The side lengths of a triangle are 6, 8 and 12. Is this a right triangle?

A. Yes, because 6 to the 2nd power + 8 to the 2nd power < 12 to the 2nd power.
B. No, because 6 + 8 ≠ 12.
C. Yes, because 6 to the 2nd power + 8 to the 2nd power = 12 to the 2nd power.
D. No, because 6 to the 2nd power + 8 to the 2nd power ≠ 12 to the 2nd power.

Answers

Answer 1

Answer:

No it's not. 6 to the 2nd power + 8 to the 2nd power ≠ 12 to the 2nd power

Step-by-step explanation:

If you square the shorter lengths and add them together, they add up to one hundred

6^2 + 8^2 --> 38 + 64 = 100

Once you square 12 it equals 144

144 does not equal 100. There for it can't be a right triangle. To be a right triangle, it has to have a ratio pf 3: 4: 5.

Ex: 6: 8: 10,  12: 16: 20, etc.

Hope this helps!


Related Questions

Part of the graph of the function f(x) = (x - 1)(x + 7) is
shown below.
Which statements about the function are true? Select
three options.
The vertex of the function is at (-4,-15).
6
The vertex of the function is at (-3,-16).
4
The graph is increasing on the interval x > -3.
2
The graph is positive only on the intervals where x <-7
and where
X > 1.
+
-8
-6
-4
-2
2
х
2.
The graph is negative on the interval x < -4.
4
-6
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

Step-by-step explanation:

The given function is

[tex]f(x)=(x-1)(x+7)[/tex]

Zeroes of the function are

[tex](x-1)(x+7)=0[/tex]

[tex]x=-7,1[/tex]

It means, f(x) intersect x-axis at x=-7 and x=1.

Mid value of -7 and 1 is the x-coordinate of the vertex.

[tex]\dfrac{-7+1}{2}=-3[/tex]

At x=-3,

[tex]f(-3)=(-3-1)(-3+7)=(-4)(4)=-16[/tex]

So, the vertex of the function is at (-3,-16).

The given function can be written as

[tex]f(x)=x^2+7x-x-7[/tex]

[tex]f(x)=x^2+6x-7[/tex]

Here leading coefficient is negative, it means it is an upward parabola.

So, we conclude that

1. The graph is increasing on the interval x > -3.

2. The graph is decreasing on the interval x < -3.

3. The graph is positive only on the intervals where x <-7 and where x > 1.

4. The graph is negative only on the intervals where -7 < x < 1.

Therefore, the correct options are 2, 3 and 4.

Answer:

THE CORRECT ANSWERS ARE 2,3,4!

Step-by-step explanation:

TOOK THE TEST ON EDGE

Find the sum. Write your answer in simplest form. 2 1/2+ 5 5/8

Answers

Answer:

8 1/8

Step-by-step explanation:

2 4/8 plus 5 5/8

4/8 because it equals to 1/2

Answer:

8 1/8

Step-by-step explanation:

2 1/2+ 5 5/8

2 4/8 + 5 5/8

7 9/8

8 1/8

What is the range of the function shown in this table?
х 3 4 5 6 y 4 4 2 5

Answers

Answer:

2,4,5

Step-by-step explanation:

Do not repeat numbers, u need to put them in order from least to greatest, and range is for the y

Suppose that f is a sine function ... look at the picture

Answers

Answer:

f(3π/4) = -π

A = π

b = 2

Step-by-step explanation:

Given that the function follows the form: f(x) = A sin(bx), then f(0) = 0. Given that the period is π, then at x = π/4 the function reaches a maimum, at x = π/2, f(x) = 0, and at x = 3π/4, f(x) reaches a minimum, which have to be π*(-1) = -π

Given the general equation: f(x) = A sin(bx), its period is calculated as:

period = 2π/b

which is equal to π, then:

2π/b = π

b = 2

Replacing x = π/4 into the equation of the function, we get:

A sin(2(π/4)) = π

A sin(π/2) = π

A = π

What is the length of the arc that measures 60° for the given circle?
A)

2
cm
B)

3
cm
C)
10π
3
cm
D)
10π
9
cm
It also says the radius is 10

Answers

Could you show the given circle please?

Answer: The answer is C.

Step-by-step explanation: I just did it

4. Last year, an intramural touch football team at the local university had a decent

season. The total points scored by the team for each of the 20 games are listed

below.

24

49

28

50

34

51

36

52

36

52

40

62

41

67

43

68

43

73

48

79

Construct a histogram of the data

Answers

Answer:

The histogram is attached

Step-by-step explanation:

The histogram attached shows the points scored in each game, where total number of games are 20

Histogram is made by the following details:

X-Axis: Game No.

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20)

Y-Axis: Total points scored in that game.

(24,49,28,50,34,51,36,52,36,52,40,62,41,67,43,68,43,73,48,79)

Different colors are used for each much so that it is easy to differentiate among them.

Prove that for any natural n the number 3^(n+4)−3n is divisible by 16.

Answers

Answer:

Step-by-step explanation:

Prove that for any natural number 3^(n+4)-3n is divisible by 16.

(I'm going to assume that you mean 3^(n+4)-3^n.)

1. We can break up 3^(n+4)-3n into 3^n * 3^4-3^n (by the rule a^b*a^c = a^b+c).

2. Solve to get 3^n * 81 - 3^n

3. Factor out the 3^n, and you'll get 3^n(81-1), and simplify: 3^n(80)

        You may notice that 80 is divisible by 16.

4. Rewrite what we got from the last step as: 3^n*5(16).

Hope this helped you!

The proof that any natural number n in (3ⁿ⁺⁴ - 3ⁿ) is divisible by 16 is; it was simplified to 3ⁿ × 5

What is the proof that the number is divisible?

We want to show that show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is; (3ⁿ⁺⁴ - 3ⁿ)/16

From laws of indices, we know that;

aᵐ⁺ⁿ = aᵐ × aⁿ.

Thus; 3ⁿ⁺⁴ can be expressed as 3ⁿ × 3⁴.

Thus; (3ⁿ⁺⁴ - 3ⁿ)/16 is;

((3ⁿ × 3⁴) - 3ⁿ) = 3ⁿ((81 - 1)/16)

3ⁿ(80/16) = 3ⁿ × 5

The expression has been fully simplified to show that any natural number n in (3ⁿ⁺⁴ - 3ⁿ) is divisible by 16.

Read more about proof of numbers at; https://brainly.com/question/10657323

Translate the phrases below into inequalities and interval notation. Use the variable x for the inequalities. Phrase Inequality Interval notation at least 11 at most 11 more than 11 fewer than 11 strictly between 3 and 11 between 3 and 11, inclusive no more than 3

Answers

Answer:

At least 11: x≥11  ; At most 11:x≤11 ; More than11: x>11 ; Fewer than 11: x<11; Strictly between 3 and 11 : 3 < x < 11  ; Between 3 and 11: 3≤x≤11  ; Inclusive no more than 3: x≤3

Step-by-step explanation:

At least 11:                          x≥11  

At least means that the number can't be lower than 11 (11 included)

At most 11:                               x≤11

At least means that the number can't be higher than 11 (11 included)

More than11:                                         x>11

More means that the number must be higher than 11 ( 11 not included)

Fewer than 11:                                    x<11

Fewer than means that the number must be lower than 11 ( 11 not included)

Strictly between 3 and 11 :            3 < x < 11  

"Strictly between" means excluding the endpoints

Between 3 and 11:                             3≤x≤11

Including endpoints.

Inclusive no more than 3:                   x≤3

Inclusive includes number 3 (less or equal)

Feel free to ask for more if needed or if you did not understand something.  

Can someone please help me with this?

Answers

Answer:

3/4

Step-by-step explanation:

There are 12 marbles in the bag

9 marbles are not blue

P(not blue) = marbles that are not blue / total marbles

                   = 9/12 = 3/4

What is the gradient of the blue line?

Answers

The gradient of the blue line which shown in the graph and passes from the point (3,0) and (-1,2) is -1/2.

What is the gradient of a line?

The gradient of a line is the difference in the height of the y coordinates and the difference in the width of the coordinates. It can be calculated with the following formula.

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Here, (x1,y1) and (x2,y2) are the coordinates of two points lies on the line.

In the given graph, the blue line passes through the point (3,0) and the form the point (-1,2). Thus, the gradient of the line is,

[tex]m=\dfrac{2-0}{-1-3}\\m=\dfrac{2}{-4}\\m=-\dfrac{1}{2}[/tex]

Thus, the gradient of the blue line which shown in the graph and passes from the point (3,0) and (-1,2) is -1/2.

Learn more about the gradient of a line here;

https://brainly.com/question/11693181

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What is the sum o[tex]\sqrt{-} 2 and \sqrt{} -18[/tex]

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{-2}=\sqrt{2}i\\\\\sqrt{-18}=\sqrt{2*3*3}i=3\sqrt{2}i\\\\\sqrt{-2}+\sqrt{-18}= \sqrt{2}i+3\sqrt{2}i\\ =(1+3)\sqrt{2}i\\\\=4\sqrt{2}i[/tex]

Which table represents a function?

Answers

The one on the far left

Given: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2X
h(g(x))) =
[X²+
X+

Answers

Answer:

- 8x² - 40x - 50

Step-by-step explanation:

Begin by evaluating the inside, that is g(f(x))

Substitute x = f(x) into g(x), that is

g(f(x))

= g(2x + 5)

= (2x + 5)² ← expand using FOIL

= 4x² + 20x + 25

Now substitute x = 4x² + 20x + 25 into h(x)

h(4x² + 20x + 25)

= - 2(4x² + 20x + 25) ← distribute parenthesis by - 2

= - 8x² - 40x - 50

Thus

h(g(f(x))) = - 8x² - 40x - 50

simplify the expression -2 + 15

Answers

Answer: 13

Step-by-step explanation: 15-2=13

Answer is 0 but I think 13 too

Select the correct answer from each drop-down menu.
If x = (10 - 3i) and y= (3 - 10i), then xy=
and r/y

Answers

Answer:

[tex]xy=30-109i+30i^2[/tex]

Step-by-step explanation:

If x=(10-3i) and y=(3-10i), then xy=

[tex](10-3i)(3-10i)=[/tex]

Using the FOIL method:

First: [tex]30[/tex]

Outer: [tex]-100i[/tex]

Inner: [tex]-9i[/tex]

Last: [tex]30i^2[/tex]

[tex]30-100i-9i+30i^2=\\30-109i+30i^2[/tex]

[tex]xy=30-109i+30i^2[/tex]

AB and BC are perpendicular lines find the value of x.
If you know the other please help i, will mark as branliest

Answers

Answer:

X=42

Step-by-step explanation:

AB and BC make a right angle

So, 24°+x+24° =90°

48°+x=90°

X=90°-48°

X=42

______________________________

Answers:

a. 42 degree.

b.i. q=135 degree( being vertically opposite angles)

j=135 degree( being corresponding angles)

b.ii. 225

Step by step explanation:

a. 24+X+24=90[ sum of complementary angles]

or, 48+X=90

or,X= 90-48

X=42 degree

b.i. q=135 degree( being vertically opposite angles)

Vertically angles are always equal to each other.

j=135 degree( being corresponding angles)

Corresponding angles are always equal to each other.

b.ii. p+135=180[ sum of angle in straight line]

or,p= 180-135

p=45 degree.

q= 135 degree[ being vertically opposite angles]

r=p[being vertically opposite angles]

r=45 degree

Now,

p+q+r

= 45+135+45

=225 degree

Hope it helps

Good luck on your assignment

__________________________________

solve the inequality 2/w+3>29/w

Answers

Answer:

w<0 or w>9

Step-by-step explanation:

2

w

+3>

29

w

3w+2

w

>

29

w

Let's find the critical points of the inequality.

3w+2

w

=

29

w

3w+2=29(Multiply both sides by w)

3w2+2w=29w(Multiply both sides by w)

3w2+2w−29w=29w−29w(Subtract 29w from both sides)

3w2−27w=0

3w(w−9)=0(Factor left side of equation)

3w=0 or w−9=0(Set factors equal to 0)

Answer:

Explanation:

2

w

+

3

>

29

w

First take LCM

2

+

3

w

>

29

w

Now you can remove the denominator(LCM) because it is on both sides.

So, we get

2 + 3w > 29

3w > 27

w>9

In this way, we get the answer.

Step-by-step explanation:

Which property of addition is shown below?
If x = 1 + 2i and y = -1 -2i, then x + y = 0.
commutative property
identity property
associative property
inverse property

Answers

Answer:

Inverse Property

Step-by-step explanation:

This property is inverse property with respect to addition.

E.g.

If x=y and z= -y

Then,

x+z = 0

its basically d on edg :)

There are 68 apples in the school kitchen. The school needs 130 apples for all the students in grade 2. The school gets two boxes of apples. Each box has three dozen apples inside. Does the school have enough apples for all the students in grade 2 ?

Answers

Answer:

Yes.

Step-by-step explanation:

Apples needed             =130

apples in the kitchen    =68

130-68= 62 to complete for all the students

1 (3 dozens x 12) = 36 apples x 2= 72

68 +72=140 apples available for all the students

Answer:

Yes

Step-by-step explanation:

The reason for this is because 1 dozen is 12. And the schools bought 6 dozens of apples. If you multiply 36 by 2 you get 72. Then if you add 72+68 you get 140 apples, but the school only needed 130 apples. So yes the school has enough apples for grade 2.

Hope it helps

8x−3=−19+6x
8
x

3
=

19
+
6
x

x=−8

x=8

x=11

x=−11

Answers

Answer:

Solve each equation for x. 1) x – 15 = 24 => x = 39 2) 18 = −6 + x => x = 24 3) 19 — X = 8 => x = 11 4) x – 22 = 24 => x = 46 5) 24 — X = 17 => x = 7 6) 16 — X = 3 ...

Step-by-step explanation:

what is the value of x?

Answers

Answer:

x = 3 will be the answer.

Step-by-step explanation:

From right triangle ABC,

By applying Sine rule,

Sin45° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] = [tex]\frac{BC}{AC}[/tex]

    [tex]\frac{1}{\sqrt{2}}[/tex]  = [tex]\frac{BC}{6\sqrt{2}}[/tex]

BC = 6 units

Now from right triangle BCD,

By applying Cosine rule,

Cos60° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] = [tex]\frac{BD}{BC}[/tex]

[tex]\frac{1}{2}=\frac{x}{6}[/tex]

x = [tex]\frac{6}{2}[/tex]

x = 3

A city has 4 new houses for every 9 old houses. If there are 28 new houses in the city, how many old houses are there?
A. 61
B. 63
C. 67
D. 65

Answers

The answer is B because 4 X 7 is 28 so 9 times 7 is 63

Find the perimeter and area of the rectangle given below. A rectangle ABCD with vertices ​A(2​,4​), ​B(2​,7​), ​C(5​,7​), and ​D(5​,4​).

Answers

Answers:

Perimeter=6 units

Area=0 units ^2

please see the attached picture for full solution

hope it helps

Good luck on your assignment

.In a group of 40 people, 15 people are wearing
sneakers and rest are not. Of the 10 people
who are wearing blue shirts, 5 of them are also
wearing sneakers. What portion of all the people
are not wearing sneaker and not wearing a blue
shirt?​

Answers

Answer:

It should be 5:10 or 5 people not wearing sneakers and 10 not wearing a blue shirt

Step-by-step explanation:

Well it quite simple 1st you have the total which is 40

next you look at the rest, 15 people wearing sneakers plus the 5 waering sneakers and blue shirt. now you have 15.

next you have 10 people wearing but shirts. if you add the numbers you have now you get this: 15+10=25.

Now that you have 25 you can just add numbers to get 25(in that case 10 and 5). whats how you get 5:10

hope this helps (barry_ary)

Answer:

10

Step-by-step explanation:

15+10= 25

25+5=30

40-30=10

10 people are not wearing sneakers and

blue shirts

3. What is the solution to the equation 3x = 15? Express the
solution as a logarithm, make an estimate, and then evaluate.
Round to the nearest thousandth.

Answers

Answer:

x=2.4650

Step-by-step explanation:

I assume that you mean [tex]3^x=15[/tex]

so let s use the ln() function

[tex]ln(3^x)= xln(3)=ln(15)[/tex]

so x = ln(15)/ln(3)

x = 2.4650

Q= 3t^2 - 5th Make h the subject of the formula ​

Answers

Answer:

3t² - Q / 5t

Step-by-step explanation:

Q = 3t² - 5th        collect like terms (separate 5th from the rest of the equation)

5th = 3t² - Q                                                                      (divide both sides by 5t)

h = 3t² - Q / 5t

If this helped please mark me as brainliest

I don’t understand this question & I need to turn this in today.

Answers

Answer:

see below

Step-by-step explanation:

The blue graphs had 2 real solutions since it crosses the x axis twice

The yellow graph has no real solutions since it does no cross the x axis

The red graph has one solutions since it touches the x axis

Find the height of this shape, which has a volume of 21/32 cubic feet. Enter answer as a simplified fraction.
L=3/4
W= 1/4

Answers

Answer:

h=14

Step-by-step explanation:

3/4*1/4=3/16

21/32/(3/16)=14

Answer:

h=25

Step-by-step explanation:

What is the surface area of the regular pyramid given below?
A. 144 units2
B. 352 units2
C. 176 units2
D. 208 units

Answers

Answer:

The surface area of the pyramid is 208 units²

Step-by-step explanation:

Luckily, since this is a square pyramid, we only need to find two numbers. These two numbers are the area of the base and the area of one triangular side. After we find them, we need to add them all together.

First, the base:

Since it's a square, we can just do 8 · 8 and get 64. Now we have one of the two needed numbers.

Second, one of the triangles:

To start, we multiply the base (8) by the height (9) giving us 72. After we divide that by 2, we have the area of the triangle, which is 36. Now we have the second number down. Now we can...

Finally, add them all together:

Now that we have the area of the base (64) and one of our triangles (36), we need to add them together. We add the base once and the triangle four times (because there are four triangles) to get the total surface area. Our expression looks like this:

64 + 36 + 36 + 36 + 36

After doing some simplifying, we get our final number, 208.

The surface area of the pyramid is 208 units²

The surface area of the regular pyramid in the diagram is 208 units².

What is the Area of a Pyramid?

The surface area of the pyramid = Sum of area of the triangular faces + Area of the square base.

Surface area of the pyramid = 2bh + b²

Where b is the base

and h is the perpendicular height of each triangular faces

In the given diagram,

b = 8

h = 9

∴ Surface area of the pyramid = 2×8×9 + 8²

Surface area of the pyramid =  144 + 64

Surface area of the pyramid = 208 units²

Hence, the surface area of the regular pyramid in the diagram is 208 units².

Learn more on Calculating area of Pyramid here: brainly.com/question/22744289

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Calcula la hipotenusa de un triángulo rectángulo, cuyos catetos miden 24 dm y 20 dm, respectivamente.

Answers

Answer:

31.2 dm

Step-by-step explanation:

Podemos calcular a hipotenusa do triángulo empregando a regra de Pitágoras:

[tex]h^2 = a^2 + b^2[/tex]

onde h = hipotenusa

a = unha perna do triángulo

b = outra perna do triángulo

Polo tanto:

[tex]h^2 = 20^2 + 24^2\\\\h^2 = 400 + 576\\\\h^2 = 976\\\\h = \sqrt{976}\\ \\h = 31.2 dm[/tex]

A hipotenusa é de 31,2 dm

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