English
Creating a Pythagorean Triple
Tess created a Pythagorean triple of (24, 32, 40) by multiplying the known Pythagorean triple 3, 4, and 5 by 8. Is Tess
correct? Can a Pythagorean triple be created using multiplies of a known Pythagorean triple.
O Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.
O Yes, as long as each number in the Pythagorean triple is multiplied by a different whole number.
O No, Pythagorean triples only exist with small numbers.
O No, multiplying a known Pythagorean triple by a whole number will not create a Pythagorean triple.

Answer:

f(x)= -1

f(x)= 3

f(x)= 7

f(x)= 11

Step-by-step explanation:

You need to add the values of x into the function

f(x)= 4(-1) + 3

f(x)= 4(0) + 3

f(x)= 4(1) + 3

f(x)= 4(2) + 3

Answer:

The composition g(f(x)) is:

[tex]g(f(x))=4x^{2}-12x+10[/tex]

Step-by-step explanation:

b) g(f(x)) is a function composition.

So we will have:

[tex]g(f(x))=(f(x))^{2}+1[/tex]

[tex]g(f(x))=(2x-3)^{2}+1[/tex]

[tex]g(f(x))=4x^{2}-12x+9+1[/tex]

[tex]g(f(x))=4x^{2}-12x+10[/tex]

Here:

a is 4

b is -12

c is 10

I hope it helps you!

Answer:

-8 > x

Step-by-step explanation:

56 divided by -7 = -8

-8 > x

make sure to double check before turning it in!

Answer:

2nd quadrant

Step-by-step explanation:

x = -2

y = 4

(-2,4) will be in the 2nd quadrant since it has a negative abscissa (-2) and a positive ordinate (4).

Answer:

±√7

Step-by-step explanation:

[tex]3 {x}^{2} + 7 = 28 \\ 3 {x}^{2} = 21 \\ {x}^{2} = 7 \\ x = \sqrt{7} [/tex]

Answer:

80

Step-by-step explanation:

8 times 10 equals 80

8*10 = 80

Answer:

800000000

Step-by-step explanation:

multiple 8 by 10^8 or 100000000

Answer:

1) B

2) 4.5 feet

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

[tex] \boxed{ \boxed{{x}^{2n- 1} . {y}^{2n - 1} }}[/tex]

Step-by-step explanation:

Answer: 270

Step-by-step explanation:

Length x width= area

15x 18= area

15 x 18= 279

Answer:

The opposite of 4 is -4

Step-by-step explanation:

Hope this helps.

Given:

The equation are

[tex]y=3x+2[/tex]

[tex]y=2x^2+7x-11[/tex]

To find:

The coordinates of intersection points.

Solution:

We have,

[tex]y=3x+2[/tex]          ...(i)

[tex]y=2x^2+7x-11[/tex]           ...(ii)

From (i) and (ii), we get

[tex]3x+2=2x^2+7x-11[/tex]

[tex]0=2x^2+7x-11-3x-2[/tex]

[tex]0=2x^2+4x-13[/tex]

If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then by quadratic formula:

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

In the equation [tex]0=2x^2+4x-13[/tex], we have [tex]a=2,b=4,c=-13[/tex].

Using quadratic formula, we get

[tex]x=\dfrac{-4\pm \sqrt{4^2-4(2)(-13)}}{2(2)}[/tex]

[tex]x=\dfrac{-4\pm \sqrt{16+104}}{4}[/tex]

[tex]x=\dfrac{-4\pm \sqrt{120}}{4}[/tex]

Now,

[tex]x=\dfrac{-4+\sqrt{120}}{4}[/tex] and [tex]x=\dfrac{-4-\sqrt{120}}{4}[/tex]

[tex]x=1.7386[/tex] and [tex]x=-3.7386[/tex]

[tex]x\approx 1.74[/tex] and [tex]x\approx -3.74[/tex]

Putting x=1.74 in (i), we get

[tex]y=3(1.74)+2[/tex]

[tex]y=5.22+2[/tex]

[tex]y=7.22[/tex]

Putting x=-3.74 in (i), we get

[tex]y=3(-3.74)+2[/tex]

[tex]y=-11.22+2[/tex]

[tex]y=-9.22[/tex]

Therefore, the coordinates of the intersection points are (1.74, 7.22) and (-3.74,-9.22).

Answer:

The Geometric mean of two numbers is the square root of their product.

Given numbers are 12,20.

Geometric mean = √(12*20)

= √240.

= 15.49.

= 15.5.

The geometric mean of 12 and 20 is 4√15.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 3 + 3x + 4y = 7 is an expression.

We have,

The geometric mean of a and b is √(ab).

Now,

a = 12 and b = 20

so,

The geometric mean of 12 and 20.

= √(12 x 20)

= √240

= 4√15

Thus,

The geometric mean of 12 and 20 is 4√15.

Learn more about expressions here:

https://brainly.com/question/3118662

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Answer:

x+65=180(being cointerior angle)

x=180-65

x=115

Answer:

x = 8

Step-by-step explanation:

Create the expression:

10(x + 10) = 9(9 + 11)

Do PEMDAS (Parenthesis):

10(x + 10) = 9(20)

Do PEMDAS (Multiplication):

10x + 100 = 180

Cancel out:

10x + 100 = 180

        -100   -100

10x = 80

Simpilfy:

x = 8

Answer:

5y=4+3x, 5y-3x=-1

Step-by-step explanation:

To be parallel they must have different constants but the same slope.

5y-3x=-1

5y=-1+3x and 5y=4+3x fit these requirements.

Answer:

8

Step-by-step explanation:

4 different shirts would be 4 combinations. You can have one of each of the jeans on the mannequin, giving 4x2=8.

Answer:

8

Step-by-step explanation:

Answer:

x = 52

Step-by-step explanation:

Hello there!

All of the angles in a rectangle are right angles

if a right angle has a measure of 90 degrees then we can find x by subtracting the given angle from 90

90 - 38 = 52 so we can conclude that x= 52

Step-by-step explanation:

Each angle in a quadrilateral is 90⁰ therefore 38⁰+x=90⁰

hence x=90⁰-38⁰ which gives you 52⁰

The equivalent function in the form y = ab^x is [tex]F(t)=2,298.1(0.7)^t[/tex]

Give the exponential function in a general sense as y = ab^x

We are to write it in the form [tex]f(t) = ab^t[/tex]

This can be further expressed as;

[tex]F(t) = 6700(0.7)^{3t}\\F(t) = 6700(0.7^3)(0.7^t)\\F(t)=2,298.1(0.7)^t[/tex]

Hence the equivalent function in the form y = ab^x is [tex]F(t)=2,298.1(0.7)^t[/tex]

Learn more on exponential function here: https://brainly.com/question/12940982

Answer:

125 degree

Step-by-step explanation:

As m // n, so angle 2 and angle 6 is the same so angle 2 = 55 degree, then angle 1 + angle 2 = 180 degree, so angle 1 = 180 - 55 = 125 degree.

If it is helpful, please give me Brainliest.

Given:

The radical expression is

[tex]\dfrac{1+\sqrt{5}}{\sqrt{2}}[/tex]

To find:

The value of the given expression after rationalizing the denominator.

Solution:

We have,

[tex]\dfrac{1+\sqrt{5}}{\sqrt{2}}[/tex]

Multiply numerator and denominator by [tex]\sqrt{2}[/tex].

[tex]=\dfrac{(1+\sqrt{5})\times \sqrt{2}}{\sqrt{2}\times \sqrt{2}}[/tex]

[tex]=\dfrac{\sqrt{2}+\sqrt{5}\sqrt{2}}{2}[/tex]

[tex]=\dfrac{\sqrt{2}+\sqrt{10}}{2}[/tex]         [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]

Therefore, the required expression after rationalizing the denominator is [tex]\dfrac{\sqrt{2}+\sqrt{10}}{2}[/tex].

Answer:

m<BDC = 60 degrees

Step-by-step explanation:

m<EBD is 120, m<EBC = 180 (it's a straight angle) so m<DBC = 180-120= 60 degrees.

All angles in a triangle add up to 180. 60+60+x=180. 180-120=x=60.

Answer:

A. 88 square inches

Step-by-step explanation:

I hope this is right

Answer:

88in^2

Step-by-step explanation:

find the surface area of each surface

4 x 2 = 8

2 x 6 = 12

6 x 4 = 24

there is 2 of each type of surface so multiply by 2 then add all surface areas together

16 + 24 +48 = 88

Answer:

Irrational numbers is correct.

The required square root of 5 is an irrational number.

Given that,
The square root of 5, has a decimal expansion that does not end or repeat. To which set of numbers does it belong is to be determined.

In mathematics, a rational number is a number that can be described as the result of a fraction of value or does not have face value.

An irrational number is a type of real number which cannot be represented as a simple fraction or the values that have face value are irrational numbers. Example: √2, √3, and π are all irrational.

Here,
√5 = 2.2360679775..
Which is an irrational number.

Thus, the required square root of 5 is an irrational number.

Learn more about rational numbers here:

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Answer: f would be 1 i think

Step-by-step explanation:

Answer:

7.

Step-by-step explanation:

Substitute -3 for x, and evaluate the expression to get 7.

Answer:

uhhh ok

Step-by-step explanation: