This relationship leads to the conclusion that there is no Pythagorean triple of this form that contains the integer 2. Why?

The area of a right-angled triangle is represented by the expression

x(x + 2) = 24 having area 24 square feet.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the area of a right-angled triangle is (1/2)×base×height.

Given, The area of a triangle is 24 square feet whose height is 2 more than it's base.

Let, The base of the triangle be 'x', Therefore the measure of the height is (x + 2).

Therefore, The area of the triangle is,

(1/2)×x(x + 2) = 24.

x(x + 2) = 24.

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the value of 2 by 7 and 3 by 7 is: 5/7. This can be solved using the concept of fraction of addition.

A fraction is a piece of the entire. The number is stated in arithmetic as a quotient, which signifies the numerator divided by the denominator. Both are integers in a straightforward fraction. The numerator or denominator of a complex fraction is a fraction. A suitable fraction has a numerator that is smaller than its denominator.

Three main fractional kinds exist. They come in three varieties: appropriate fractions, incorrect fractions, and mixed fractions. The numerator and denominator words are known as fractions. We define its kinds in light of these two words.

the value of 2 by 7 and 3 by 7 is:

= (2/7) + (3/7)

= 5/7

When adding the fractions 2/7 and 3/7 we get 5/7, as the denominator is same.

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Answer:

Approximately 2254 people.

Step-by-step explanation:

Step-by-step explanation:

18 and 5 are both missing if that's what you mean

Answer:

D. 360

Step-by-step explanation: It's being multiplied by plus one more every time you move on to a new term.

So 2*3=6, 6*3=18, 18*4=72, 72*5=360

Answer:

The number of men to number of women be 7 : 8 .

Answer:

[tex]\frac{5}{9}[/tex] in

Step-by-step explanation:

The area (A) of a square is calculated as

A = s² ( s is the side length )

Given A = [tex]\frac{25}{81}[/tex] , then

s² = [tex]\frac{25}{81}[/tex] ( take the square root of both sides )

s = [tex]\sqrt{\frac{25}{81} }[/tex] = [tex]\frac{\sqrt{25} }{\sqrt{81} }[/tex] = [tex]\frac{5}{9}[/tex]

Answer:

-8/15

Step-by-step explanation:

So remember what sin, cos, and tan are.

sin = opposite/hypotenuse

cos = adjacent/hypotenuse

tan = opposite/adjacent

Now, using what we know of sin and cos, lets find opposite and adjacent to solve for tan.

Sin=-8/17

So this must mean that opposite is -8, and the hypotenuse is 17.

Next, lets find adjacent. Cos = 15/17

So this must mean that adjacent is 15, and again, hypotenuse is 17.

Now lets take the -8 of the opposite, and 15 of the adjacent, and get tan.

Tan: -8/15.

17 is not included in this whatsoever, since hypotenuse is not included in tan. And remember that it cannot be -15/8, since its opposite/adjacent, not adjacent/opposite.

Hope this helps!

Answer:

SSS

Step-by-step explanation:

If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle it is known was SSS congruence

Answer:

Step-by-step explanation:

1) the triangle is right, so we can use the Pythagorean theorem

x^2 + 24^2 = (16+x)^2

x^2 + 576 = x^2 + 256 + 32x

32x = 320

x = 10

2) the two segment are congruent, so

7x - 13 = 9x - 23

2x = 10

x = 5

Answer:

There are 47 dimes and 2 pennies.

Step-by-step explanation:

10¢ = 1 dime

$4.70 = 470 ¢

470 dimes = 47 dimes

and 2 pennies

Answer:

Mistake => [tex] \frac{8x}{4} = \frac{4}{4} [/tex]

How it can be fixed => [tex] \frac{8x}{8} = \frac{4}{8} [/tex]

[tex] x = \frac{1}{2} [/tex] (correct answer)

Step-by-step explanation:

The student solved the problem correctly up to the second step where 6 was added to both sides of the equation.

The mistake he made was in his division.

Thus, instead of dividing both sides by 8, he divided both sides by 4, which is incorrect.

Mistake => [tex] \frac{8x}{4} = \frac{4}{4} [/tex]

How it can be fixed => [tex] \frac{8x}{8} = \frac{4}{8} [/tex]

[tex] x = \frac{1}{2} [/tex] (correct answer)

Answer:

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

the first 4 term is (1+2x)^6

The solution for given question of algebra are 10, -42, -38 for question 1st, 2nd and 3rd.

There are several sub-branches of algebra, including commutative algebra, abstract algebra, linear algebra, and elementary algebra.

x + 6/x + 3 = 4/7

7x + 42 = 4x + 12

7x - 4x = 42-12

3x = 30

x = 10

2/x+8 = 3/x+9

2x - 18 = 3x + 24

x = -42

x+2/6 = x-4/7

7x+14 = 6x-24

x = -38

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Answer:

Step-by-step explanation:

 h

------ - 1 = -3

  6

To solve for h, first add 1 to both sides to isolate h/6:

h

---- = -2

 6

Now isolate h by multiplying both sides by 6:

h = -12

Answer:

h is -12

..... .. . . . . .. . . .

Answer:

Acute Angle

Step-by-step explanation:

Answer:

obtuse angle because it is more than 90 degrees

Answer:

This is an example of a combined 45 45 90 triangle and a 60 30 90 triangle. I have put the pictures showing the side lengths.

Step-by-step explanation:

On the 30 60 90, the hypotenuse is 6.

6 = 2x

x = 3

therefore, the two legs of the triangle are measured as 3 and 3[tex]\sqrt3}[/tex]

Now that we have  3[tex]\sqrt3}[/tex] as one of the legs for the other triangle, using the picture of the 45 45 90 triangle, the hypotenuse must be x[tex]\sqrt{2}[/tex].

Since x =  3[tex]\sqrt3x}[/tex],    x[tex]\sqrt{2}[/tex] is 3[tex]\sqrt3}[/tex] x

Therefore x=3[tex]\sqrt{6}[/tex]

If this helps you mark me brainliest pls

Answer:

134

Step-by-step explanation:

If this is right can I get brainliest?

Answer:

140x − 6

Step-by-step explanation:

add the numbers

7x(12+8)-6

7x(20)-6

multiply the numbers

7x times 20-6

=140x-6

The numerical coefficient of xy in the given expression 6xy is 6.

In mathematical terms, a coefficient is a numerical value that is multiplied by a variable in an algebraic expression. The coefficient is the number that appears in front of the variable.

For example, in the expression 3x, the coefficient is 3. In the expression 2[tex]y^2[/tex], the coefficient is 2. In the expression -5[tex]z^3[/tex], the coefficient is -5.

In the case of a constant term in an expression, the coefficient is the constant term itself.

For example, in the expression 3x + 4, the coefficient of x is 3 and the coefficient of the constant term 4 is 4.

Here, in the expression 6xy, the numerical coefficient of xy is 6.

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Answer:

23,16, and 69

Step-by-step explanation:

(x+7) +x +[3(x+7)]=108

(x+7) + x + (3x+21)=108

5x +28=108

5x=80

x=16

1st number 16+7=23

2nd number 16

3rd number 69

Answer:

Audrey paid $5.88

Step-by-step explanation:

$4.59+$1.79=$6.38. That is her total order.

The coupon gives her 50 cents off, so $6.38-$0.50=$5.88

Audrey paid $5.88.

Answer:

answer $5.88 dollars hope this helps. :D

Step-by-step explanation:

f(x)+q(x)

➜3x+5+0

➜3x+5

➜f(x)

Answer:

option

3 is the correct answer

Answer:

x^4+x^3-3x^2-12x

Step-by-step explanation:

0,-4,√3 are the zeros of polynomial. P.

If x=√3 is a zero and P has integer coefficients, then x=-√3 is also a zero. Both of these results come from solving the equation x^2=3 or x^2-3=0 so x^2-3 is a factor of P.

x=0 is a zero, means x-0 or x is a factor.

x=-4 is a zero, means x-(-4) or x+4 is a factor.

So the polynomial, P, in factored form is

x(x^2-3)(x+4)

Let's write in standard form.

I will begin by multiplying the last two factors.

x(x^3+x^2-3x-12)

Distribute x

x^4+x^3-3x^2-12x

The general integral is provided by y = C1e-t + C2te-t + (1/2)(t2)e-t.

(m + 1)2 =0 is the characteristic polynomial for the differential equation y" +2y' + y = e-t.

Roots -1, -1. yh = C1e-t + C2te-t is the answer to the homogeneous equation at that point.

Use the method of variation of parameters, taking into account the independent integrals y1 = e-t, y2 = te-t, and Wronskian

W(t) = e-2t, to derive the specific integral related to f(t) = e-t.

Then, use the conventional formula yp = - y1(t)(Integral of Y2(t)f(t)dt/W(t)) +y

Obtain yp = (1/2)(t2)e-t for the given situation.

As a result, the general integral is provided by

y = C1e-t + C2te-t + (1/2)(t2)e-t.

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Answer:

-2

Step-by-step explanation:

Answer:

the answer is -2

Answer:

D

Step-by-step explanation:

keep the base and add the exponents