Find the solution of the system of equations.
– 2 – 8y = -30
2x + 8y = 36

Answer:

The rectangle has a width of 18 inches and a height length of 8 inches.

Step-by-step explanation:

The perimeter of a rectangle is described by the equation:

[tex]p = 2w + 2l[/tex]

where l is width, h is height, and p is perimeter.

We're also told that the total perimeter is 52 inches.

We're also told that the length is six inches less than three times the width.  We can express that as [tex]w = 3l - 6[/tex].

We can plug that definition of w into the perimeter equation to find the length:

[tex]p = 2w + 2l\\52 = 2(3l - 6) + 2 * l\\52 = 6l - 12 + 2l\\52 + 12 = 8l\\8l = 64\\l = 64/8\\l = 8[/tex]

Now we can take that and the given perimeter, and substitute those into the perimeter equation to find the width:

[tex]p = 2w + 2l\\52 = 2w + 2(8)\\52 = 2w + 16\\36 = 2w\\w = 36 / 2\\w = 18[/tex]

So the width is 18

Answer:

36

Step-by-step explanation:

since the formula for a square is length times width, and that is 6 x 6 which is 36

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The roots of the given polynomial are ±3/7 and  ±  [tex]\frac{\sqrt{3} }{\sqrt{7} }[/tex].

A polynomial has 2 or more than two terms connected by mathematical operations.A polynomial of degree n has n no. of roots real or imaginary.

A polynomial can be formed as a₁xⁿ + a₂xⁿ⁻¹ + a₃xⁿ⁻² + ...+ aₙx⁰.

According to the given question we have to solve a polynomial of degree 4.

Given, 49k⁴ - 9 = 0

49k⁴ = 9

k⁴ = 9/49

k² = 3/7

k = [tex]\frac{\sqrt{3} }{\sqrt{7} }[/tex].

We know that a polynomial of degree n has n no. of roots.So a polynomial of degree 4 have 4 roots and they are ±3/7 and ±  [tex]\frac{\sqrt{3} }{\sqrt{7} }[/tex].

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Answer:

the first statement is: AB is congruent to DC.

reason: given

Step-by-step explanation:

im not sure about the others

The lateral area of the prism is 182 in².

A three-dimensional structure with two triangle bases and three rectangle sides is called a triangular prism. The two bases are congruent and parallel to one another. It contains 5 faces, 6 vertices, and 9 edges altogether. There are three rectangular sides connecting the vertices and edges of both bases.

The dimensions of the base of a rectangular prism is given as 6 in × 7 in.

A triangular prism's lateral area is equal to the sum of its side faces' areas (which are 3 rectangles). Specifically, it is the total surface area less the surface areas of the two bases. Additionally called the lateral surface area (LSA).

Therefore, the lateral area of the prism is:

LA = 2 ( 6 × 7 ) + 2 ( 7 × 7 )

LA = 2 × 42 + 2 × 49

LA = 84 + 98

LA = 182 in²

Therefore, the lateral area of the prism is 182 in².

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Answer:

the first one of them is right

Answer:

Ben has 38 years older and jerry is 9 years old

Answer:

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

Let the present ages be:

8 years ago:

At present:

Simplify and substitute d into the first equation:

Find d:

Answer:

The degree of the polynomial is 5

Step-by-step explanation:

When we talk of the degree of a polynomial, we refer to the highest power

The highest power here is 4 but that is not the degree in this case

If we notice, there are two different variables attached to the number

One has a degree of 4 and the other has a degree of 1

What we do here is to add these degrees together

The addition of both is 5 and that is the degree of the polynomial

Answer:

X=5

Step-by-step explanation:

3+12x=63

Subtract 3 from both sides

12x=60

Divide both sides by 12

X=5

Answer:

Ummm... Ok... Answer: X = 187 / 39 OR X = 4.794872

Step-by-step explanation:

Multiply all terms by the same value to eliminate fraction denominators

/3  + 1 2  = 63

3(​x/3 + 12x) = 3.63

Simplify

37x = 189

Divide both sides of the equation by the same term

37x = 189

37x / 37 = 189 / 37

Simplify

x = 187 / 39

OR

x = 4.794872

Answer:

d^3+4d^2-16d-64

Step-by-step explanation:

d^d+d^2*4+(-16)d+(-16)*4

d^2d+4d^2-16d-16*4

Answer:

Number of weeks= 9

Step-by-step explanation:

First, we need to calculate the money required to reach the objective:

Money required= 1,483 - 1,195

Money required= $288

Now, we can determine the number of weeks left to accumulate $288 and get to $1,483:

Number of weeks= 288 / 32

Number of weeks= 9

Answer:

B

Step-by-step explanation:

Answer:

where is the picture?

Step-by-step explanation:

Answer:

...

Step-by-step explanation:

Answer: y=−2x+1

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

Curtis is playing a trivia game.

Number of points earned for each correct answer = 2

Number of points lost for each correct answer = 0.25

Given that:

Number of correct answers given by Curtis = 21

Number of wrong answers given by Curtis = 4

To find:

Total score of the game by Curtis?

Solution:

First of all, let us find the points earned by correct answers.

Points earned by correct answers = Number of correct answers multiplied by Points earned on one correct answer.

Points earned by correct answers = 21 [tex]\times[/tex] 2 = 42

Now, let us find the points to be lost by wrong answers.

Points lost by wrong answers = Number of wrong answers multiplied by Points lost on one correct answer.

Points lost by wrong answers = 4 [tex]\times[/tex] 0.25 = 1

The score of the game can be calculated by subtracting the points lost from the points earned.

Score = 42 - 1 = 41

Answer:

the answer is they are the same

Answer:

yes

Step-by-step explanation:

explanation: yes

me: yes

you: yes

others: yes

john cena: no :)

confusion confusion

confusion confusion

It is a straight line in a graphical format.

Answer:

For example a common equation, y=mx+b y = m x + b,is a linear function because it meets both criteria with x and y as variables and m and b as constants.

Step-by-step explanation:

Answer:

[tex]\textbf{It's being divided by -40}[/tex]

Step-by-step explanation:

-5m = -40

-5m/-40

hope it helps!

Answer:

A. 0.15

B. 0.45

C. 85

Step-by-step explanation:

Given that:

Equation to represent the relation between distance, [tex]d[/tex] in miles and time [tex]t[/tex] in seconds:

[tex]d=0.15t[/tex]

A.

To find: The speed of airplane in miles per second.

Formula for speed is given as:

[tex]Speed = \dfrac{Distance}{Time}[/tex]

Here, we will have to find the value of [tex]\frac{d}{t}[/tex].

Dividing the given equation by [tex]t[/tex], we get:

[tex]\dfrac{d}{t}=0.15[/tex]

[tex]d[/tex] is in miles and [tex]t[/tex] is in seconds.

Therefore, the answer is 0.15.

B.

Distance traveled in 30 seconds.

Given that: [tex]t[/tex] = 30 seconds

To find: [tex]d = ?[/tex] in miles

[tex]d = 0.15\times 3 = 0.45[/tex]

C.

The time taken to travel a distance of 12.75 miles.

Given that : [tex]d =12.75\ miles[/tex]

To find: [tex]t = ?[/tex] seconds

[tex]12.75 = 0.15t\\\Rightarrow t = \dfrac{12.75}{0.15}\\\Rightarrow \bold{t = 85}[/tex]

Answer:

yes no yes no yes no yes no

Answer:

1 yes 2 yes 3 no

Step-by-step explanation:

1 and 2 pass the vertical line test and 3 doesnt it intersects in two places

Answer:

First I would find the square root of 72 with a calculator, which happens to be 8.49 (rounded to the nearest hundreth)

So we know that the two integers will be close to 8.48

Since they are consecutive, lets first test out 8 and 9

We multiply these two and get 72, which is the number we were looking for.

now we find their sum.

9 + 8 = 17

Now since this is not part of the answers, we now asume that both 9 and 8 are negative numbers, since negative times a negative is a positive, but a negative plus a negative can still be negative.

-9 + -8 = -9 - 8 = -17!

So, the answer you are looking for is E: -17

Answer: r = 2

Step-by-step explanation: The general equation is:

(x-a)² + (y-b)² = r²

where (a,b) = coordinates of the center, and r = radius

x² + y² = 4 is the same as

(x-0)² + (y-0)² = 2²

So, the center is at (0,0) and the radius is 2.

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of phones produced abroad and y represent the number of phones produced locally.

The company can provide 6000 hours of labor each week and it takes 30 hours to produce the cellphone abroad and at the local factory it takes 20 hours, hence:

30x + 20y = 6000            (1)

Also, there is a total resource of $12000 each week, the cost of producing abroad is $20 and the cost of producing locally is $60. Hence:

20x + 60y = 12000           (2)

Multiply equation 1 by 3 and subtract equation 2 from the result. This gives:

70x = 6000

x = 600/7 ≈ 86

Put x = 86 in equation 1:

30(86) + 20 y = 6000

20y = 3420

y = 171

86 phones should be produced abroad and 171 phones locally

Applying exponent properties, the simplified expression is given by:

[tex]2^{12} \times 3^3[/tex]

The initial expression is given by:

[tex](\sqrt{8^4}\sqrt{6^4})^{\frac{3}{2}}[/tex]

First we simplify the roots, hence:

[tex](\sqrt{8^4}\sqrt{6^4})^{\frac{3}{2}} = (8^2 \times 6^2)^{\frac{3}{2}}[/tex]

6 and 8 can be factored as follows:

Hence:

Then:

[tex](8^2 \times 6^2)^{\frac{2}{3}} = (2^8 \times 3^2)^{\frac{3}{2}} = \sqrt{2^{24} \times 3^6} = 2^{12} \times 3^3[/tex]

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Answer:

B

Step-by-step explanation:

The locations of each irrational numbers can be estimated as follows:

Irrational numbers are real numbers that are not rational, that is, numbers of the form m / n, where m and n are integers and n is different of zero. But it is also known that rational numbers can have an irrational-like presentation not being so (i.e. √4 = 2, √9 = 3). We can estimate the location of each irrational numbers in terms of rational numbers:

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