1 [14]
2 years ago
8

The erea of a square is given by x2, where x is the length of one side. Mary's original garden was in the shape of a square. She

decided to double the area of her garden. Enter an expression that represents the area of Mary's new garden.
Mathematics
1 answer:
crimeas [40]2 years ago
7 0

Answer: The expression that represents the area of Mary's new garden =2x^2

Step-by-step explanation:

The area of a square is given by x^2, where x is the length of one side. The length of the other side is also x. In a square, all sides are equal. each of the four sides equal x

Area = x × x

Area = x^2

She decided to double the area of her garden

New area = 2(x × x)

New area = 2x^2

The expression that represents the area of Mary's new garden =2x^2

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The closest distance between Earth and Mars is approximately 3.39 × 10^7 miles. The fastest rocker leaving Eartg travels at an a
Diano4ka-milaya [45]

The expression for number of hours is: C. (3.39 × 10^7) ÷ (3.6 × 10^4)

The equations with no solutions are : A,B and C.

Step-by-step explanation:

The formula for time is distance divided by speed.

The distance given is 3.39 × 10⁷ miles.

The speed given is 3.6 × 10⁴ miles/hour

The time in hours will be = (3.39 × 10⁷ ÷3.6 × 10⁴) =941.67 hours

B.

Test to see if the equations have solutions;

(3x+4y=5)--------multiply by 6

(6x+8y=10 )-------multiply by 3

18x+24y=30

18x+24y=30 --------performing subtraction will give a zero on both sides. No  solution.

The same to option B,and C.

For option D;

3x+6y=1

x+y=0 -------this can be written as x= -y

Sustitute x=-y in the first equation

3(-y) +6y =1

-3y+6y=1

3y=1

y=1/3

But x+y=0

Hence;

x+1/3=0

x=-1/3

solution ( -1/3, 1/3)

Lean More

Formula for speed:brainly.com/question/8311838

Solving inequalities:brainly.com/question/11213549

Keywords: distance, average speed, time, equations, solutions

#LearnwithBrainly

5 0
2 years ago
What is true about the completely simplified sum of the polynomials 3x2y2 − 2xy5 and −3x2y2 + 3x4y?
Assoli18 [71]

Answer:

The sum is a binomial with a degree of 6

Step-by-step explanation:

we have

(3x^{2}y^{2}-2xy^{5})+(-3x^{2}y^{2}+3x^{4}y)

Group terms that contain the same variable

(3x^{2}y^{2}-3x^{2}y^{2})-2xy^{5}+3x^{4}y

0-2xy^{5}+3x^{4}y

-2xy^{5}+3x^{4}y

The sum is a binomial ( two terms) with a degree of 6  

-2xy^{5} has a degree of 6 (x has an exponent of 1, y has 5, and 1+5=6)

6 0
2 years ago
Read 2 more answers
In the figure below, \overline{AD} AD start overline, A, D, end overline and \overline{BE} BE start overline, B, E, end overline
VLD [36.1K]

Answer:

<u>The measure of the arc CD = 64°</u>

Step-by-step explanation:

It is required to find the measure of the arc CD in degrees.

So, as shown at the graph

BE and AD are are diameters of circle P

And ∠APE is a right angle ⇒ ∠APE = 90°

So, BE⊥AD

And so, ∠BPE = 90° ⇒(1)

But it is given: ∠BPE = (33k-9)° ⇒(2)

From (1) and (2)

∴ 33k - 9 = 90

∴ 33k = 90 + 9 = 99

∴ k = 99/33 = 3

The measure of the arc CD = ∠CPD = 20k + 4

By substitution with k

<u>∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°</u>

6 0
2 years ago
What is the measure of Angle J K L? Triangle J K L . The exterior angle to angle K has a measure of 83 degrees. 83 degrees 97 de
nasty-shy [4]

Answer:

The measure of angle JKL is 97 degrees.

Step-by-step explanation:

Given:

A triangle JKL .

Measure of exterior angle K = 83 degrees

We have to find the measure of \angle JKL .

In (\triangle\ JKL) we see that the exterior angle is in linear pair with \angle JKL .

Note:

Linear pair angles sum is 180 degree.

Let \angle JKL be 'x' degrees .

So,

⇒ x+83=180

⇒ <em>Subtracting 83 from both sides.</em>

⇒ x+83-83=180-83

⇒ x=180-83

⇒ x=97 degrees

The measure of angle JKL in the triangle is of 97 degrees.

5 0
2 years ago
Read 2 more answers
Gavin and Jim win some money and share it in the ratio 5:2. Gavin gets £39 more than Jim. How much did they get altogether?
gregori [183]

Answer:

Altogether Gavin and Jim won £95.

Step-by-step explanation:

We are given the following in the question:

Ratio of money won by Gavin and Jim = 5:2

Gavin gets £39 more than Jim.

Let x be the amount of money Won by Jim.

Then, money won by Gavin =

=(x+39)

Thus, we can write the equation:

\dfrac{\text{Gavin}}{\text{Jim}} = \dfrac{5}{2}=\dfrac{x+39}{x}

Solving, we get,

\dfrac{5}{2}=\dfrac{x+39}{x}\\\\5x = 2x + 78\\\Rightarrow 3x = 78\\\Rightarrow x = 26\\\Rightarrow (x+39) = 65

Thus, Gavin won £65 and Jim won £26.

Money won altogether =

=65 + 26\\=95

Thus, altogether Gavin and Jim won £95.

5 0
2 years ago
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