Find the indicated side of the
triangle.

Answer:

  (A, B, C) = (8, 17, 23) inches

Step-by-step explanation:

We can let A, B, and C represent the corresponding side lengths. Then we are given ...

  A + B + C = 48 . . . . . . the perimeter is 48 inches

  B = A + 9 . . . . . . . . . . . B is 9 inches longer than A

  C = 2A +7 . . . . . . . . . . the base (remaining side) is 7 inches more than ...

Substituting for B and C in the first equation, we have ...

  A + (A+9) +(2A+7) = 48

  4A = 32 . . . . . . . . . . . . . . collect terms, subtract 16

  A = 8

  B = A+9 = 17

  C = 2A +7 = 23

Side A is 8 inches, side B is 17 inches, and side C is 23 inches.

Answer:

10

Step-by-step explanation:

Mathematical Formula: [tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

Therefore: [tex]\sqrt{\left(6-0\right)^2+\left(8-0\right)^2}[/tex]

Which = 10

Answer:

Options (B) and (C)

Step-by-step explanation:

We have to form a function which has following characteristics,

1). Its range is all real numbers

 Which means graph of the given function starts from negative side of the y-axis (-∞) and goes towards positive direction of the y-axis (+∞).

It's a typical characteristic of odd degree polynomial/function.

2). The graph has exactly two x-intercepts.

  Which means when we put f(x) = 0, we get exactly two values of x.

Therefore, function will be, f(x) = x³ + x²

Range of the function → (-∞, ∞) Or a set of all real numbers.

x-intercepts → f(x) = x³ + x² = 0

                             x²(x + 1) = 0

                             x = -1, 0

Therefore, Options (B) and (C) will be the answer.

Answer:

X₁=7 ,X₂ = 5

Step-by-step explanation:

a= 1²  b= - 12   c= 35

X =[ ( -b±√b²-4ac ) / 2a]

So, use this formula and get the answer...

   Even if you use the middle term formula, you will get the same answer

Answer:

[tex]x>-5/2[/tex]

Step-by-step explanation:

So we have:

[tex]8x+3>4(\frac{1}{2}x-3)[/tex]

First, distribute the right:

[tex]8x+3>2x-12[/tex]

Subtract 2x from both sides:

[tex]6x+3>-12[/tex]

Subtract 3 from both sides:

[tex]6x>-15[/tex]

Divide everything by 6:

[tex]x>-15/6[/tex]

Reduce:

[tex]x>-5/2[/tex]

And this is our answer :)

Answer:

A is 1.6 and ion the other ones

Answer:

Step-by-step explanation:

5(-3)^2 - 2

5(9) - 2

45 - 2 = 43

Answer:

  a = 3x^2 +9x

Step-by-step explanation:

Put the given dimensions in the formula and simplify. The distributive property is useful.

  a = (1/2)bh

  a = (1/2)(6x)(x+3) = 3x(x +3)

  a = 3x^2 +9x

Answer:

t = 0.7 h

The time he rode at a slower speed is 1.2 h

Step-by-step explanation:

-The question involves algebra, to find the time the distance formula is used involving the values ​​of distance, time and speed.

- distance = speed 1 * time 1 + speed 2 * time 2

If Oscar traveled for t minutes at 9mph and it took him 15 minutes longer than when he traveled at 16mph it means that:

speed 1 * time 1 + 30 minutes.

But 30 minutes converted to hours is 0.5 hours

22 miles = 9 * (t + 0.5) + 16 * t

22 = 9t + 4.5 + 16t

17.5 = 25t

17.5 / 25 = t

The answer is: t = 0.7

Checking the value in the equation:

22 miles = 9 * (t + 0.5) + 16 * t

22 = 9 * (0.7 + 0.5) + 16 * 0.7

22 = 9 * 1.2 + 11.2

22 = 10.8 + 11.2

22 = 22

Answer:

B

Good luck in Geometry my guy!

The value of k = 20.

We have the following expression -

[tex]\frac{2}{3} (6k-30)+k=100[/tex]

We have to find the value of K.

We have -

[tex]$log(2)^{z} = \pi[/tex]

z x log(2) = π

z = [tex]$\frac{\pi }{log\;2}[/tex]

z = 10.43

According to the question, we have -

[tex]\frac{2}{3} (6k-30)+k=100[/tex]

[tex]\frac{2}{3}\times 6[/tex](k - 5) + k = 100

4(k - 5) + k = 100

4k - 20 + k = 100

6k = 120

k = 20

Hence, the value of k = 20

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Answer:

11481.4875 km

Step-by-step explanation:

Given the that :

Galapagos island and Island of Naura are on the equator

Galapagos = 90.30°W

Island of Naura = 166.56°E

Ensuring same bearing is used for both :

Island of Naura = 166.56°E = (360° - 166.56°) = 193.44°W

Hence, we can calculate the difference in the bearing of both locations :

(193.44 - 90.30)°W = 103.14°

Hence the distance between Galapagos and Island of Naura along the equator is :

(Difference in bearing / total bearing) * earth's Circumference

Earth's Circumference = 40,075km

(103.14 / 360) × 40,075

0.2865 × 40,075

= 11481.4875 km

=

Answer:

The answer is C.

:)

Step-by-step explanation:

4x − 3= −12x + 13​

4x + 12x = 13 + 3

16x = 16

x = 1

Answer:

X=1

Step-by-step explanation:

I took the k12 test and got it right

have a good life =D

One example is the idea of two parts of a book that open up. Each flat part is a plane and the two planes intersect along the spine of the book.

Another example would be a wall intersecting with the floor. Both are flat surfaces.

A third example would be a laptop's screen as one plane and the keyboard as the other plane. They intersect at the hinge of the laptop.

For each example, the surface has a finite amount of area and it doesn't extend forever in all four directions. Theoretically, a plane is where the flat surface extends in all four directions infinitely. Though of course, real life has limitations but the idea is still applicable in a way.

Note how for each example, the two planes intersect to form a line. Also, each plane must be flat without bending or curving in any way.

Answer: Pick anyone that suits you

Step-by-step explanation:

Answer:

[tex]\large \boxed{\mathrm{Eight \ subtracted \ from \ the \ product \ of \ three \ and \ a \ number.}}[/tex]

Step-by-step explanation:

[tex]\sf 3n-8[/tex]

n is a number.

8 is subtracted from the product of 3 and a number.

The verbal expression would be :

Eight subtracted from the product of three and a number.

Answer:

17 ft

Step-by-step explanation:

the area of a square is length x length, or [tex]length^{2}[/tex]

so, since you already have the area, do the opposite of squaring it, which is finding the square root.

[tex]\sqrt{289}[/tex] = 17

The length of each side of a square is   [tex]17 feet[/tex]  whose area is  [tex]289 ft sq[/tex]. (mentioned in the question).

A square is a four-sided figure in which all sides are equal in length and the measure of each angle is [tex]90^0[/tex]. The area is defined as the space that is contained inside the closed boundary or perimeter or circumference.

We know that the

area of the square = [tex]side \times side[/tex]

[tex]289 ft sq[/tex]     [tex]= side \times side[/tex]

[tex]289 = (side) ^2[/tex]

[tex]\sqrt{289 } = side[/tex]

[tex]17 = side[/tex]

Thus, the length of each side of a square consisting of an area of[tex]289 ft sq[/tex] is [tex]17 feet[/tex]  .

Learn more about Square here :

https://brainly.com/question/14198272

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Answer:

B {6, 6, 7}

Step-by-step explanation:

Which set of numbers may represent the lengths of the sides of a triangle? (A) {2,5,9} (B) {6,6,7} (C) {6,4,2} (D) {7,8,1}

For a given triangle with 3 sides, the sun of the length of any two sides must be greater Than the third side. This can be expressed mathematically as;

Let the side be ;

x, y and z

Then:

x > (y + z) or

y > (x + z) or

z > (x + y)

For A{2,5,9}

(2 + 5) < 9 (does not meet criteria)

For B {6,6,7}

(6 +6) > 7

(7 +6) > 6

Meets all criteria

For C {6,4,2}

(4 +2) is not greater Than 6 (does not meet criteria)

For D {7,8,1}

(7 +1) is not greater Than 8 ( does not meet criteria)

Answer:

  use "Help"

Step-by-step explanation:

You need to learn how your software expects to see "infinity." It may need to be spelled out "infinity" or abbreviated "inf" or "infty".

For starters, I suggest you use the "Help" link on the page you show. If that doesn't answer the question, then consult with your instructor.

Answer:

15+(-37)

initial 15

fell 37 so -37

Answer:

B, or the one labeled 15 + (-37)

Step-by-step explanation:

It starts with 15 degrees F, which is positive.

Then, you'd add -37 degrees.

Adding -37 degrees to 15 is the same as subtracting 37 from 15.

Good luck mate :)

Answer:

approximately 26.7 million

Step-by-step explanation:

Let x be the number of cruise passengers in 2017.

6.7% increase of x gives us 28.5 m cruise passengers in 2018.

Thus, 106.7 % of x = 28.5

[tex] \frac{106.7}{100} * x = 28.5 [/tex]

[tex] \frac{106.7x}{100} = 28.5 [/tex]

Multiply both sides by 100

[tex] \frac{106.7x}{100} * 100 = 28.5*100 [/tex]

[tex] 106.7x = 2850 [/tex]

Divide both sides by 106.7

[tex] \frac{106.7x}{106.7} = \frac{2850}{106.7} [/tex]

[tex] x = 26.7 [/tex] (approximated)

Number of passengers in 2017 must have been approximately 26.7 million

Answer:

A

Step-by-step explanation:

Answer:

lol

Step-by-step explanation:

personally... great... just mentally depressed and physically wanting to die but i guess that's great

Answer:

x = -34 , y = 31

Step-by-step explanation suing Gaussian elimination:

Solve the following system:

{2 x + 3 y = 25

3 x + 4 y = 22

Express the system in matrix form:

(2 | 3

3 | 4)(x

y) = (25

22)

Write the system in augmented matrix form and use Gaussian elimination:

(2 | 3 | 25

3 | 4 | 22)

Swap row 1 with row 2:

(3 | 4 | 22

2 | 3 | 25)

Subtract 2/3 × (row 1) from row 2:

(3 | 4 | 22

0 | 1/3 | 31/3)

Multiply row 2 by 3:

(3 | 4 | 22

0 | 1 | 31)

Subtract 4 × (row 2) from row 1:

(3 | 0 | -102

0 | 1 | 31)

Divide row 1 by 3:

(1 | 0 | -34

0 | 1 | 31)

Collect results:

Answer: {x = -34 , y = 31

Answer:

2 works

-3 is extraneous

Step-by-step explanation:

sqrt(x + 7) - 1 = x                      Add 1 to both sides

sqrt(x + 7) = x + 1                     Square both sides

(x + 7) = (x + 1 )^2

x + 7 = x^2 + 2x + 1                Subtract x from both sides

0 = x^2 + x + 1 -7                    

0 = x^2 + x - 6                        This will factor

(x + 3)(x - 2)  = 0                      Find the values for x

x + 3 = 0

x = - 3

x - 2 = 0

x = 2

Now you must check this to see if both values work

sqrt(-3 + 7)  - 1 = -3

sqrt(4) - 1 = -3

2 - 1 =? - 3

1 does not equal - 3. Therefore - 3 is extraneous. Try x = 2

sqrt(2 + 7) - 1 = 2

sqrt(9) - 1 = 2

3 - 1 = 2

2 = 2

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

C(0, 4), T(-6, -3)

The distance between them is

We have the final answer as

Hope this helps you

Answer:

-8 degrees

Step-by-step explanation:

4-12 = -8

It dropped 12 degrees in 7 hours.

Answer: -8°

Step-by-step explanation:

4 - 12

Answer: 11 stamps per page

Step-by-step explanation: 132 divided by 12

Answer:

The associative property states that you can add or multiply regardless of how the numbers are grouped.

Step-by-step explanation:

3+4+9=9+3+4=4+9+3 etc